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Nuclear effective field theory: status and perspectives
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Nuclear effective field theory: status and perspectives
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The nuclear physics landscape has been redesigned as a sequence of effective field theories (EFTs) connected to the Standard Model through symmetries and lattice simulations of Quantum Chromodynamics (QCD). EFTs in this sequence are expansions around different low-energy limits of QCD, each with its own characteristics, scales, and ranges of applicability regarding energy and number of nucleons. We review each of the three main nuclear EFTs -- Chiral, Pionless, Halo/Cluster -- highlighting their similarities, differences, and connections. In doing so, we survey the structural properties and reactions of nuclei that have been derived from the ab initio solution of the few- and many-body problem built upon EFT input.
Forward citations
Cited by 20 Pith papers
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Deuterium-Proton Fusion in an Effective Field Theory Constructed from On-Shell Amplitudes
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Meson-Nucleus Bound States with Neural-Network Quantum States
Neural-network quantum states applied to HAL QCD meson-nucleon potentials predict bound states for phi at A>=2, J/psi at A>=4, and eta_c at A>=6, with binding energies from tens of MeV to sub-MeV scales.
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$\Lambda$ hyperons in core-collapse supernovae: Equilibration and neutrino opacities
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Finite-range EFT for the $E1$ strength distribution of ${}^6$He
Finite-range Halo EFT with separable interactions computes the E1 strength distribution of ⁶He at NLO and rms charge radius 2.00 ± 0.09 fm, both agreeing with data within theory errors.
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Three- and four-boson systems expanded around the unitarity limit: Application to $^4$He
EFT study of ^4He trimers and tetramers around unitarity limit yields binding energies and radii that converge to phenomenological potential results after including finite-range and four-body corrections.
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Quantum Monte Carlo calculation of $\delta_C$ in the superallowed beta decay of $^{10}$C
Ab initio QMC calculations yield δ_C ≈ 0.15–0.25% for ¹⁰C superallowed beta decay, consistent across phenomenological and chiral interactions within 34–65% relative uncertainties.
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Perturbative calculations of nucleon-deuteron elastic scattering in chiral effective field theory
A fixed-kernel perturbation framework computes nucleon-deuteron scattering up to next-to-leading order in chiral EFT, benchmarked against wave-packet continuum discretization.
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Short-distance production of three particles with large scattering length
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Quantum Monte Carlo calculation of $\delta_{\rm NS}$ in $^{10}$C using an effective field theory approach
The first quantum Monte Carlo evaluation of the nuclear-structure-dependent radiative correction in carbon-10 confirms the NCSM dispersion result, with the residual uncertainty set by two undetermined low-energy constants.
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Perturbative calculations of light nuclei up to N$^3$LO in chiral effective field theory
Perturbative N3LO calculations in chiral EFT with RG-guided power counting yield robust predictions for light nuclei energies when calibrated on the tritium binding energy.
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Neutrinoless double-beta decay of the $\Delta^-$ resonance
Chiral EFT derivation of the Δ⁻ → p e⁻ e⁻ amplitude including long-range neutrino loops, short-range counterterms, pion-mass dependence for collinear electrons, and a long-range prediction in the degenerate Δ-nucleon ...
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Auxiliary counterterms and their role in effective field theory
Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.
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Chiral interactions and superfluidity in the calcium isotopic chain
Neutron pairing gaps in calcium isotopes are insensitive to variations in third-order chiral interactions, indicating that nuclear superfluidity requires improved many-body modeling or higher-order terms.
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Nucleon-nucleon scattering up to next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: low phases and the deuteron
The manifestly Lorentz-invariant chiral EFT potential at NLO, treated non-perturbatively, yields a reasonable description of low-energy NN phase shifts and deuteron properties.
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Uncertainty quantification and falsification of Chiral Nuclear Potentials
Chiral nuclear potentials exhibit systematic discrepancies with experimental NN scattering data in regimes where the theory is expected to perform best.
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Coulomb Corrections to Three-Nucleon Moments
Pionless EFT calculations find unexpectedly small O(alpha) Coulomb corrections to three-nucleon magnetic moments and GT matrix elements, yielding a fitted prediction for the proton-proton fusion reduced matrix element...
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Coulomb Effects and Wigner-SU(4) Symmetry in He-3 Charge and Magnetic Properties
Non-perturbative Coulomb corrections in LO pionless EFT give a 0.85(3) MeV He-3/H-3 binding split, 0.043(2) fm charge-radius shift, 0.036(2) fm magnetic-radius shift, and -0.0041(1) μ_N moment shift.
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Investigating the two-pion exchange of the double charm $DD^*$ chiral interactions and $T_{cc}$
In this chiral EFT calculation the I=0 DD* two-pion-exchange potential is repulsive, and its near-cancellation with attractive contact and one-pion terms provides the weak binding of Tcc.
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Scrutiny of the new class of three-nucleon forces
After removing renormalization-scheme-dependent short-distance parts, the scrutinized three-nucleon forces yield small contributions to neutron and symmetric nuclear matter equations of state, aligning with standard c...
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Future directions in nuclear $\beta$ decay at FRIB and beyond
A community white paper summarizing the current state and future directions of nuclear beta-decay studies at FRIB, with no new quantitative result.
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