Pith. sign in

REVIEW 6 minor 188 references

Recent Progress in Ab-Initio Nuclear Theory for Precision Physics Searches in Muonic Atoms and Superallowed $\beta$ Decays

T0 review · 0 major / 6 minor · reviewed 2026-07-30 · grok-4.5

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read Two low-energy Standard Model tests are limited by the same nuclear current correlator, so methods built for one advance the other.

desk verdict Solid methods review that cleanly unifies TPE and the γW box under one hadronic tensor; no new numbers, but the synthesis and outlook are useful and the citations track the primary literature. read the letter →

arxiv 2607.26781 v1 pith:ZPUVB5TD submitted 2026-07-29 nucl-th physics.atom-ph

Simone Salvatore Li Muli , Michael Gennari This is my paper · ORCID
classification nucl-thphysics.atom-ph
keywords abinitionucleartheorymuonicatomssuperallowedbetadecaypolarizabilityradiativecorrectionselectroweakinteractionsStandardModeltestschiraleffectivefield
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Precision tests of the Standard Model at low energy are now limited by nuclear-structure theory rather than by experiment. This review argues that the two-photon-exchange correction to the Lamb shift in muonic atoms and the gamma-W box correction to superallowed beta decays are both controlled by one object: the generalized hadronic tensor. Because of that kinship, chiral effective-field-theory Hamiltonians and currents, Lanczos-based response methods, and Bayesian uncertainty quantification developed for either problem carry over directly to the other. Recent ab initio work in light nuclei has sharpened nuclear charge radii, shown that the helium isotope-shift tension is atomic rather than nuclear, and tightened the nuclear correction that dominates the extraction of Vud for the top-row CKM unitarity test.

What carries the argument

The generalized hadronic tensor: the forward current-current correlator of electroweak operators evaluated with external nuclear states. It carries all the nuclear structure in both the muonic two-photon-exchange amplitude and the gamma-W box radiative correction.

What would settle it

An ab initio gamma-W box for a heavier superallowed emitter, or a determination of the short-range EFT constants, that moves the nuclear-structure correction outside the present uncertainty band and shifts the CKM unitarity deficit by more than the claimed improvement.

Watch

Extended reading notes

Core claim

The leading nuclear-structure corrections that limit two flagship low-energy Standard Model programs—the two-photon exchange in the muonic Lamb shift and the nuclear gamma-W box in superallowed beta decay—are two faces of the same generalized hadronic tensor, a forward electroweak current-current correlator. Methods and uncertainty tools built for one therefore transfer to the other, and recent light-nuclei ab initio results already affect charge radii, the helium isotope-shift puzzle, and the extraction of Vud.

Load-bearing premise

That leftover short-distance and nuclear-shadowing pieces not fully fixed by the low-energy spectral representation can be budgeted as sub-dominant uncertainties without overturning the claimed percent-level control.

Editorial extensions

If this is right

  • Bayesian-quantified two-photon-exchange corrections yield precise helion and alpha-particle charge radii from muonic helium.
  • Nuclear structure is exonerated as the source of the helium isotope-shift tension; the residual discrepancy is atomic.
  • The first ab initio nuclear gamma-W box for 10C to 10B reduces theory uncertainty on that transition’s contribution to Vud.
  • Updated nuclear polarization on charge radii used in the 26mAl analysis can cut the CKM unitarity deficit by about one standard deviation.
  • The same machinery extends to gamma-Z boxes, muon capture, and neutrino-nucleus scattering.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the shared-tensor claim holds, coordinated work on light muonic atoms and light superallowed emitters is the fastest route to deciding whether the Cabibbo anomaly is real.
  • Bridging exact light-nuclei methods to mean-field treatments for medium-mass muonic X-ray targets is the practical bottleneck for the next round of charge-radius experiments.
  • The still-unfitted short-range constants in the EFT route to the nuclear box are one multi-transition fit away from rivaling the current-algebra uncertainty.
Share X Bluesky LinkedIn Reddit HN

Signed reviews

No signed human review yet.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

0 major / 6 minor

Summary. This review argues that the two-photon-exchange (TPE) correction to the Lamb shift in muonic atoms and the nuclear γW-box correction to superallowed β decays are governed by the same generalized hadronic tensor (forward electroweak current–current correlator). Consequently, χEFT Hamiltonians and currents, Lanczos-based response methods, and Bayesian truncation-error quantification developed for one problem transfer directly to the other. The authors summarize the common formalism (spectral representation and multipole decomposition), modern ab initio methods, recent N3LO Bayesian TPE results for muonic helium and their role in resolving the helium isotope-shift puzzle on the nuclear side, and the first ab initio γW-box calculation for 10C→10B with implications for Vud and top-row CKM unitarity, closing with an outlook toward heavier systems and related electroweak processes.

Significance. If the synthesis holds—and the manuscript’s Eqs. (2)–(6) and the cited primary calculations support it—the review usefully unifies two precision programs that are often treated separately, and documents concrete impact: Bayesian-quantified TPE corrections for μ3He+ and μ4He+ that helped exonerate nuclear structure in the helium isotope-shift tension, and an ab initio δNS for 10C→10B that reduces theory uncertainty relative to earlier surveys. Strengths include explicit spectral and multipole machinery, clear linkage of Lanczos response methods across both observables, and transparent discussion of residual uncertainties (nuclear shadowing, unfitted short-range EFT LECs). As a methods-and-results review rather than a new primary derivation, its value is organizational and pedagogical for the precision electroweak nuclear-physics community.

minor comments (6)
  1. [Section 2.1] Section 2.1, after Eq. (2): the normalization convention difference between the unit-normalized non-relativistic tensor and the relativistic β-decay Compton tensor is mentioned, but a single explicit cross-reference to the matching relation later given near Eq. (55) would help readers who enter from the muonic-atom side.
  2. [Section 5.4, Table 2] Table 2: the caption and surrounding text correctly note that CA δNS and EFT δ(0)_NS|mag+LS are not directly comparable; a brief footnote listing which pieces of the full δNS each column includes would reduce the chance of misquotation.
  3. [Section 3.3] Section 3.3: the statement that rigorous Bayesian LEC sampling has not yet been applied to polarizabilities or γW-box amplitudes is important; citing the specific emulator/EC references already in the bibliography at that sentence would tighten the outlook.
  4. [Figure 1] Figure 1 caption: “drawn for a β+ transition such as 10C→10B” is clear; ensuring the printed figure labels (a)/(b) match the in-text “two-photon exchange” / “γW box” wording consistently would aid skimming.
  5. A few typographical inconsistencies appear (e.g., “ab initionuclear”, “texorpdfstring” artifacts in the abstract source, occasional missing spaces after commas in author lists). A copy-edit pass would clean these without affecting content.
  6. [Section 5.1] Section 5.1 / Figure 4: the left panel is described as using PDG 2024 values; if any post-2024 updates to Vus or the unitarity plot are intended to be frozen for the review, a one-line date stamp on the figure source would help longevity.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: review summarizes independent ab-initio results linked by standard current-algebra structure, not by construction from fitted inputs.

full rationale

This manuscript is a methods-and-results review. Its load-bearing claim is that the TPE Lamb-shift correction and the nuclear γW-box correction are both instances of the same generalized forward hadronic tensor (Eqs. 2–6), so χEFT Hamiltonians/currents, Lanczos response methods, and Bayesian truncation UQ transfer between the two programs. That kinship is standard multipole/current-algebra formalism stated explicitly in the text, not defined in terms of the numerical conclusions. Reported milestones (Bayesian N3LO TPE in muonic He; ab-initio δNS for 10C→10B) are prior primary calculations summarized against external benchmarks (CREMA Lamb shifts, electronic isotope shifts, Hardy–Towner Ft surveys, CKM unitarity). Self-citations to the authors’ own TPE and γW papers are normal review practice and do not force the structural claim by definition, fit, or uniqueness theorem. Residual pieces (Bμν/shadowing, unfitted EFT LECs) are budgeted as uncertainties in the primary works, not hidden inputs that manufacture the review’s narrative. No self-definitional loop, fitted-input-as-prediction, or ansatz-smuggling reduction is present.

Assumptions & free parameters 3 free parameters · 6 assumptions · 0 invented entities

As a review, load-bearing content is almost entirely inherited domain machinery: χEFT power counting and currents, non-relativistic spectral representations of forward correlators, multipole decompositions, Lanczos response technology, Bayesian naturalness priors for truncation errors, and Sirlin’s current-algebra organization of radiative corrections. No new particles or forces are postulated. Free parameters appear only as quantities already present in the reviewed primary calculations (χEFT LECs; unknown short-range β-decay LECs in the EFT approach), not as new fits performed here.

free parameters (3)
  • χEFT low-energy constants (LECs) in NN/3N forces and electroweak currents
    Primary calculations reviewed here calibrate LECs to scattering and few-body data; residual LEC uncertainty is not yet fully Bayesian-propagated into polarizabilities or δNS (Section 3.3).
  • Short-range EFT couplings gNN_V1 and gNN_V2 for nucleus-dependent radiative corrections = unknown
    In the tower-of-EFTs approach to δNS these two LECs are presently unknown and dominate the quoted EFT uncertainty until matched to QCD or fit to superallowed data (Section 5.4).
  • EFT breakdown scale Λb and expansion parameter Q in Bayesian truncation model
    Bayesian DOB intervals for δTPE depend on the chosen Q=max(p,mπ)/Λb and naturalness priors for coefficients cn (Section 3.3).
assumptions (6)
  • domain assumption Both TPE (muonic atoms) and the nuclear γW box are encoded in the same generalized forward hadronic tensor built from electroweak currents between nuclear states.
    Stated as the theme of the review (Abstract, Section 1, Figure 1, Section 2); standard in the modern reassessment literature but is the organizing premise.
  • domain assumption Weinberg-style χEFT provides a systematically improvable Hamiltonian and consistent electroweak currents for light nuclei at the precision needed.
    Section 3.1; residual cutoff dependence and power-counting debates are acknowledged but not resolved.
  • domain assumption Non-relativistic spectral sums plus multipoles plus Lanczos resolvents suffice for the leading nuclear-structure pieces after matching to relativistic normalizations.
    Sections 2.1–2.2, 3.2, 5.2–5.3; recoil and relativistic corrections are treated as controlled add-ons.
  • domain assumption Bayesian naturalness priors on EFT coefficients yield statistically meaningful truncation errors (DOB intervals).
    Section 3.3, applied to muonic helium in Section 4.4.
  • domain assumption Sirlin current-algebra decomposition isolates the structure-dependent γW box as the dominant nuclear uncertainty in Vud extractions.
    Section 5.1–5.2; standard SM radiative-correction framework.
  • standard math Mathematical completeness relations, multipole orthogonality, and contour deformation of loop integrals are valid as used.
    Sections 2–3 and 5.3 (Wick rotation and residue bookkeeping in Figure 5).

how reviews work

0 comments
Cite this review

Pith. "Pith review of Recent Progress in Ab-Initio Nuclear Theory for Precision Physics Searches in Muonic Atoms and Superallowed $\beta$ Decays." pith.science (2026). https://pith.science/paper/ZPUVB5TD

@misc{pith2026260726781,
  author       = {Pith},
  title        = {Pith review of: Recent Progress in Ab-Initio Nuclear Theory for Precision Physics Searches in Muonic Atoms and Superallowed $\beta$ Decays},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/ZPUVB5TD}},
  note         = {Machine review of arXiv:2607.26781}
}
abstract

Precision tests of the Standard Model at low energy are increasingly limited by nuclear-structure theory rather than by experiment. We review two such cases: the two-photon-exchange correction to the Lamb shift in muonic atoms, and the \texorpdfstring{$\gamma W$}{gamma-W} box radiative correction to superallowed \texorpdfstring{$\beta$}{beta} decays. Although they probe different physics, both are governed by the same generalized hadronic tensor, so that the chiral effective field theory Hamiltonians and currents, Lanczos-based response methods, and Bayesian uncertainty quantification developed for one carry over directly to the other. We summarize recent ab initio progress in light nuclei and its impact on nuclear charge radii, on the helium isotope-shift puzzle, and on the extraction of \texorpdfstring{$V_{ud}$}{Vud} for the top-row CKM unitarity test, and state a future outlook.

Figures

Figures reproduced from arXiv: 2607.26781 by the authors.

Figure 1
Figure 1. Diagrammatic kinship of the two corrections reviewed here: (a) two-photon exchange in muonic atoms and (b) the γW box in superallowed β decay, drawn for a β + transition such as 10C → 10B. Thin and double lines denote the leptons and the nucleus, respectively. The hatched blob is the same object in both diagrams, the generalized hadronic tensor, carrying two electromagnetic currents in (a) and one electromagnetic an… view at source ↗
Figure 2
Figure 2. (a) Self-energy correction to the bound-muon spectrum due to nuclear polarization, given by the sum of the (b) ladder, (c) crossed, and (d) seagull two-photon-exchange diagrams. its heavy-baryon [101–103] or manifestly covariant [104] formulation, or a data-driven approach, in which the two-photon-exchange correction is evaluated through dispersion relations using measured proton form factors and structure functions… view at source ↗
Figure 3
Figure 3. Pictured is the contribution from a higher-order, virtual electroweak box diagram to the beta decay process of Ψi → Ψf + νe + e +, known as the γW box. We will assume isospin symmetry in the following relativistic derivations, however, it should be noted that isospin-breaking effects are included in all nuclear-structure-dependent pieces of the calculation. This is well-enough justified as superallowed transitions o… view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: (Left) The modern CKM unitarity landscape with values for Vud, Vus and the ratio Vud/Vus annotated with their corresponding experimental extractions [7]. The dashdot lines and bands respectively represent the central value and uncertainty in the extraction of a given t…
Figure 5
Figure 5. Figure 5: Example trajectories of the ν-integral poles in Eq. (53) arising from the dynamics of: (i) the nuclear propagators in T3, plotted in red for ∆n > 0 and green for ∆n < 0; (ii) the photon propagator, plotted in purple; and (iii) the electron propagator, plotted in orange…

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

188 extracted references · 77 canonical work pages

  1. [1]

    Precision Beta Decay as a Probe of New Physics, 2019, [arXiv:nucl-ex/1907.02164]

    Cirgiliano, V .; Garcia, A.; Gazit, D.; Naviliat-Cuncic, O.; Savard, G.; Young, A. Precision Beta Decay as a Probe of New Physics, 2019, [arXiv:nucl-ex/1907.02164]

    arXiv 2019

  2. [2]

    Nuclearβ decay as a probe for physics beyond the Standard Model2023

    Brodeur, M.; Buzinsky, N.; Caprio, M.A.; Cirigliano, V .; Clark, J.A.; Fasano, P .J.; et al. Nuclearβ decay as a probe for physics beyond the Standard Model2023. [arXiv:nucl-ex/2301.03975]

    arXiv

  3. [3]

    Search for new physics with atoms and molecules.Rev

    Safronova, M.S.; Budker, D.; DeMille, D.; Kimball, D.F.J.; Derevianko, A.; Clark, C.W. Search for new physics with atoms and molecules.Rev. Mod. Phys.2018,90, 025008. https://doi.org/10.1103/RevModPhys.90.025 008

    work page doi:10.1103/revmodphys.90.025 2018

  4. [4]

    Superallowed 0+ → 0+ nuclear β decays: 2020 critical survey, with implications for Vud and CKM unitarity.Physical Review C2020,102, 045501

    Hardy, J.C.; Towner, I.S. Superallowed 0+ → 0+ nuclear β decays: 2020 critical survey, with implications for Vud and CKM unitarity.Physical Review C2020,102, 045501. https://doi.org/10.1103/PhysRevC.102.045501

    doi:10.1103/physrevc.102.045501 2020

  5. [5]

    Superallowed Nuclear Beta Decays and Precision Tests of the Standard Model

    Gorchtein, M.; Seng, C.Y. Superallowed Nuclear Beta Decays and Precision Tests of the Standard Model. Annual Review of Nuclear and Particle Science2024,74, 23–47. https://doi.org/https://doi.org/10.1146/ annurev-nucl-102622-020726

  6. [6]

    Reduced Hadronic Uncertainty in the Determi- nation ofV ud.Physical Review Letters2018,121, 241804

    Seng, C.Y.; Gorchtein, M.; Patel, H.H.; Ramsey-Musolf, M.J. Reduced Hadronic Uncertainty in the Determi- nation ofV ud.Physical Review Letters2018,121, 241804. https://doi.org/10.1103/PhysRevLett.121.241804

    work page doi:10.1103/physrevlett.121.241804

  7. [7]

    Review of Particle Physics.Physical Review D2024,110, 030001

    Navas, S.; et al. Review of Particle Physics.Physical Review D2024,110, 030001. https://doi.org/10.1103/ PhysRevD.110.030001

  8. [8]

    Nuclear ab initio calculations of 6Heβ -decay for beyond the Standard Model studies.Physics Letters B2022,832, 137259

    Glick-Magid, A.; Forssén, C.; Gazda, D.; Gazit, D.; Gysbers, P .; Navrátil, P . Nuclear ab initio calculations of 6Heβ -decay for beyond the Standard Model studies.Physics Letters B2022,832, 137259. https://doi.org/ https://doi.org/10.1016/j.physletb.2022.137259

    arXiv 2022

Show all 188 references
  1. [9]

    Ab initio calculation of the β-decay spectrum of 6He.Phys

    King, G.B.; Baroni, A.; Cirigliano, V .; Gandolfi, S.; Hayen, L.; Mereghetti, E.; Pastore, S.; Piarulli, M. Ab initio calculation of the β-decay spectrum of 6He.Phys. Rev. C2023,107, 015503. https://doi.org/10.1103/ PhysRevC.107.015503

  2. [10]

    Comprehensive theory of the Lamb shift in light muonic atoms.Rev

    Pachucki, K.; Lensky, V .; Hagelstein, F.; Li Muli, S.S.; Bacca, S.; Pohl, R. Comprehensive theory of the Lamb shift in light muonic atoms.Rev. Mod. Phys.2024,96, 015001. https://doi.org/10.1103/RevModPhys.96.015 001

    2024 doi

  3. [11]

    Muonic-Atom Spectroscopy and Impact on Nuclear Structure and Precision QED Theory2022

    Antognini, A.; et al. Muonic-Atom Spectroscopy and Impact on Nuclear Structure and Precision QED Theory2022. [arXiv:nucl-th/2210.16929]

    arXiv

  4. [12]

    The size of the proton.Nature2010,466, 213–216

    Pohl, R.; et al. The size of the proton.Nature2010,466, 213–216. https://doi.org/10.1038/nature09250

    doi

  5. [13]

    Proton Structure from the Measurement of 2S-2P Transition Frequencies of Muonic Hydrogen.Science2013,339, 417–420, [https://science.sciencemag.org/content/339/6118/417.full.pdf]

    Antognini, A.; et al. Proton Structure from the Measurement of 2S-2P Transition Frequencies of Muonic Hydrogen.Science2013,339, 417–420, [https://science.sciencemag.org/content/339/6118/417.full.pdf]. https://doi.org/10.1126/science.1230016

    doi

  6. [14]

    CODATA recommended values of the fundamental physical constants: 2018.Rev

    Tiesinga, E.; Mohr, P .J.; Newell, D.B.; Taylor, B.N. CODATA recommended values of the fundamental physical constants: 2018.Rev. Mod. Phys.2021,93, 025010. https://doi.org/10.1103/RevModPhys.93.025010

    2018 doi

  7. [15]

    Measuring the α-particle charge radius with muonic helium-4 ions.Nature2021,589, 527–531

    Krauth, J.; et al. Measuring the α-particle charge radius with muonic helium-4 ions.Nature2021,589, 527–531. https://doi.org/10.1038/s41586-021-03183-1

    doi

  8. [16]

    The helion charge radius from laser spectroscopy of muonic helium-3 ions

    Schuhmann, K.; Fernandes, L.M.P .; Nez, F.; Ahmed, M.A.; Amaro, F.D.; Amaro, P .; Biraben, F.; Chen, T.L.; Covita, D.S.; Dax, A.J.; et al. The helion charge radius from laser spectroscopy of muonic helium-3 ions. Science2025,388, 854–858. https://doi.org/10.1126/science.adj2610

    doi

  9. [17]

    The alpha and helion particle charge radius difference from spectroscopy of quantum-degenerate helium2023

    van der Werf, Y.; Steinebach, K.; Jannin, R.; Bethlem, H.L.; Eikema, K.S.E. The alpha and helion particle charge radius difference from spectroscopy of quantum-degenerate helium2023. [arXiv:physics.atom- ph/2306.02333]

    arXiv

  10. [18]

    Revisiting the Helium Isotope-Shift Puzzle with Improved Uncer- tainties from Nuclear Structure Corrections.Phys

    Li Muli, S.S.; Richardson, T.R.; Bacca, S. Revisiting the Helium Isotope-Shift Puzzle with Improved Uncer- tainties from Nuclear Structure Corrections.Phys. Rev. Lett.2025,134, 032502. https://doi.org/10.1103/ PhysRevLett.134.032502

    2025

  11. [19]

    Toward resolving the discrepancy in helium-3 and helium-4 nuclear charge radii.Phys

    Qi, X.Q.; Zhang, P .P .; Yan, Z.C.; Tang, L.Y.; Chen, A.X.; Shi, T.Y.; Zhong, Z.X. Toward resolving the discrepancy in helium-3 and helium-4 nuclear charge radii.Phys. Rev. Res.2025,7, L022020. https: //doi.org/10.1103/PhysRevResearch.7.L022020

    2025 doi

  12. [20]

    Second-order hyperfine correction to H, D, and3He energy levels

    Pachucki, K.; Patkóš, V .c.v.; Yerokhin, V .A. Second-order hyperfine correction to H, D, and3He energy levels. Phys. Rev. A2024,110, 062806. https://doi.org/10.1103/PhysRevA.110.062806. 29 of 36

    doi

  13. [21]

    Binding energy of muonic beryllium: perturbative versus all-order calculations.Journal of Physics B: Atomic, Molecular and Optical Physics2026,59, 125002

    Rathi, S.; Jentschura, U.D.; Indelicato, P .; Ohayon, B. Binding energy of muonic beryllium: perturbative versus all-order calculations.Journal of Physics B: Atomic, Molecular and Optical Physics2026,59, 125002. https://doi.org/10.1088/1361-6455/ae7b9a

    doi

  14. [22]

    Ab initio calculation of nuclear-structure corrections in muonic atoms.Journal of Physics G: Nuclear and Particle Physics2018,45, 093002

    Ji, C.; Bacca, S.; Barnea, N.; Hernandez, O.J.; Dinur, N.N. Ab initio calculation of nuclear-structure corrections in muonic atoms.Journal of Physics G: Nuclear and Particle Physics2018,45, 093002. https://doi.org/10.1088/ 1361-6471/aad3eb

  15. [23]

    Superallowed 0+ → 0+ nuclear β decays: 2014 critical survey, with precise results for Vud and CKM unitarity.Physical Review C2015,91, 025501

    Hardy, J.C.; Towner, I.S. Superallowed 0+ → 0+ nuclear β decays: 2014 critical survey, with precise results for Vud and CKM unitarity.Physical Review C2015,91, 025501. https://doi.org/10.1103/PhysRevC.91.025501

    2014 doi

  16. [24]

    γW Box Inside Out: Nuclear Polarizabilities Distort the Beta Decay Spectrum.Physical Review Letters2019,123, 042503

    Gorchtein, M. γW Box Inside Out: Nuclear Polarizabilities Distort the Beta Decay Spectrum.Physical Review Letters2019,123, 042503. https://doi.org/10.1103/PhysRevLett.123.042503

    doi

  17. [25]

    Modern theory of nuclear forces.Rev

    Epelbaum, E.; Hammer, H.W.; Meißner, U.G. Modern theory of nuclear forces.Rev. Mod. Phys.2009, 81, 1773–1825. https://doi.org/10.1103/RevModPhys.81.1773

    2009 doi

  18. [26]

    Chiral effective field theory and nuclear forces.Physics Reports2011,503, 1 – 75

    Machleidt, R.; Entem, D. Chiral effective field theory and nuclear forces.Physics Reports2011,503, 1 – 75. https://doi.org/https://doi.org/10.1016/j.physrep.2011.02.001

    2011 doi

  19. [27]

    Nuclear effective field theory: Status and perspectives.Rev

    Hammer, H.W.; König, S.; van Kolck, U. Nuclear effective field theory: Status and perspectives.Rev. Mod. Phys.2020,92, 025004. https://doi.org/10.1103/RevModPhys.92.025004

    2020 doi

  20. [28]

    A Guided Tour of ab initio Nuclear Many-Body Theory.Frontiers in Physics2020,Volume 8 - 2020

    Hergert, H. A Guided Tour of ab initio Nuclear Many-Body Theory.Frontiers in Physics2020,Volume 8 - 2020. https://doi.org/10.3389/fphy.2020.00379

    2020

  21. [29]

    Quantifying truncation errors in effective field theory

    Furnstahl, R.J.; Klco, N.; Phillips, D.R.; Wesolowski, S. Quantifying truncation errors in effective field theory. Phys. Rev. C2015,92, 024005. https://doi.org/10.1103/PhysRevC.92.024005

    doi

  22. [30]

    Quantifying correlated truncation errors in effective field theory.Phys

    Melendez, J.A.; Furnstahl, R.J.; Phillips, D.R.; Pratola, M.T.; Wesolowski, S. Quantifying correlated truncation errors in effective field theory.Phys. Rev. C2019,100, 044001. https://doi.org/10.1103/PhysRevC.100.0440 01

    doi

  23. [31]

    Ab Initio Strategy for Taming the Nuclear- Structure Dependence of Vud Extractions: The 10C → 10B Superallowed Transition.Physical Review Letters 2025,134, 012501

    Gennari, M.; Drissi, M.; Gorchtein, M.; Navrátil, P .; Seng, C.Y. Ab Initio Strategy for Taming the Nuclear- Structure Dependence of Vud Extractions: The 10C → 10B Superallowed Transition.Physical Review Letters 2025,134, 012501. https://doi.org/10.1103/PhysRevLett.134.012501

    2025 doi

  24. [32]

    Cabibbo-Kobayashi-Maskawa unitarity deficit reduction via finite nuclear size.Phys

    Gorchtein, M.; Katyal, V .; Ohayon, B.; Sahoo, B.K.; Seng, C.Y. Cabibbo-Kobayashi-Maskawa unitarity deficit reduction via finite nuclear size.Phys. Rev. Res.2025,7, L042002, [arXiv:nucl-th/2502.17070]. https://doi.org/10.1103/z8g6-9j25

    2025

  25. [33]

    Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei.Physics2024,6, 206–215

    Ohayon, B.; Abeln, A.; Bara, S.; Cocolios, T.E.; Eizenberg, O.; Fleischmann, A.; Gastaldo, L.; Godinho, C.; Heines, M.; Hengstler, D.; et al. Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei.Physics2024,6, 206–215. https://doi.org/10.3390/physics6010015

    doi

  26. [34]

    MMC Array to Study X-Ray Transitions in Muonic Atoms.J

    Unger, D.; Abeln, A.; Cocolios, T.E.; Eizenberg, O.; Enss, C.; Fleischmann, A.; Gastaldo, L.; Godinho, C.; Heines, M.; Hengstler, D.; et al. MMC Array to Study X-Ray Transitions in Muonic Atoms.J. Low Temp. Phys.2024,216, 344–351. https://doi.org/10.1007/s10909-024-03141-x

    2024 doi

  27. [35]

    Charge radii of Cl isotopes from x-ray spectroscopy of muonic atoms2026

    Beyer, K.A.; Cocolios, T.E.; Costache, C.; Demol, P .; Deseyn, M.; Doinaki, A.; Eizenberg, O.; Gorchtein, M.; Heines, M.; Herzá ˇ n, A.; et al. Charge radii of Cl isotopes from x-ray spectroscopy of muonic atoms2026. [arXiv:nucl-ex/2605.08413]

    arXiv

  28. [36]

    Nuclear Charge Radius of9Be from Muonic Atom Spectroscopy Using a Microcalorimeter

    Eizenberg, O.; et al. Nuclear Charge Radius of9Be from Muonic Atom Spectroscopy Using a Microcalorimeter

  29. [37]

    Higher-order proton structure corrections to the Lamb shift in muonic hydrogen.Phys

    Carlson, C.E.; Vanderhaeghen, M. Higher-order proton structure corrections to the Lamb shift in muonic hydrogen.Phys. Rev. A2011,84, 020102. https://doi.org/10.1103/PhysRevA.84.020102

    doi

  30. [38]

    The Proton Structure in and out of Muonic Hydrogen.Annual Review of Nuclear and Particle Science2022,72, 389–418, [https://doi.org/10.1146/annurev-nucl-101920- 024709]

    Antognini, A.; Hagelstein, F.; Pascalutsa, V . The Proton Structure in and out of Muonic Hydrogen.Annual Review of Nuclear and Particle Science2022,72, 389–418, [https://doi.org/10.1146/annurev-nucl-101920- 024709]. https://doi.org/10.1146/annurev-nucl-101920-024709

    doi

  31. [39]

    Nuclear currents in chiral effective field theory.Eur

    Krebs, H. Nuclear currents in chiral effective field theory.Eur. Phys. J. A2020,56, 234. https://doi.org/10.1 140/epja/s10050-020-00230-9

  32. [40]

    https://doi.org/10.1142/ 5500

    Walecka, J.D.Theoretical Nuclear and Subnuclear Physics, 2nd ed.; CO-PUBLISHED WITH IMPERIAL COL- LEGE PRESS, 2004; [https://www.worldscientific.com/doi/pdf/10.1142/5500]. https://doi.org/10.1142/ 5500

    2004 doi

  33. [41]

    Donnelly, T.; Haxton, W. Multipole operators in semileptonic weak and electromagnetic interactions with nuclei: Harmonic oscillator single-particle matrix elements.Atomic Data and Nuclear Data Tables1979, 23, 103–176. https://doi.org/https://doi.org/10.1016/0092-640X(79)90003-...

    doi

  34. [42]

    SevenOperators, a Mathematica script for harmonic oscillator nuclear matrix elements arising in semileptonic electroweak interactions.Computer Physics Communications2008,179, 345–

    Haxton, W.; Lunardini, C. SevenOperators, a Mathematica script for harmonic oscillator nuclear matrix elements arising in semileptonic electroweak interactions.Computer Physics Communications2008,179, 345–

  35. [43]

    Accurate nucleon-nucleon potential with charge-independence breaking.Phys

    Wiringa, R.B.; Stoks, V .G.J.; Schiavilla, R. Accurate nucleon-nucleon potential with charge-independence breaking.Phys. Rev. C1995,51, 38–51. https://doi.org/10.1103/PhysRevC.51.38

    doi

  36. [44]

    High-precision, charge-dependent Bonn nucleon-nucleon potential.Phys

    Machleidt, R. High-precision, charge-dependent Bonn nucleon-nucleon potential.Phys. Rev. C2001, 63, 024001. https://doi.org/10.1103/PhysRevC.63.024001

    doi

  37. [45]

    Quantum Monte Carlo Calculations ofA ≤ 6 Nuclei.Phys

    Pudliner, B.S.; Pandharipande, V .R.; Carlson, J.; Wiringa, R.B. Quantum Monte Carlo Calculations ofA ≤ 6 Nuclei.Phys. Rev. Lett.1995,74, 4396–4399. https://doi.org/10.1103/PhysRevLett.74.4396

    1995 doi

  38. [46]

    Realistic models of pion-exchange three-nucleon interactions.Phys

    Pieper, S.C.; Pandharipande, V .R.; Wiringa, R.B.; Carlson, J. Realistic models of pion-exchange three-nucleon interactions.Phys. Rev. C2001,64, 014001. https://doi.org/10.1103/PhysRevC.64.014001

    doi

  39. [47]

    Nuclear forces from chiral Lagrangians.Phys

    Weinberg, S. Nuclear forces from chiral Lagrangians.Phys. Lett. B1990,251, 288–292. https://doi.org/10.1 016/0370-2693(90)90938-3

  40. [48]

    Effective chiral Lagrangians for nucleon-pion interactions and nuclear forces.Nucl

    Weinberg, S. Effective chiral Lagrangians for nucleon-pion interactions and nuclear forces.Nucl. Phys. B 1991,363, 3–18. https://doi.org/10.1016/0550-3213(91)90231-L

    1991 doi

  41. [49]

    Three-body interactions among nucleons and pions.Phys

    Weinberg, S. Three-body interactions among nucleons and pions.Phys. Lett. B1992,295, 114–121. https://doi.org/10.1016/0370-2693(92)90099-P

    doi

  42. [50]

    Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion.Phys

    Epelbaum, E.; Krebs, H.; Meißner, U.G. Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion.Phys. Rev. Lett.2015,115, 122301. https://doi.org/10.1103/PhysRevLett.115.122301

    2015 doi

  43. [51]

    High-Precision Nuclear Forces From Chiral EFT: State-of-the-Art, Challenges, and Outlook.Front

    Epelbaum, E.; Krebs, H.; Reinert, P . High-Precision Nuclear Forces From Chiral EFT: State-of-the-Art, Challenges, and Outlook.Front. Phys.2020,8, 98. https://doi.org/10.3389/fphy.2020.00098

    2020

  44. [52]

    Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including ∆ resonances.Phys

    Piarulli, M.; Girlanda, L.; Schiavilla, R.; Navarro Pérez, R.; Amaro, J.E.; Ruiz Arriola, E. Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including ∆ resonances.Phys. Rev. C2015, 91, 024003. https://doi.org/10.1103/PhysRevC.91.024003

    doi

  45. [53]

    Perturbative calculations of light nuclei up to N3LO in chiral effective field theory.arXiv preprint arXiv:2604.149852026

    Thim, O.; Ekström, A.; Forssén, C. Perturbative calculations of light nuclei up to N3LO in chiral effective field theory.arXiv preprint arXiv:2604.149852026

    arXiv

  46. [54]

    Chiral Effective Field Theory with Partly Perturbative Pions Applied to the Few-Nucleon Sector

    Thim, O. Chiral Effective Field Theory with Partly Perturbative Pions Applied to the Few-Nucleon Sector. PhD thesis, Chalmers University of Technology, Gothenburg, Sweden, 2026. https://doi.org/10.63959 /chalmers.dt/5891

    2026

  47. [55]

    Local chiral effective field theory interactions and quantum Monte Carlo applications

    Gezerlis, A.; et al. Local chiral effective field theory interactions and quantum Monte Carlo applications. Phys. Rev. C2014,90, 054323. https://doi.org/10.1103/PhysRevC.90.054323

    doi

  48. [56]

    Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering and Neutron Matter

    Lynn, J.; et al. Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering and Neutron Matter. Phys. Rev. Lett2016,116, 062501. https://doi.org/10.1103/PhysRevLett.116.062501

    doi

  49. [57]

    Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory, and Neutron Matter.Front

    Piarulli, M.; Tews, I. Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory, and Neutron Matter.Front. Phys.2020,7, 245. https://doi.org/10.3389/fphy.2019.00245

    2020

  50. [58]

    Maximally local two-nucleon interactions at N3LO in ∆-less chiral effective field theory.Phys

    Somasundaram, R.; Lynn, J.E.; Huth, L.; Schwenk, A.; Tews, I. Maximally local two-nucleon interactions at N3LO in ∆-less chiral effective field theory.Phys. Rev. C2024,109, 034005. https://doi.org/10.1103/ PhysRevC.109.034005

  51. [59]

    Implementation of Local Chiral Interactions in the Hyperspherical Harmonics Formalism.Frontiers in Physics2021,9

    Li Muli, S.S.; Bacca, S.; Barnea, N. Implementation of Local Chiral Interactions in the Hyperspherical Harmonics Formalism.Frontiers in Physics2021,9. https://doi.org/10.3389/fphy.2021.671869

    2021

  52. [60]

    Quantum Monte Carlo calculations of weak transitions in A= 6–10 nuclei.Phys

    Pastore, S.; Baroni, A.; Carlson, J.; Gandolfi, S.; Pieper, S.C.; Schiavilla, R.; Wiringa, R.B. Quantum Monte Carlo calculations of weak transitions in A= 6–10 nuclei.Phys. Rev. C2018,97, 022501. https://doi.org/10 .1103/PhysRevC.97.022501

  53. [61]

    Chiral effective field theory calculations of weak transitions in light nuclei.Phys

    King, G.B.; Andreoli, L.; Pastore, S.; Piarulli, M.; Schiavilla, R.; Wiringa, R.B.; Carlson, J.; Gandolfi, S. Chiral effective field theory calculations of weak transitions in light nuclei.Phys. Rev. C2020,102, 025501. https://doi.org/10.1103/PhysRevC.102.025501

    doi

  54. [62]

    Role of Spin-Isospin Symmetries in Nuclear β-Decays

    Li Muli, S.S.; Djärv, T.R.; Forssén, C.; Phillips, D.R. Role of Spin-Isospin Symmetries in Nuclear β-Decays. Phys. Rev. Lett.2026,136, 242501. https://doi.org/10.1103/vk51-b476

    2026 doi

  55. [63]

    Quantum Monte Carlo methods for nuclear physics.Rev

    Carlson, J.; Gandolfi, S.; Pederiva, F.; Pieper, S.C.; Schiavilla, R.; Schmidt, K.E.; Wiringa, R.B. Quantum Monte Carlo methods for nuclear physics.Rev. Mod. Phys.2015,87, 1067–1118. https://doi.org/10.1103/ RevModPhys.87.1067

    2015

  56. [64]

    Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions.Phys

    Lynn, J.E.; Tews, I.; Carlson, J.; Gandolfi, S.; Gezerlis, A.; Schmidt, K.E.; Schwenk, A. Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions.Phys. Rev. C2017, 96, 054007. https://doi.org/10.1103/PhysRevC.96.054007. 31 of 36

    doi

  57. [65]

    Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions.Phys

    Lonardoni, D.; et al. Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions.Phys. Rev. C2018,97, 044318. https://doi.org/10.1103/PhysRevC.97.044318

    doi

  58. [66]

    Variational Calculation on A = 3 and 4 Nuclei with Non-Local Potentials.Few-Body Systems2006,39, 159–176

    Viviani, M.; Marcucci, L.E.; Rosati, S.; et al.. Variational Calculation on A = 3 and 4 Nuclei with Non-Local Potentials.Few-Body Systems2006,39, 159–176. https://doi.org/https://doi.org/10.1007/s00601-006-0158- y

    doi

  59. [67]

    The hyperspherical harmonics method: a tool for testing and improving nuclear interaction models.Front

    Marcucci, L.E.; Dohet-Eraly, J.; Girlanda, L.; Gnech, A.; Kievsky, A.; Viviani, M. The hyperspherical harmonics method: a tool for testing and improving nuclear interaction models.Front. Phys.2020,8. https://doi.org/10.3389/fphy.2020.00069

    2020

  60. [68]

    State dependent effective interaction for the hyperspherical formalism.Phys

    Barnea, N.; Leidemann, W.; Orlandini, G. State dependent effective interaction for the hyperspherical formalism.Phys. Rev. C2000,61, 054001. https://doi.org/10.1103/PhysRevC.61.054001

    doi

  61. [69]

    Ab initio no core shell model.Progress in Particle and Nuclear Physics2013, 69, 131–181

    Barrett, B.R.; Navrátil, P .; Vary, J.P . Ab initio no core shell model.Progress in Particle and Nuclear Physics2013, 69, 131–181. https://doi.org/https://doi.org/10.1016/j.ppnp.2012.10.003

    2012 doi

  62. [70]

    Coupled-cluster computations of atomic nuclei

    Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M.; Dean, D.J. Coupled-cluster computations of atomic nuclei. Reports on Progress in Physics2014,77, 096302. https://doi.org/10.1088/0034-4885/77/9/096302

    doi

  63. [71]

    The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei.Physics Reports2016,621, 165–222

    Hergert, H.; Bogner, S.; Morris, T.; Schwenk, A.; Tsukiyama, K. The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei.Physics Reports2016,621, 165–222. Memorial Volume in Honor of Gerald E. Brown, https://doi.org/https://doi.org/10.1016/j.physrep....

    2015 doi

  64. [72]

    An iteration method for the solution of the eigenvalue problem of linear differential and integral operators.Journal of Research of the National Bureau of Standards1950,45, 255–282

    Lanczos, C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators.Journal of Research of the National Bureau of Standards1950,45, 255–282. https://doi.org/10.6028/ jres.045.026

  65. [73]

    Komzsik, L.The Lanczos method: evolution and application; SIAM, 2003

    2003

  66. [74]

    Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem.Linear Algebra and its Applications1980,34, 235–258

    Paige, C. Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem.Linear Algebra and its Applications1980,34, 235–258. https://doi.org/https://doi.org/10.1016/0024-3795(80)90167-6

    doi

  67. [75]

    Do we fully understand the symmetric Lanczos algorithm yet?, 1995

    Parlett, B. Do we fully understand the symmetric Lanczos algorithm yet?, 1995

    1995

  68. [76]

    The inverse of a linear operator.Journal of Physics A: Mathematical, Nuclear and General1974, 7, 2120

    Haydock, R. The inverse of a linear operator.Journal of Physics A: Mathematical, Nuclear and General1974, 7, 2120

  69. [77]

    The Recursive Solution of the Schrodinger Equation

    Haydock, R. The Recursive Solution of the Schrodinger Equation. InSolid State Physics; Ehrenreich, H.; Seitz, F.; Turnbull, D., Eds.; Academic Press, 1980; Vol. 35,Solid State Physics, pp. 215–294. https://doi.org/https: //doi.org/10.1016/S0081-1947(08)60505-6

    1980 doi

  70. [78]

    Electronic Structure from the Point of View of the Local Atomic Environment

    Heine, V . Electronic Structure from the Point of View of the Local Atomic Environment. InSolid State Physics; Ehrenreich, H.; Seitz, F.; Turnbull, D., Eds.; Academic Press, 1980; Vol. 35,Solid State Physics, pp. 1–127. https://doi.org/https://doi.org/10.1016/S0081-1947(08)60503-2

    1980 doi

  71. [79]

    Applications of the Recursion Method to the Electronic Structure from an Atomic Point of View

    Kelly, M. Applications of the Recursion Method to the Electronic Structure from an Atomic Point of View. InSolid State Physics; Ehrenreich, H.; Seitz, F.; Turnbull, D., Eds.; Academic Press, 1980; Vol. 35,Solid State Physics, pp. 295–383. https://doi.org/https://doi.org/10.101...

    1980 doi

  72. [80]

    Electronic structure based on the local atomic environment for tight- binding bands.Journal of Physics C: Solid State Physics1972,5, 2845

    Haydock, R.; Heine, V .; Kelly, M.J. Electronic structure based on the local atomic environment for tight- binding bands.Journal of Physics C: Solid State Physics1972,5, 2845. https://doi.org/10.1088/0022-3719/5/ 20/004

    doi

  73. [81]

    58, Springer Science & Business Media, 2012

    Pettifor, D.G.; Weaire, D.L.The Recursion Method and Its Applications: Proceedings of the Conference, Imperial College, London, England September 13–14, 1984; Vol. 58, Springer Science & Business Media, 2012

    1984

  74. [82]

    Efficient method for Lorentz integral transforms of reaction cross sections.Few-Body Systems2003,33, 259–276

    Marchisio, M.; Barnea, N.; Leidemann, W.; Orlandini, G. Efficient method for Lorentz integral transforms of reaction cross sections.Few-Body Systems2003,33, 259–276

  75. [83]

    Piecewise moments method: Generalized Lanczos technique for nuclear response surfaces.Physical Review C2005,72, 065501

    Haxton, W.C.; Nollett, K.M.; Zurek, K.M. Piecewise moments method: Generalized Lanczos technique for nuclear response surfaces.Physical Review C2005,72, 065501. https://doi.org/10.1103/PhysRevC.72.065501

    doi

  76. [84]

    Efficient method for evaluating energy-dependent sum rules

    Nevo Dinur, N.; Barnea, N.; Ji, C.; Bacca, S. Efficient method for evaluating energy-dependent sum rules. Physical Review C2014,89, 064317. https://doi.org/10.1103/PhysRevC.89.064317

    doi

  77. [85]

    Nuclear spin-dependent parity-violating effects in light polyatomic molecules.Physical Review A2020, 102, 052828

    Hao, Y.; Navrátil, P .; Norrgard, E.B.; Iliaš, M.; Eliav, E.; Timmermans, R.G.E.; Flambaum, V .V .; Borschevsky, A. Nuclear spin-dependent parity-violating effects in light polyatomic molecules.Physical Review A2020, 102, 052828. https://doi.org/10.1103/PhysRevA.102.052828

    doi

  78. [86]

    Ab initio calculations of electric dipole moments of light nuclei.Physical Review C 2021,104, 025502

    Froese, P .; Navrátil, P . Ab initio calculations of electric dipole moments of light nuclei.Physical Review C 2021,104, 025502. https://doi.org/10.1103/PhysRevC.104.025502

    2021 doi

  79. [87]

    Correlated electrons in high-temperature superconductors.Reviews of Modern Physics1994, 66, 763–840

    Dagotto, E. Correlated electrons in high-temperature superconductors.Reviews of Modern Physics1994, 66, 763–840. https://doi.org/10.1103/RevModPhys.66.763. 32 of 36

    doi

  80. [88]

    Perturbative-variational approximations to the spectral properties of semibounded Hilbert space operators, based on the moment problem with finite or diverging moments

    Bessis, D.; Villani, M. Perturbative-variational approximations to the spectral properties of semibounded Hilbert space operators, based on the moment problem with finite or diverging moments. Application to quantum mechanical systems.Journal of Mathematical Physics1975,16, 462–474

  81. [89]

    Nuclear structure corrections in muonic atoms

    Li Muli, S.S. Nuclear structure corrections in muonic atoms. PhD thesis, Johannes Gutenberg-Universität Mainz, Mainz, 2023. https://doi.org/10.25358/openscience-13824

    2023 doi

  82. [90]

    Analyzing the Nuclear Interaction: Challenges and New Ideas.Frontiers in Physics2020,Volume 8 - 2020

    Ekström, A. Analyzing the Nuclear Interaction: Challenges and New Ideas.Frontiers in Physics2020,Volume 8 - 2020. https://doi.org/10.3389/fphy.2020.00029

    2020

  83. [91]

    Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables.Phys

    Melendez, J.A.; Wesolowski, S.; Furnstahl, R.J. Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables.Phys. Rev. C2017,96, 024003, [arXiv:nucl-th/1704.03308]. https://doi.org/10 .1103/PhysRevC.96.024003

    arXiv

  84. [92]

    Bayesian methods for parameter estimation in effective field theories.Annals of Physics2009,324, 682–708

    Schindler, M.; Phillips, D. Bayesian methods for parameter estimation in effective field theories.Annals of Physics2009,324, 682–708. https://doi.org/https://doi.org/10.1016/j.aop.2008.09.003

    2008 doi

  85. [93]

    Exploring Bayesian parameter estimation for chiral effective field theory using nucleon–nucleon phase shifts.Journal of Physics G: Nuclear and Particle Physics2019,46, 045102

    Wesolowski, S.; Furnstahl, R.J.; Melendez, J.A.; Phillips, D.R. Exploring Bayesian parameter estimation for chiral effective field theory using nucleon–nucleon phase shifts.Journal of Physics G: Nuclear and Particle Physics2019,46, 045102. https://doi.org/10.1088/1361-6471/aaf5fc

    doi

  86. [94]

    Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory.Phys

    Svensson, I.; Ekström, A.; Forssén, C. Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory.Phys. Rev. C2023,107, 014001. https: //doi.org/10.1103/PhysRevC.107.014001

    doi

  87. [95]

    Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables.Phys

    Wesolowski, S.; Svensson, I.; Ekström, A.; Forssén, C.; Furnstahl, R.J.; Melendez, J.A.; Phillips, D.R. Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables.Phys. Rev. C2021,104, 064001. https...

    doi

  88. [96]

    Eigenvector Continuation with Subspace Learning

    Frame, D.; He, R.; Ipsen, I.; Lee, D.; Lee, D.; Rrapaj, E. Eigenvector Continuation with Subspace Learning. Phys. Rev. Lett.2018,121, 032501. https://doi.org/10.1103/PhysRevLett.121.032501

    2018 doi

  89. [97]

    Eigenvector continuation as an efficient and accurate emulator for uncertainty quantification.Physics Letters B2020,810, 135814

    König, S.; Ekström, A.; Hebeler, K.; Lee, D.; Schwenk, A. Eigenvector continuation as an efficient and accurate emulator for uncertainty quantification.Physics Letters B2020,810, 135814. https://doi.org/https: //doi.org/10.1016/j.physletb.2020.135814

    2020

  90. [98]

    Bayesian predictions for A= 6 nuclei using eigenvector continuation emulators.Phys

    Djärv, T.; Ekström, A.; Forssén, C.; Johansson, H.T. Bayesian predictions for A= 6 nuclei using eigenvector continuation emulators.Phys. Rev. C2022,105, 014005. https://doi.org/10.1103/PhysRevC.105.014005

    doi

  91. [99]

    Uncertainty quantification in electromagnetic observables on nuclei.Frontiers in Physics 2023,10

    Acharya, B.; et al. Uncertainty quantification in electromagnetic observables on nuclei.Frontiers in Physics 2023,10. https://doi.org/10.3389/fphy.2022.1066035

    2023

  92. [100]

    Laser spectroscopy of muonic deuterium.Science2016,353, 669–673, [https://www.science.org/doi/pdf/10.1126/science.aaf2468]

    Pohl, R.; et al. Laser spectroscopy of muonic deuterium.Science2016,353, 669–673, [https://www.science.org/doi/pdf/10.1126/science.aaf2468]. https://doi.org/10.1126/science.aaf2468

    doi

  93. [101]

    Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory

    Nevado, D.; Pineda, A. Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory. Phys. Rev. C2008,77, 035202. https://doi.org/10.1103/PhysRevC.77.035202

    doi

  94. [102]

    The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory.Nucl

    Peset, C.; Pineda, A. The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory.Nucl. Phys. B2014,887, 69. https://doi.org/10.1016/j.nuclphysb.2014.07.027

    2014 doi

  95. [103]

    Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory.Eur

    Birse, M.C.; McGovern, J.A. Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory.Eur. Phys. J. A2012,48, 120. https://doi.org/10.1140/epja/i2012-12120-8

    doi

  96. [104]

    Chiral perturbation theory of muonic-hydrogen Lamb shift: polarizability contribution.Eur

    Alarcón, J.M.; Lensky, V .; Pascalutsa, V . Chiral perturbation theory of muonic-hydrogen Lamb shift: polarizability contribution.Eur. Phys. J. C2014,74, 2852. https://doi.org/10.1140/epjc/s10052-014-2852-0

    doi

  97. [105]

    Nuclear polarization corrections to µ-d atoms in zero-range approximation.Phys

    Friar, J.L. Nuclear polarization corrections to µ-d atoms in zero-range approximation.Phys. Rev. C2013, 88, 034003. https://doi.org/10.1103/PhysRevC.88.034003

    doi

  98. [106]

    Nuclear Structure Corrections in Muonic Deuterium.Phys

    Pachucki, K. Nuclear Structure Corrections in Muonic Deuterium.Phys. Rev. Lett.2011,106, 193007. https://doi.org/10.1103/PhysRevLett.106.193007

    2011 doi

  99. [107]

    Nuclear structure effects in light muonic atoms.Phys

    Pachucki, K.; Wienczek, A. Nuclear structure effects in light muonic atoms.Phys. Rev. A2015,91, 040503. https://doi.org/10.1103/PhysRevA.91.040503

    doi

  100. [108]

    Improved estimates of the nuclear structure corrections in µD.Physics Letters B2014,736, 344–349

    Hernandez, O.; Ji, C.; Bacca, S.; Nevo Dinur, N.; Barnea, N. Improved estimates of the nuclear structure corrections in µD.Physics Letters B2014,736, 344–349. https://doi.org/https://doi.org/10.1016/j.physletb. 2014.07.039

    2014 doi

  101. [109]

    The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties.Phys

    Hernandez, O.J.; Ekström, A.; Nevo Dinur, N.; Ji, C.; Bacca, S.; Barnea, N. The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties.Phys. Lett. B2018,778, 377–383, [arXiv:nucl-th/1711.01199]. https://doi.org/10.1016/j.physletb.2018.01.043

    2018 arXiv

  102. [110]

    Probing uncertainties of nuclear structure corrections in light muonic atoms.Phys

    Hernandez, O.J.; Ji, C.; Bacca, S.; Barnea, N. Probing uncertainties of nuclear structure corrections in light muonic atoms.Phys. Rev. C2019,100, 064315. https://doi.org/10.1103/PhysRevC.100.064315. 33 of 36

    doi

  103. [111]

    Deuteron charge radius from the Lamb-shift measurement in muonic deuterium.Phys

    Kalinowski, M. Deuteron charge radius from the Lamb-shift measurement in muonic deuterium.Phys. Rev. A2019,99, 030501. https://doi.org/10.1103/PhysRevA.99.030501

    doi

  104. [112]

    Dispersive evaluation of the Lamb shift in muonic deuterium from chiral effective field theory.Phys

    Acharya, B.; Lensky, V .; Bacca, S.; Gorchtein, M.; Vanderhaeghen, M. Dispersive evaluation of the Lamb shift in muonic deuterium from chiral effective field theory.Phys. Rev. C2021,103, 024001, [arXiv:nucl- th/2010.11155]. https://doi.org/10.1103/PhysRevC.103.024001

    2010 arXiv

  105. [113]

    A reassessment of nuclear effects in muonic deuterium using pionless effective field theory at N3LO.Phys

    Lensky, V .; Hagelstein, F.; Pascalutsa, V . A reassessment of nuclear effects in muonic deuterium using pionless effective field theory at N3LO.Phys. Lett. B2022,835, 137500. https://doi.org/10.1016/j.physletb. 2022.137500

    2022

  106. [114]

    Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory.Eur

    Lensky, V .; Hagelstein, F.; Pascalutsa, V . Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory.Eur. Phys. J. A2022,58, 224, [arXiv:nucl-th/2206.14756]. https://doi.org/10.1140/ epja/s10050-022-00854-z

    arXiv

  107. [115]

    Nuclear-structure contribution to the Lamb shift in muonic deuterium.Phys

    Carlson, C.E.; Gorchtein, M.; Vanderhaeghen, M. Nuclear-structure contribution to the Lamb shift in muonic deuterium.Phys. Rev. A2014,89, 022504. https://doi.org/10.1103/PhysRevA.89.022504

    doi

  108. [116]

    Nuclear structure corrections to the Lamb shift in µHe+3 and µH3.Physics Letters B2016,755, 380–386

    Nevo Dinur, N.; Ji, C.; Bacca, S.; Barnea, N. Nuclear structure corrections to the Lamb shift in µHe+3 and µH3.Physics Letters B2016,755, 380–386. https://doi.org/https://doi.org/10.1016/j.physletb.2016.02.023

    2016 doi

  109. [117]

    Nuclear Polarization Corrections to the µ4He+ Lamb Shift.Phys

    Ji, C.; Nevo Dinur, N.; Bacca, S.; Barnea, N. Nuclear Polarization Corrections to the µ4He+ Lamb Shift.Phys. Rev. Lett.2013,111, 143402. https://doi.org/10.1103/PhysRevLett.111.143402

    2013 doi

  110. [118]

    Bayesian analysis of nuclear polarizability corrections to the Lamb shift of muonic H-atoms and He-ions.J

    Li Muli, S.S.; Acharya, B.; Hernandez, O.J.; Bacca, S. Bayesian analysis of nuclear polarizability corrections to the Lamb shift of muonic H-atoms and He-ions.J. Phys. G2022,49, 105101, [arXiv:nucl-th/2203.10792]. https://doi.org/10.1088/1361-6471/ac81e0

    arXiv

  111. [119]

    Nuclear polarization corrections in µ− 4 He atoms.Phys

    Friar, J.L. Nuclear polarization corrections in µ− 4 He atoms.Phys. Rev. C1977,16, 1540–1548. https: //doi.org/10.1103/PhysRevC.16.1540

    doi

  112. [120]

    Nuclear polarization shifts in light muonic atoms.Nuclear Physics A1983,393, 301–313

    Rosenfelder, R. Nuclear polarization shifts in light muonic atoms.Nuclear Physics A1983,393, 301–313. https://doi.org/https://doi.org/10.1016/0375-9474(83)90144-6

    doi

  113. [121]

    Higher-order nuclear-polarizability corrections in atomic hydrogen.Phys

    Friar, J.L.; Payne, G.L. Higher-order nuclear-polarizability corrections in atomic hydrogen.Phys. Rev. C 1997,56, 619–630. https://doi.org/10.1103/PhysRevC.56.619

    1997 doi

  114. [122]

    Nuclear polarizability of helium isotopes in atomic transitions.Phys

    Pachucki, K.; Moro, A.M. Nuclear polarizability of helium isotopes in atomic transitions.Phys. Rev. A2007, 75, 032521. https://doi.org/10.1103/PhysRevA.75.032521

    doi

  115. [123]

    Three-photon-exchange nuclear structure correction in hydrogenic systems.Phys

    Pachucki, K.; Patkóš, V .c.v.; Yerokhin, V .A. Three-photon-exchange nuclear structure correction in hydrogenic systems.Phys. Rev. A2018,97, 062511. https://doi.org/10.1103/PhysRevA.97.062511

    doi

  116. [124]

    The muX project.SciPost Phys

    Wauters, F.; Knecht, A. The muX project.SciPost Phys. Proc.2021,5, 022. https://doi.org/10.21468 /SciPostPhysProc.5.022

    2021

  117. [125]

    Muonic atom spectroscopy with microgram target material.Eur

    Adamczak, A.; Antognini, A.; Berger, N.; Cocolios, T.E.; Deokar, N.; Düllmann, C.E.; Eggenberger, A.; Eichler, R.; Heines, M.; Hess, H.; et al. Muonic atom spectroscopy with microgram target material.Eur. Phys. J. A 2023,59, 15. https://doi.org/10.1140/epja/s10050-023-00930-y

    2023 doi

  118. [126]

    Theory Framework for Medium-Mass Muonic Atoms2026

    Rathi, S.; Valuev, I.A.; Sun, Z.; Heines, M.; Indelicato, P .; Ohayon, B.; Oreshkina, N.S. Theory Framework for Medium-Mass Muonic Atoms2026. [arXiv:physics.atom-ph/2603.22021]

  119. [127]

    Muonic Lithium atoms: nuclear structure corrections to the Lamb shift

    Li Muli, S.; Poggialini, A.; Bacca, S. Muonic Lithium atoms: nuclear structure corrections to the Lamb shift. SciPost Phys. Proc.2020,3, 028, [arXiv:nucl-th/1910.14370]. https://doi.org/10.21468/SciPostPhysProc.3.028

    2020 arXiv

  120. [128]

    A hitchhiker’s guide to nuclear polarization in muonic atoms2025

    Gorchtein, M. A hitchhiker’s guide to nuclear polarization in muonic atoms2025. [arXiv:nucl-th/2501.15274]

  121. [129]

    Evidence Against Nuclear Polarization as Source of Fine-Structure Anomalies in Muonic Atoms.Phys

    Valuev, I.A.; Colò, G.; Roca-Maza, X.; Keitel, C.H.; Oreshkina, N.S. Evidence Against Nuclear Polarization as Source of Fine-Structure Anomalies in Muonic Atoms.Phys. Rev. Lett.2022,128, 203001, [arXiv:physics.atom- ph/2201.09638]. https://doi.org/10.1103/PhysRevLett.128.203001

    2022

  122. [130]

    Full leading-order nuclear polarization in highly charged ions.Phys

    Valuev, I.A.; Oreshkina, N.S. Full leading-order nuclear polarization in highly charged ions.Phys. Rev. A 2024,109, 042811. https://doi.org/10.1103/PhysRevA.109.042811

    2024 doi

  123. [131]

    208Pb Nuclear Charge Radius Revisited: Closing the Fine-Structure-Anomaly Gap.Phys

    Sun, Z.; Beyer, K.A.; Mandrykina, Z.A.; Valuev, I.A.; Keitel, C.H.; Oreshkina, N.S. 208Pb Nuclear Charge Radius Revisited: Closing the Fine-Structure-Anomaly Gap.Phys. Rev. Lett.2025,135, 163002. https: //doi.org/10.1103/h3xz-xdxr

    2025 doi

  124. [132]

    Relativistic recoil as a key to the fine-structure puzzle in muonic 90Zr2025

    Beyer, K.A.; Valuev, I.A.; Mandrykina, Z.A.; Sun, Z.; Oreshkina, N.S. Relativistic recoil as a key to the fine-structure puzzle in muonic 90Zr2025. [arXiv:physics.atom-ph/2511.22298]

  125. [133]

    Radiative Corrections to Semileptonic Beta Decays: Progress and Challenges.Particles2021, 4, 397–467

    Seng, C.Y. Radiative Corrections to Semileptonic Beta Decays: Progress and Challenges.Particles2021, 4, 397–467. https://doi.org/10.3390/particles4040034

    doi

  126. [134]

    Unitary Symmetry and Leptonic Decays.Physical Review Letters1963,10, 531–533

    Cabibbo, N. Unitary Symmetry and Leptonic Decays.Physical Review Letters1963,10, 531–533. https: //doi.org/10.1103/PhysRevLett.10.531. 34 of 36

    doi

  127. [135]

    CP-Violation in the Renormalizable Theory of Weak Interaction.Progress of Theoretical Physics1973,49, 652–657

    Kobayashi, M.; Maskawa, T. CP-Violation in the Renormalizable Theory of Weak Interaction.Progress of Theoretical Physics1973,49, 652–657. https://doi.org/10.1143/PTP .49.652

    doi

  128. [136]

    Current algebra formulation of radiative corrections in gauge theories and the universality of the weak interactions.Reviews of Modern Physics1978,50, 573–605

    Sirlin, A. Current algebra formulation of radiative corrections in gauge theories and the universality of the weak interactions.Reviews of Modern Physics1978,50, 573–605. https://doi.org/10.1103/RevModPhys.50.5 73

    doi

  129. [137]

    Versuch einer Theorie derβ-Strahlen

    Fermi, E. Versuch einer Theorie derβ-Strahlen. I.Zeitschrift für Physik1934,88, 161–177

  130. [138]

    All orders factorization and the Coulomb problem.Physical Review D2024,109, 056006

    Hill, R.J.; Plestid, R. All orders factorization and the Coulomb problem.Physical Review D2024,109, 056006. https://doi.org/10.1103/PhysRevD.109.056006

    doi

  131. [139]

    Field Theory of the Fermi Function.Physical Review Letters2024,133, 021803

    Hill, R.J.; Plestid, R. Field Theory of the Fermi Function.Physical Review Letters2024,133, 021803. https: //doi.org/10.1103/PhysRevLett.133.021803

    doi

  132. [140]

    General Properties of the Electromagnetic Corrections to the Beta Decay of a Physical Nucleon

    Sirlin, A. General Properties of the Electromagnetic Corrections to the Beta Decay of a Physical Nucleon. Physical Review1967,164, 1767–1775. https://doi.org/10.1103/PhysRev.164.1767

    doi

  133. [141]

    Accurate Verification of the Conserved-Vector-Current and Standard-Model Predic- tions.Physical Review Letters1986,57, 1994–1997

    Sirlin, A.; Zucchini, R. Accurate Verification of the Conserved-Vector-Current and Standard-Model Predic- tions.Physical Review Letters1986,57, 1994–1997. https://doi.org/10.1103/PhysRevLett.57.1994

    1994 doi

  134. [142]

    Radiative corrections to 0 +-0+ β transitions.Physical Review D1987,35, 3420–3422

    Jaus, W.; Rasche, G. Radiative corrections to 0 +-0+ β transitions.Physical Review D1987,35, 3420–3422. https://doi.org/10.1103/PhysRevD.35.3420

    doi

  135. [143]

    Remarks concerning the O(Z α2) corrections to Fermi decays, conserved-vector-current predictions, and universality.Physical Review D1987,35, 3423–3427

    Sirlin, A. Remarks concerning the O(Z α2) corrections to Fermi decays, conserved-vector-current predictions, and universality.Physical Review D1987,35, 3423–3427. https://doi.org/10.1103/PhysRevD.35.3423

    doi

  136. [144]

    Precision measurements and CKM unitarity.Physical Review D2004, 70, 093006

    Czarnecki, A.; Marciano, W.J.; Sirlin, A. Precision measurements and CKM unitarity.Physical Review D2004, 70, 093006. https://doi.org/10.1103/PhysRevD.70.093006

    doi

  137. [145]

    The Fermi function and the neutron’s lifetime.Physics Letters B2025,868, 139678

    Vander Griend, P .; Cao, Z.; Hill, R.J.; Plestid, R. The Fermi function and the neutron’s lifetime.Physics Letters B2025,868, 139678. https://doi.org/https://doi.org/10.1016/j.physletb.2025.139678

    2025

  138. [146]

    TheZα2 correction to superallowed beta decays in effective field theory and implications for|V ud|.arXiv2025, [arXiv:hep-ph/2511.05446]

    Cao, Z.; Hill, R.J.; Plestid, R.; Vander Griend, P . TheZα2 correction to superallowed beta decays in effective field theory and implications for|V ud|.arXiv2025, [arXiv:hep-ph/2511.05446]

  139. [147]

    Dispersive evaluation of the inner radiative correction in neutron and nuclear β decay.Physical Review D2019,100, 013001

    Seng, C.Y.; Gorchtein, M.; Ramsey-Musolf, M.J. Dispersive evaluation of the inner radiative correction in neutron and nuclear β decay.Physical Review D2019,100, 013001. https://doi.org/10.1103/PhysRevD.100. 013001

    doi

  140. [148]

    Joint lattice QCD–dispersion theory analysis confirms the quark-mixing top-row unitarity deficit.Physical Review D2020,101, 111301

    Seng, C.Y.; Feng, X.; Gorchtein, M.; Jin, L.C. Joint lattice QCD–dispersion theory analysis confirms the quark-mixing top-row unitarity deficit.Physical Review D2020,101, 111301. https://doi.org/10.1103/ PhysRevD.101.111301

  141. [149]

    Electroweak axial structure functions and improved extraction of the Vud CKM matrix element.Physical Review D2021,104, 033003

    Shiells, K.; Blunden, P .G.; Melnitchouk, W. Electroweak axial structure functions and improved extraction of the Vud CKM matrix element.Physical Review D2021,104, 033003. https://doi.org/10.1103/PhysRevD.104. 033003

    doi

  142. [150]

    Radiative corrections to neutron and nuclear beta decays revisited

    Czarnecki, A.; Marciano, W.J.; Sirlin, A. Radiative corrections to neutron and nuclear beta decays revisited. Physical Review D2019,100, 073008. https://doi.org/10.1103/PhysRevD.100.073008

    doi

  143. [151]

    Microscopic Calculations of Isospin-Breaking Corrections to Superallowed Beta Decay.Physical Review Letters2011,106, 132502

    Satuła, W.; Dobaczewski, J.; Nazarewicz, W.; Rafalski, M. Microscopic Calculations of Isospin-Breaking Corrections to Superallowed Beta Decay.Physical Review Letters2011,106, 132502. https://doi.org/10.1103/ PhysRevLett.106.132502

  144. [152]

    Corrections to the Fermi Matrix Element for Superallowed β Decay.Physical Review Letters1989,62, 866–869

    Ormand, W.E.; Brown, B.A. Corrections to the Fermi Matrix Element for Superallowed β Decay.Physical Review Letters1989,62, 866–869. https://doi.org/10.1103/PhysRevLett.62.866

    doi

  145. [153]

    Large-basis shell-model calculations for p-shell nuclei.Physical Review C1998, 57, 3119–3128

    Navrátil, P .; Barrett, B.R. Large-basis shell-model calculations for p-shell nuclei.Physical Review C1998, 57, 3119–3128. https://doi.org/10.1103/PhysRevC.57.3119

    doi

  146. [154]

    Ab initio shell model for A=10 nuclei.Physical Review C2002, 66, 024314

    Caurier, E.; Navrátil, P .; Ormand, W.; Vary, J. Ab initio shell model for A=10 nuclei.Physical Review C2002, 66, 024314

  147. [155]

    Isospin-symmetry-breaking corrections to superallowed Fermiβ decay: Formalism and schematic models.Physical Review C2008,78, 035501

    Miller, G.A.; Schwenk, A. Isospin-symmetry-breaking corrections to superallowed Fermiβ decay: Formalism and schematic models.Physical Review C2008,78, 035501. https://doi.org/10.1103/PhysRevC.78.035501

    doi

  148. [156]

    Isospin-symmetry-breaking corrections to superallowed Fermi β decay: Radial excitations.Physical Review C2009,80, 064319

    Miller, G.A.; Schwenk, A. Isospin-symmetry-breaking corrections to superallowed Fermi β decay: Radial excitations.Physical Review C2009,80, 064319. https://doi.org/10.1103/PhysRevC.80.064319

    doi

  149. [157]

    Coulomb corrections to Fermi beta decay in nuclei.Nuclear Physics A2022, 1027, 122521

    Auerbach, N.; Bui, M.L. Coulomb corrections to Fermi beta decay in nuclei.Nuclear Physics A2022, 1027, 122521. https://doi.org/https://doi.org/10.1016/j.nuclphysa.2022.122521

    2022

  150. [158]

    The CKM unitarity problem: A trace of new physics at the TeV scale? The European Physical Journal C2020,80, 149

    Belfatto, B.; Beradze, R.; Berezhiani, Z. The CKM unitarity problem: A trace of new physics at the TeV scale? The European Physical Journal C2020,80, 149

  151. [159]

    Scrutinizing CKM unitarity with a new mea- surement of the Kµ3/Kµ2 branching fraction.Physics Letters B2023,838, 137748

    Cirigliano, V .; Crivellin, A.; Hoferichter, M.; Moulson, M. Scrutinizing CKM unitarity with a new mea- surement of the Kµ3/Kµ2 branching fraction.Physics Letters B2023,838, 137748. https://doi.org/https: //doi.org/10.1016/j.physletb.2023.137748. 35 of 36

    2023

  152. [160]

    Dispersive formalism for the nuclear structure correction δNS to the β decay rate

    Seng, C.Y.; Gorchtein, M. Dispersive formalism for the nuclear structure correction δNS to the β decay rate. Physical Review C2023,107, 035503. https://doi.org/10.1103/PhysRevC.107.035503

    doi

  153. [161]

    A New Era of Discovery: The 2023 Long Range Plan for Nuclear Science

    of Energy (USDOE), U.D. A New Era of Discovery: The 2023 Long Range Plan for Nuclear Science. Technical report, US Department of Energy (USDOE), Washington, DC (United States). Office of Science, 2023. https://doi.org/10.2172/2280968

    2023 doi

  154. [162]

    Quantum Monte Carlo calculation of δNS in 10C using an effective field theory approach.Phys

    King, G.B.; Carlson, J.; Flores, A.R.; Gandolfi, S.; Mereghetti, E.; Pastore, S.; Piarulli, M.; Wiringa, R.B. Quantum Monte Carlo calculation of δNS in 10C using an effective field theory approach.Phys. Rev. C2026, 114, 015501, [arXiv:nucl-th/2509.07310]. https://doi.org/10.11...

    arXiv

  155. [163]

    Radiative Corrections to Superallowed β Decays in Effective Field Theory.Phys

    Cirigliano, V .; Dekens, W.; de Vries, J.; Gandolfi, S.; Hoferichter, M.; Mereghetti, E. Radiative Corrections to Superallowed β Decays in Effective Field Theory.Phys. Rev. Lett.2024,133, 211801, [arXiv:hep- ph/2405.18469]. https://doi.org/10.1103/PhysRevLett.133.211801

    2024 arXiv

  156. [164]

    Ab initio electroweak corrections to superallowed β decays and their impact on Vud.Phys

    Cirigliano, V .; Dekens, W.; de Vries, J.; Gandolfi, S.; Hoferichter, M.; Mereghetti, E. Ab initio electroweak corrections to superallowed β decays and their impact on Vud.Phys. Rev. C2024,110, 055502, [arXiv:nucl- th/2405.18464]. https://doi.org/10.1103/PhysRevC.110.055502

    arXiv

  157. [165]

    Vertex corrections and wavefunction renormalization for atoms, nuclei, and other heavy composite particles.Phys

    Plestid, R.; Wise, M.B. Vertex corrections and wavefunction renormalization for atoms, nuclei, and other heavy composite particles.Phys. Rev. D2026,113, 096011, [arXiv:hep-ph/2508.05540]. https://doi.org/10.1 103/56wg-gjk1

  158. [166]

    Manifest Gauge Invariance for Structure Dependent Radiative Corrections to Processes Involving Atoms and Nuclei.arXiv2025, [arXiv:nucl-th/2505.05449]

    Plestid, R.; Wise, M.B. Manifest Gauge Invariance for Structure Dependent Radiative Corrections to Processes Involving Atoms and Nuclei.arXiv2025, [arXiv:nucl-th/2505.05449]

    arXiv

  159. [167]

    Toward ab-initio nuclear theory calculations of δC.Phys

    Seng, C.Y.; Gorchtein, M. Toward ab-initio nuclear theory calculations of δC.Phys. Rev. C2024,109, 044302, [arXiv:nucl-th/2304.03800]. https://doi.org/10.1103/PhysRevC.109.044302

    arXiv

  160. [168]

    Quantum Monte Carlo calculation of δC in the superallowed beta decay of 10C.arXiv2026, [arXiv:nucl-th/2605.14006]

    Piarulli, M.; Wiringa, R.B.; Lovato, A.; King, G.B.; Pastore, S. Quantum Monte Carlo calculation of δC in the superallowed beta decay of 10C.arXiv2026, [arXiv:nucl-th/2605.14006]

    arXiv

  161. [169]

    Donoghue, J.F.; Golowich, E.; Holstein, B.R.Dynamics of the Standard Model, 2 ed.; Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology, Cambridge University Press, 2014

    2014

  162. [170]

    Neutrino inclusive inelastic scattering off nuclei.Phys

    Kulagin, S.A.; Petti, R. Neutrino inclusive inelastic scattering off nuclei.Phys. Rev. D2007,76, 094023. https://doi.org/10.1103/PhysRevD.76.094023

    doi

  163. [171]

    Leading twist nuclear shadowing phenomena in hard processes with nuclei.Physics Reports2012,512, 255–393

    Frankfurt, L.; Guzey, V .; Strikman, M. Leading twist nuclear shadowing phenomena in hard processes with nuclei.Physics Reports2012,512, 255–393. Leading twist nuclear shadowing phenomena in hard processes with nuclei, https://doi.org/https://doi.org/10.1016/j.physrep.2011.12.002

    2011 doi

  164. [172]

    Nuclear shadowing in electro-weak interactions.Progress in Particle and Nuclear Physics2013,68, 314–372

    Kopeliovich, B.Z.; Morfín, J.G.; Schmidt, I. Nuclear shadowing in electro-weak interactions.Progress in Particle and Nuclear Physics2013,68, 314–372. https://doi.org/https://doi.org/10.1016/j.ppnp.2012.09.004

    2012 doi

  165. [173]

    Nuclear shadowing.Journal of Physics G: Nuclear and Particle Physics2006,32, R367

    Armesto, N. Nuclear shadowing.Journal of Physics G: Nuclear and Particle Physics2006,32, R367. https: //doi.org/10.1088/0954-3899/32/11/R01

    doi

  166. [174]

    Effective field theories for QED bound states: Extending nonrelativistic QED to study retardation effects.Phys

    Labelle, P . Effective field theories for QED bound states: Extending nonrelativistic QED to study retardation effects.Phys. Rev. D1998,58, 093013. https://doi.org/10.1103/PhysRevD.58.093013

    doi

  167. [175]

    Potential NRQED: The positronium case.Phys

    Pineda, A.; Soto, J. Potential NRQED: The positronium case.Phys. Rev. D1998,59, 016005. https: //doi.org/10.1103/PhysRevD.59.016005

    doi

  168. [176]

    Derivation of the Lamb shift using an effective field theory.Canadian Journal of Physics1999,77, 267–278, [https://doi.org/10.1139/p98-056]

    Labelle, P .; Zebarjad, S.M. Derivation of the Lamb shift using an effective field theory.Canadian Journal of Physics1999,77, 267–278, [https://doi.org/10.1139/p98-056]. https://doi.org/10.1139/p98-056

    doi

  169. [177]

    Logarithms ofα in QED Bound States from the Renormalization Group.Phys

    Manohar, A.V .; Stewart, I.W. Logarithms ofα in QED Bound States from the Renormalization Group.Phys. Rev. Lett.2000,85, 2248–2251. https://doi.org/10.1103/PhysRevLett.85.2248

    2000 doi

  170. [178]

    Direct Measurement of the 7BeL/K Capture Ratio in Ta-Based Superconducting Tunnel Junctions.Physical Review Letters2020,125, 032701

    Fretwell, S.; Leach, K.G.; Bray, C.; Kim, G.B.; Dilling, J.; Lennarz, A.; Mougeot, X.; Ponce, F.; Ruiz, C.; Stackhouse, J.; et al. Direct Measurement of the 7BeL/K Capture Ratio in Ta-Based Superconducting Tunnel Junctions.Physical Review Letters2020,125, 032701. https://doi.o...

    doi

  171. [179]

    The BeEST Experiment: Searching for Beyond Standard Model Neutrinos Using 7Be Decay in STJs.J

    Leach, K.G.; Friedrich, S. The BeEST Experiment: Searching for Beyond Standard Model Neutrinos Using 7Be Decay in STJs.J. Low Temp. Phys.2022,209, 796–803, [arXiv:nucl-ex/2112.02029]. https://doi.org/10.1 007/s10909-022-02759-z

    2022 arXiv

  172. [180]

    Searches for Massive Neutrinos with Mechanical Quantum Sensors

    Carney, D.; Leach, K.G.; Moore, D.C. Searches for Massive Neutrinos with Mechanical Quantum Sensors. PRX Quantum2023,4, 010315, [arXiv:hep-ex/2207.05883]. https://doi.org/10.1103/PRXQuantum.4.010315

    arXiv

  173. [181]

    Tensor Interaction Limit Derived From the α−β− ν Correlation in Trapped 8Li Ions

    Li, G.; Segel, R.; Scielzo, N.D.; Bertone, P .F.; Buchinger, F.; Caldwell, S.; Chaudhuri, A.; Clark, J.A.; Crawford, J.E.; Deibel, C.M.; et al. Tensor Interaction Limit Derived From the α−β− ν Correlation in Trapped 8Li Ions. Physical Review Letters2013,110, 092502. https://do...

    doi

  174. [182]

    Impact of Clustering on the 8Liβ Decay and Recoil Form Factors.Physical Review Letters2022,128, 202503

    Sargsyan, G.H.; Launey, K.D.; Burkey, M.T.; Gallant, A.T.; Scielzo, N.D.; Savard, G.; Mercenne, A.; Dytrych, T.; Langr, D.; Varriano, L.; et al. Impact of Clustering on the 8Liβ Decay and Recoil Form Factors.Physical Review Letters2022,128, 202503. https://doi.org/10.1103/Phys...

    doi

  175. [183]

    Diffusion of muonic hydrogen in hydrogen gas and the measurement of the 1s hyperfine splitting of muonic hydrogen.SciPost Phys

    Nuber, J.; et al. Diffusion of muonic hydrogen in hydrogen gas and the measurement of the 1s hyperfine splitting of muonic hydrogen.SciPost Phys. Core2023,6, 057, [arXiv:physics.atom-ph/2211.08297]. https: //doi.org/10.21468/SciPostPhysCore.6.3.057

    arXiv

  176. [184]

    Nuclear corrections to hyperfine structure in light hydrogenic atoms.Phys

    Friar, J.L.; Payne, G.L. Nuclear corrections to hyperfine structure in light hydrogenic atoms.Phys. Rev. C 2005,72, 014002. https://doi.org/10.1103/PhysRevC.72.014002

    2005 doi

  177. [185]

    Nuclear Structure Effects on Hyperfine Splittings in Ordinary and Muonic Deuterium.Phys

    Ji, C.; Zhang, X.; Platter, L. Nuclear Structure Effects on Hyperfine Splittings in Ordinary and Muonic Deuterium.Phys. Rev. Lett.2024,133, 042502. https://doi.org/10.1103/PhysRevLett.133.042502

    2024 doi

  178. [186]

    Improved nuclear-structure corrections to the hyperfine splitting of electronic and muonic deuterium.Physics Letters B2026,874, 140257

    Bonilla, J.; Richardson, T.R.; Bacca, S.; Ji, C.; Platter, L. Improved nuclear-structure corrections to the hyperfine splitting of electronic and muonic deuterium.Physics Letters B2026,874, 140257. https://doi.org/https: //doi.org/10.1016/j.physletb.2026.140257

    2026

  179. [358]

    https://doi.org/https://doi.org/10.1016/j.cpc.2008.02.018

    2008 doi

  180. [2026]

    [arXiv:nucl-ex/2607.13690]

    arXiv

Pith tools

Reviewed July 30, 2026 · model on record in the stance chip above.