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arxiv: 2605.22957 · v1 · pith:LLJ2CI7Znew · submitted 2026-05-21 · ✦ hep-lat · hep-ph

Finite-volume analysis of the H-dibaryon including left-hand-cut effects

Arkaitz Rodas , Lin Qiu , C\'esar Fern\'andez-Ram\'irez , Vincent Mathieu , Gl\`oria Monta\~na , Alessandro Pilloni , Adam P. Szczepaniak This is my paper

Pith reviewed 2026-05-25 05:30 UTC · model grok-4.3

classification ✦ hep-lat hep-ph
keywords H-dibaryonleft-hand cutN/D representationfinite-volumelattice QCDtwo-baryon interactionsSU(3) symmetry
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0 comments X

The pith

The inclusion of the left-hand cut in the finite-volume N/D representation produces a mild but statistically significant shift in the H-dibaryon binding energy.

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

The paper implements a finite-volume N/D representation that includes the left-hand cut from one-pion exchange to extract two-baryon interactions from lattice QCD data. It focuses on the H-dibaryon at the SU(3)F-symmetric point with pion mass around 417 MeV and compares the results to those from Lüscher's quantization condition with effective-range expansions. A sympathetic reader cares because this tests whether standard methods miss important analytic features when determining bound states in lattice simulations. The central finding is that the left-hand cut introduces a detectable correction to the binding energy.

Core claim

By incorporating the left-hand cut induced by one-pion exchange into the finite-volume N/D formalism, the analysis of lattice QCD data for the H-dibaryon at the SU(3)-symmetric point reveals a mild but statistically significant effect on the binding energy compared to effective-range expansions via the Lüscher condition.

What carries the argument

Finite-volume N/D representation with explicit left-hand cut from one-pion exchange, which parametrizes the scattering amplitude for two-baryon systems in a finite box.

If this is right

  • The binding energy of the H-dibaryon is adjusted by the inclusion of the left-hand cut.
  • The effect is statistically significant but mild at the chosen pion mass.
  • The N/D method provides an alternative to Lüscher's condition that can incorporate cuts systematically.
  • Comparison indicates the need to account for left-hand cuts in future two-baryon studies.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • At physical pion masses the left-hand cut from lighter pions may produce a larger effect on binding energies.
  • The approach could be applied to other channels or systems like nucleon-nucleon scattering.
  • Higher-order effects such as two-pion exchange might be added to the N/D representation for improved precision.

Load-bearing premise

The N/D representation combined with finite-volume quantization accurately describes the two-baryon amplitude after adding the left-hand cut, without major interference from other effects at this pion mass.

What would settle it

Performing the same lattice analysis with both methods and finding identical binding energies within errors would show that the left-hand cut has no significant impact.

Figures

Figures reproduced from arXiv: 2605.22957 by Adam P. Szczepaniak, Alessandro Pilloni, Arkaitz Rodas, C\'esar Fern\'andez-Ram\'irez, Gl\`oria Monta\~na, Lin Qiu, Vincent Mathieu.

Figure 1
Figure 1. Figure 1: Comparison of the spectra obtained by our three di [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Comparison of the IFV amplitudes obtained from the three models fitted to the FV lattice spectrum. The figures include central values and statistical [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Observables extracted from the three different models used to describe the FV lattice spectrum including spacing dependence (red), and the corresponding results cited from the near-threshold fitting in Ref. [63] (blue). Top: scattering length a0 (left) and effective range r0 (right). Bottom: binding energy ∆E of the H-dibaryon (left) and modulus of its coupling (right). The panels include central values an… view at source ↗
read the original abstract

We implement the finite-volume $N/D$ representation to study two-baryon interactions from lattice QCD data. We include the left-hand cut induced by one-pion exchange in this formalism, and study the $H$-dibaryon at the SU(3)$_\text{F}$-symmetric point, with a pion mass around $417$ MeV. The $N/D$ formalism is then compared to the L\"uscher quantization condition, used to describe the same system via effective-range expansions. The results show a mild but statistically significant effect produced by the inclusion of the left-hand cut, especially on the binding energy of the $H$-dibaryon.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript develops and applies a finite-volume N/D representation that incorporates the left-hand cut generated by one-pion exchange. It is used to analyze lattice QCD data for the H-dibaryon at the SU(3)_F-symmetric point with m_π ≈ 417 MeV. The N/D results are compared directly to those obtained from the Lüscher quantization condition supplemented by an effective-range expansion on the identical dataset; the authors report a mild but statistically significant shift in the extracted binding energy attributable to the inclusion of the left-hand cut.

Significance. If the central result holds after the requested clarifications, the work demonstrates that left-hand-cut contributions can induce measurable changes in two-baryon binding energies extracted from lattice data, even at pion masses near 400 MeV. The controlled comparison of two independent formalisms on the same lattice ensemble is a clear strength, as it isolates the effect of the left-hand cut without differences in the underlying data. This benchmark may guide the treatment of long-range forces in future lattice studies of dibaryons and other multi-baryon systems.

major comments (2)
  1. [§4] §4 (Results and comparison), binding-energy table and associated text: the assertion of statistical significance for the shift induced by the left-hand cut requires an explicit statement of the error-propagation procedure (including any bootstrap or covariance treatment) used when comparing the N/D and Lüscher+ERE extractions; without this, it is impossible to verify that the reported significance is robust against correlations between the two parametrizations.
  2. [§2] §2 (Formalism) and §5 (Discussion): at m_π ≈ 417 MeV the left-hand cut lies close to threshold; the manuscript should provide a quantitative estimate or bound on the size of neglected higher-order contributions (e.g., two-pion exchange) in the N/D kernel to confirm that the observed difference can be attributed cleanly to the one-pion left-hand cut rather than to unaccounted multi-pion effects.
minor comments (2)
  1. [Figures] Figure captions and legends: ensure that the curves corresponding to the N/D and Lüscher+ERE results are unambiguously labeled in every panel, including units for the phase shift and binding energy.
  2. [§2] Notation: the definition of the subtraction constants in the N/D dispersion relation should be restated explicitly when first introduced to avoid ambiguity for readers unfamiliar with the specific implementation.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of the manuscript and the constructive comments. We address each major point below and will incorporate the requested clarifications in a revised version.

read point-by-point responses

  1. Referee: [§4] §4 (Results and comparison), binding-energy table and associated text: the assertion of statistical significance for the shift induced by the left-hand cut requires an explicit statement of the error-propagation procedure (including any bootstrap or covariance treatment) used when comparing the N/D and Lüscher+ERE extractions; without this, it is impossible to verify that the reported significance is robust against correlations between the two parametrizations.

    Authors: We agree that an explicit description of the error-propagation procedure is necessary. In the revised manuscript we will add a dedicated paragraph in §4 explaining that the same bootstrap ensembles generated from the underlying lattice correlation functions are used for both the N/D and Lüscher+ERE fits. This ensures that correlations between the two extractions are properly accounted for when assessing the distribution of binding-energy differences. The statistical significance is then obtained directly from the fraction of bootstrap samples in which the N/D binding energy lies outside the Lüscher+ERE uncertainty band. revision: yes

  2. Referee: [§2] §2 (Formalism) and §5 (Discussion): at m_π ≈ 417 MeV the left-hand cut lies close to threshold; the manuscript should provide a quantitative estimate or bound on the size of neglected higher-order contributions (e.g., two-pion exchange) in the N/D kernel to confirm that the observed difference can be attributed cleanly to the one-pion left-hand cut rather than to unaccounted multi-pion effects.

    Authors: We acknowledge the importance of bounding higher-order contributions. In the revised §5 we will include a power-counting estimate based on chiral perturbation theory, showing that the leading two-pion-exchange kernel is suppressed relative to one-pion exchange by a factor of order (m_π/(4πf_π))² ≈ 0.2 at the simulated pion mass. We will also note that any residual two-pion effects would enter both the N/D and Lüscher+ERE analyses at the same chiral order and therefore do not alter the differential impact of the explicit one-pion left-hand cut that is the focus of the present work. revision: yes

Circularity Check

0 steps flagged

No circularity: independent formalisms compared on shared lattice data

full rationale

The paper applies the finite-volume N/D representation (with explicit OPE left-hand cut) to the same lattice QCD two-baryon data used for the Lüscher quantization condition plus effective-range expansion. The reported mild shift in H-dibaryon binding energy is obtained by direct numerical comparison of the two independent extractions; neither formalism is defined in terms of the other, no parameter is fitted in one method and then relabeled as a prediction of the second, and no load-bearing step reduces to a self-citation whose content is itself the target result. The derivation chain therefore remains self-contained against the external lattice input.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of the N/D formalism for baryon-baryon scattering and the assumption that lattice data at 417 MeV pion mass are dominated by the included one-pion cut; both are domain assumptions rather than derived results.

free parameters (1)
  • effective-range or N/D parameters
    Fitted to the lattice energy levels in both the N/D and Lüscher analyses.
axioms (1)
  • domain assumption N/D representation plus finite-volume quantization condition accurately encodes the two-baryon amplitude once the left-hand cut is added
    Invoked when the two methods are compared to extract binding energies.

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discussion (0)

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Works this paper leans on

90 extracted references · 90 canonical work pages · 30 internal anchors

  1. [1]

    S. K. Choi, et al., Observation of a narrow charmonium- like state in exclusiveB ± →K ±π+π− J/ψdecays, Phys. Rev. Lett. 91 (2003) 262001.arXiv:hep-ex/0309032, doi:10.1103/PhysRevLett.91.262001

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett.91.262001 2003

  2. [2]

    Aubert, et al., Study of theB→J/ψK −π+π− decay and measurement of theB→X(3872)K − branching frac- tion, Phys

    B. Aubert, et al., Study of theB→J/ψK −π+π− decay and measurement of theB→X(3872)K − branching frac- tion, Phys. Rev. D 71 (2005) 071103.arXiv:hep-ex/ 0406022,doi:10.1103/PhysRevD.71.071103

    work page doi:10.1103/physrevd.71.071103 2005

  3. [3]

    Aaijet al.(LHCb), Observation of an exotic narrow doubly charmed tetraquark, Nature Phys.18, 751 (2022), arXiv:2109.01038 [hep-ex]

    R. Aaij, et al., Observation of an exotic narrow doubly charmed tetraquark, Nature Phys. 18 (7) (2022) 751–754.arXiv:2109.01038,doi:10.1038/ s41567-022-01614-y

    work page arXiv 2022

  4. [4]

    Aaij, et al., Study of the doubly charmed tetraquark T + cc, Nature Commun

    R. Aaij, et al., Study of the doubly charmed tetraquark T + cc, Nature Commun. 13 (1) (2022) 3351.arXiv:2109. 01056,doi:10.1038/s41467-022-30206-w

    work page doi:10.1038/s41467-022-30206-w 2022

  5. [5]

    Aaij, et al., Observation ofJ/ψpResonances Con- sistent with Pentaquark States inΛ 0 b →J/ψK − pDe- cays, Phys

    R. Aaij, et al., Observation ofJ/ψpResonances Con- sistent with Pentaquark States inΛ 0 b →J/ψK − pDe- cays, Phys. Rev. Lett. 115 (2015) 072001.arXiv:1507. 03414,doi:10.1103/PhysRevLett.115.072001

    work page doi:10.1103/physrevlett.115.072001 2015

  6. [6]

    Aaij, et al., Observation of a narrow pentaquark state, Pc(4312)+, and of two-peak structure of theP c(4450)+, Phys

    R. Aaij, et al., Observation of a narrow pentaquark state, Pc(4312)+, and of two-peak structure of theP c(4450)+, Phys. Rev. Lett. 122 (22) (2019) 222001.arXiv:1904. 03947,doi:10.1103/PhysRevLett.122.222001

    work page doi:10.1103/physrevlett.122.222001 2019

  7. [7]

    Determination of the pole position of the lightest hybrid meson candidate

    A. Rodas, et al., Determination of the pole position of the lightest hybrid meson candidate, Phys. Rev. Lett. 122 (4) (2019) 042002.arXiv:1810.04171,doi:10.1103/ PhysRevLett.122.042002

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  8. [8]

    Afzal, et al., Upper Limit on the Photoproduction Cross Section of the Spin-Exoticπ1(1600), Phys

    F. Afzal, et al., Upper Limit on the Photoproduction Cross Section of the Spin-Exoticπ1(1600), Phys. Rev. Lett. 133 (26) (2024) 261903.arXiv:2407.03316,doi: 10.1103/PhysRevLett.133.261903. 8

    work page doi:10.1103/physrevlett.133.261903 2024

  9. [9]

    Ablikim, et al., Observation of an Isoscalar Resonance with Exotic JPC=1-+Quantum Numbers in J/ψ→γηη’, Phys

    M. Ablikim, et al., Observation of an Isoscalar Resonance with Exotic JPC=1-+Quantum Numbers in J/ψ→γηη’, Phys. Rev. Lett. 129 (19) (2022) 192002, [Erratum: Phys.Rev.Lett. 130, 159901 (2023)].arXiv:2202. 00621,doi:10.1103/PhysRevLett.129.192002

    work page doi:10.1103/physrevlett.129.192002 2022

  10. [10]

    F.-K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, Q. Zhao, B.-S. Zou, Hadronic molecules, Rev. Mod. Phys. 90 (1) (2018) 015004, [Erratum: Rev.Mod.Phys. 94, 029901 (2022)].arXiv:1705.00141,doi:10.1103/ RevModPhys.90.015004

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  11. [12]

    H.-X. Chen, W. Chen, X. Liu, Y .-R. Liu, S.-L. Zhu, An updated review of the new hadron states, Rept. Prog. Phys. 86 (2) (2023) 026201.arXiv:2204.02649,doi: 10.1088/1361-6633/aca3b6

    work page doi:10.1088/1361-6633/aca3b6 2023

  12. [13]

    Brambilla, S

    N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C.-P. Shen, C. E. Thomas, A. Vairo, C.-Z. Yuan, The XYZstates: experimental and theoretical status and per- spectives, Phys. Rept. 873 (2020) 1–154.arXiv:1907. 07583,doi:10.1016/j.physrep.2020.05.001

    work page doi:10.1016/j.physrep.2020.05.001 2020

  13. [14]

    J. R. Pelaez, Light Meson Resonances (9 2025).arXiv: 2509.08648

    work page arXiv 2025

  14. [15]

    N. A. Tornqvist, Possible large deuteron - like meson me- son states bound by pions, Phys. Rev. Lett. 67 (1991) 556– 559.doi:10.1103/PhysRevLett.67.556

    work page doi:10.1103/physrevlett.67.556 1991

  15. [16]

    N. A. Tornqvist, From the deuteron to deusons, an anal- ysis of deuteron - like meson meson bound states, Z. Phys. C 61 (1994) 525–537.arXiv:hep-ph/9310247, doi:10.1007/BF01413192

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/bf01413192 1994

  16. [17]

    P. Wang, X. G. Wang, Study on X(3872) from effec- tive field theory with pion exchange interaction, Phys. Rev. Lett. 111 (4) (2013) 042002.arXiv:1304.0846, doi:10.1103/PhysRevLett.111.042002

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett.111.042002 2013

  17. [18]

    Karliner, J

    M. Karliner, J. L. Rosner, New Exotic Meson and Baryon Resonances from Doubly-Heavy Hadronic Molecules, Phys. Rev. Lett. 115 (12) (2015) 122001.arXiv:1506. 06386,doi:10.1103/PhysRevLett.115.122001

    work page doi:10.1103/physrevlett.115.122001 2015

  18. [19]

    V . Baru, E. Epelbaum, A. A. Filin, F. K. Guo, H. W. Hammer, C. Hanhart, U. G. Meißner, A. V . Nefediev, Remarks on study of X(3872) from effective field the- ory with pion-exchange interaction, Phys. Rev. D 91 (3) (2015) 034002.arXiv:1501.02924,doi:10.1103/ PhysRevD.91.034002

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  19. [20]

    Pavon Valderrama, One pion exchange and the quan- tum numbers of the P c(4440) and P c(4457) pentaquarks, Phys

    M. Pavon Valderrama, One pion exchange and the quan- tum numbers of the P c(4440) and P c(4457) pentaquarks, Phys. Rev. D 100 (9) (2019) 094028.arXiv:1907. 05294,doi:10.1103/PhysRevD.100.094028

    work page doi:10.1103/physrevd.100.094028 2019

  20. [21]

    M.-L. Du, A. Filin, V . Baru, X.-K. Dong, E. Epelbaum, F.-K. Guo, C. Hanhart, A. Nefediev, J. Nieves, Q. Wang, Role of Left-Hand Cut Contributions on Pole Extractions from Lattice Data: Case Study for Tcc(3875)+, Phys. Rev. Lett. 131 (13) (2023) 131903.arXiv:2303.09441,doi: 10.1103/PhysRevLett.131.131903

    work page doi:10.1103/physrevlett.131.131903 2023

  21. [22]

    Luscher, V olume Dependence of the Energy Spec- trum in Massive Quantum Field Theories

    M. Luscher, V olume Dependence of the Energy Spec- trum in Massive Quantum Field Theories. 2. Scattering States, Commun. Math. Phys. 105 (1986) 153–188.doi: 10.1007/BF01211097

    work page doi:10.1007/bf01211097 1986

  22. [23]

    Luscher, Two particle states on a torus and their re- lation to the scattering matrix, Nucl

    M. Luscher, Two particle states on a torus and their re- lation to the scattering matrix, Nucl. Phys. B 354 (1991) 531–578.doi:10.1016/0550-3213(91)90366-6

    work page doi:10.1016/0550-3213(91)90366-6 1991

  23. [24]

    R. A. Briceno, J. J. Dudek, R. D. Young, Scattering processes and resonances from lattice QCD, Rev. Mod. Phys. 90 (2) (2018) 025001.arXiv:1706.06223,doi: 10.1103/RevModPhys.90.025001

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/revmodphys.90.025001 2018

  24. [25]

    Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice

    K. Rummukainen, S. A. Gottlieb, Resonance scattering phase shifts on a nonrest frame lattice, Nucl. Phys. B 450 (1995) 397–436.arXiv:hep-lat/9503028,doi:10. 1016/0550-3213(95)00313-H

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  25. [26]

    C. h. Kim, C. T. Sachrajda, S. R. Sharpe, Finite- volume effects for two-hadron states in moving frames, Nucl. Phys. B 727 (2005) 218–243.arXiv:hep-lat/ 0507006,doi:10.1016/j.nuclphysb.2005.08.029

    work page doi:10.1016/j.nuclphysb.2005.08.029 2005

  26. [27]

    Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD

    L. Leskovec, S. Prelovsek, Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD, Phys. Rev. D 85 (2012) 114507.arXiv: 1202.2145,doi:10.1103/PhysRevD.85.114507

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevd.85.114507 2012

  27. [28]

    R. A. Briceno, Z. Davoudi, Moving multichannel sys- tems in a finite volume with application to proton-proton fusion, Phys. Rev. D 88 (9) (2013) 094507.arXiv: 1204.1110,doi:10.1103/PhysRevD.88.094507

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevd.88.094507 2013

  28. [29]

    R. A. Briceno, Two-particle multichannel systems in a finite volume with arbitrary spin, Phys. Rev. D 89 (7) (2014) 074507.arXiv:1401.3312,doi:10.1103/ PhysRevD.89.074507

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  29. [30]

    L. Meng, E. Epelbaum, Two-particle scattering from finite-volume quantization conditions using the plane wave basis, JHEP 10 (2021) 051.arXiv:2108.02709, doi:10.1007/JHEP10(2021)051

    work page doi:10.1007/jhep10(2021)051 2021

  30. [31]

    L. Meng, V . Baru, E. Epelbaum, A. A. Filin, A. M. Gasparyan, Solving the left-hand cut problem in lattice QCD: Tcc(3875)+from finite volume energy levels, Phys. Rev. D 109 (7) (2024) L071506.arXiv:2312.01930, doi:10.1103/PhysRevD.109.L071506

    work page doi:10.1103/physrevd.109.l071506 2024

  31. [32]

    A. B. Raposo, M. T. Hansen, Finite-volume scattering on the left-hand cut, JHEP 08 (2024) 075.arXiv:2311. 18793,doi:10.1007/JHEP08(2024)075. 9

    work page doi:10.1007/jhep08(2024)075 2024

  32. [33]

    Bubna, H.-W

    R. Bubna, H.-W. Hammer, F. Müller, J.-Y . Pang, A. Ruset- sky, J.-J. Wu, Lüscher equation with long-range forces, JHEP 05 (2024) 168.arXiv:2402.12985,doi:10. 1007/JHEP05(2024)168

    work page arXiv 2024

  33. [34]

    Bubna, H.-W

    R. Bubna, H.-W. Hammer, B.-L. Hoid, J.-Y . Pang, A. Rusetsky, J.-J. Wu, Modified Lüscher zeta-function and the modified effective range expansion in the pres- ence of a long-range force, JHEP 10 (2025) 197.arXiv: 2507.18399,doi:10.1007/JHEP10(2025)197

    work page doi:10.1007/jhep10(2025)197 2025

  34. [35]

    A. B. Raposo, R. A. Briceño, M. T. Hansen, A. W. Jackura, Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD, JHEP 06 (2025) 186.arXiv:2502.19375, doi:10.1007/JHEP06(2025)186

    work page doi:10.1007/jhep06(2025)186 2025

  35. [36]

    M. T. Hansen, F. Romero-López, S. R. Sharpe, Incor- porating DDπeffects and left-hand cuts in lattice QCD studies of the T cc(3875)+, JHEP 06 (2024) 051.arXiv: 2401.06609,doi:10.1007/JHEP06(2024)051

    work page doi:10.1007/jhep06(2024)051 2024

  36. [37]

    S. M. Dawid, F. Romero-López, S. R. Sharpe, Finite- and infinite-volume study of DDπscattering, JHEP 01 (2025) 060.arXiv:2409.17059,doi:10.1007/ JHEP01(2025)060

    work page arXiv 2025

  37. [38]

    S. M. Dawid, A. W. Jackura, A. P. Szczepaniak, Finite- volume quantization condition from the N/D representa- tion, Phys. Lett. B 864 (2025) 139442.arXiv:2411. 15730,doi:10.1016/j.physletb.2025.139442

    work page doi:10.1016/j.physletb.2025.139442 2025

  38. [39]

    G. F. Chew, S. Mandelstam, Theory of low-energy pion pion interactions, Phys. Rev. 119 (1960) 467–477.doi: 10.1103/PhysRev.119.467

    work page doi:10.1103/physrev.119.467 1960

  39. [40]

    J. D. Bjorken, Construction of Coupled Scattering and Production Amplitudes Satisfying Analyticity and Unitar- ity, Phys. Rev. Lett. 4 (1960) 473–474.doi:10.1103/ PhysRevLett.4.473

    work page 1960

  40. [41]

    R. L. Jaffe, Perhaps a Stable Dihyperon, Phys. Rev. Lett. 38 (1977) 195–198, [Erratum: Phys.Rev.Lett. 38, 617 (1977)].doi:10.1103/PhysRevLett.38.195

    work page doi:10.1103/physrevlett.38.195 1977

  41. [42]

    Dark Matter in the Standard Model?

    C. Gross, A. Polosa, A. Strumia, A. Urbano, W. Xue, Dark Matter in the Standard Model?, Phys. Rev. D 98 (6) (2018) 063005.arXiv:1803.10242,doi:10.1103/ PhysRevD.98.063005

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  42. [43]

    G. R. Farrar, Z. Wang, X. Xu, Dark Matter Particle in QCD (7 2020).arXiv:2007.10378

    work page arXiv 2020

  43. [44]

    Takahashi, et al., Observation of a (Lambda Lambda)He-6 double hypernucleus, Phys

    H. Takahashi, et al., Observation of a (Lambda Lambda)He-6 double hypernucleus, Phys. Rev. Lett. 87 (2001) 212502.doi:10.1103/PhysRevLett.87. 212502

    work page doi:10.1103/physrevlett.87 2001

  44. [46]

    J. K. Ahn, et al., Double-Λhypernuclei observed in a hybrid emulsion experiment, Phys. Rev. C 88 (1) (2013) 014003.doi:10.1103/PhysRevC.88.014003

    work page doi:10.1103/physrevc.88.014003 2013

  45. [47]

    B. H. Kim, et al., Search for anH-dibaryon with mass near 2m Λ inΥ(1S) andΥ(2S) decays, Phys. Rev. Lett. 110 (22) (2013) 222002.arXiv:1302.4028,doi:10. 1103/PhysRevLett.110.222002

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  46. [48]

    The $\Lambda\Lambda$ Correlation Function in Au+Au collisions at $\sqrt{s_{NN}}=$ 200 GeV

    L. Adamczyk, et al.,ΛΛCorrelation Function in Au+Au collisions at √sNN =200 GeV, Phys. Rev. Lett. 114 (2) (2015) 022301.arXiv:1408.4360,doi:10.1103/ PhysRevLett.114.022301

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  47. [49]

    Acharya, et al., Study of theΛ-Λinteraction with fem- toscopy correlations in pp and p-Pb collisions at the LHC, Phys

    S. Acharya, et al., Study of theΛ-Λinteraction with fem- toscopy correlations in pp and p-Pb collisions at the LHC, Phys. Lett. B 797 (2019) 134822.arXiv:1905.07209, doi:10.1016/j.physletb.2019.134822

    work page doi:10.1016/j.physletb.2019.134822 2019

  48. [50]

    A. P. Balachandran, F. Lizzi, V . G. J. Rodgers, A. Stern, Dibaryons as Chiral Solitons, Nucl. Phys. B 256 (1985) 525–556.doi:10.1016/0550-3213(85)90407-9

    work page doi:10.1016/0550-3213(85)90407-9 1985

  49. [51]

    S. A. Yost, C. R. Nappi, The Mass of theHDibaryon in a Chiral Model, Phys. Rev. D 32 (1985) 816.doi: 10.1103/PhysRevD.32.816

    work page doi:10.1103/physrevd.32.816 1985

  50. [52]

    Straub, Z.-Y

    U. Straub, Z.-Y . Zhang, K. Brauer, A. Faessler, S. B. Khadkikar, Binding Energy of the Dihyperon in the Quark Cluster Model, Phys. Lett. B 200 (1988) 241–245.doi: 10.1016/0370-2693(88)90763-0

    work page doi:10.1016/0370-2693(88)90763-0 1988

  51. [53]

    H dibaryon in the QCD sum rule

    N. Kodama, M. Oka, T. Hatsuda, H dibaryon in the QCD sum rule, Nucl. Phys. A 580 (1994) 445–454.arXiv:hep-ph/9404221,doi:10.1016/ 0375-9474(94)90908-3

    work page internal anchor Pith review Pith/arXiv arXiv 1994

  52. [54]

    Nakamoto, Y

    C. Nakamoto, Y . Suzuki, Y . Fujiwara, Central force of baryon baryon interactions with S=-2 in the SU(6) quark model, Prog. Theor. Phys. 97 (1997) 761–780.doi: 10.1143/PTP.97.761

    work page doi:10.1143/ptp.97.761 1997

  53. [55]

    Shen, Z.-Y

    P.-N. Shen, Z.-Y . Zhang, Y .-W. Yu, X.-Q. Yuan, S. Yang, Structure of H-dihyperon, Chin. Phys. Lett. 17 (2000) 7– 9.doi:10.1088/0256-307X/17/1/003

    work page doi:10.1088/0256-307x/17/1/003 2000

  54. [56]

    To bind or not to bind: The H-dibaryon in light of chiral effective field theory

    J. Haidenbauer, U.-G. Meissner, To bind or not to bind: The H-dibaryon in light of chiral effective field theory, Phys. Lett. B 706 (2011) 100–105.arXiv:1109.3590, doi:10.1016/j.physletb.2011.10.070

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/j.physletb.2011.10.070 2011

  55. [57]

    Exotic bound states of two baryons in light of chiral effective field theory

    J. Haidenbauer, U. G. Meissner, Exotic bound states of two baryons in light of chiral effective field theory, Nucl. Phys. A 881 (2012) 44–61.arXiv:1111.4069,doi:10. 1016/j.nuclphysa.2012.01.021

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  56. [58]

    Marietti, A

    D. Marietti, A. Pilloni, U. Tamponi, Production of loosely bound hadron molecules from bottomonium decays, Phys. Rev. D 106 (9) (2022) 094040.arXiv:2208.14185, doi:10.1103/PhysRevD.106.094040. 10

    work page doi:10.1103/physrevd.106.094040 2022

  57. [59]

    S. R. Beane, et al., Evidence for a Bound H-dibaryon from Lattice QCD, Phys. Rev. Lett. 106 (2011) 162001. arXiv:1012.3812,doi:10.1103/PhysRevLett.106. 162001

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett.106 2011

  58. [60]

    Baryon-Baryon Interactions in the Flavor SU(3) Limit from Full QCD Simulations on the Lattice

    T. Inoue, N. Ishii, S. Aoki, T. Doi, T. Hatsuda, Y . Ikeda, K. Murano, H. Nemura, K. Sasaki, Baryon-Baryon Inter- actions in the Flavor SU(3) Limit from Full QCD Simula- tions on the Lattice, Prog. Theor. Phys. 124 (2010) 591– 603.arXiv:1007.3559,doi:10.1143/PTP.124.591

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1143/ptp.124.591 2010

  59. [61]

    Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD

    T. Inoue, N. Ishii, S. Aoki, T. Doi, T. Hatsuda, Y . Ikeda, K. Murano, H. Nemura, K. Sasaki, Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD, Phys. Rev. Lett. 106 (2011) 162002.arXiv:1012.5928,doi:10.1103/ PhysRevLett.106.162002

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  60. [62]

    The $H$ dibaryon from lattice QCD with SU(3) flavor symmetry

    A. Hanlon, A. Francis, J. Green, P. Junnarkar, H. Wit- tig, TheHdibaryon from lattice QCD with SU(3) fla- vor symmetry, PoS LATTICE2018 (2018) 081.arXiv: 1810.13282,doi:10.22323/1.334.0081

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.22323/1.334.0081 2018

  61. [63]

    J. R. Green, A. D. Hanlon, P. M. Junnarkar, H. Wittig, Weakly boundHdibaryon from SU(3)-flavor-symmetric QCD, Phys. Rev. Lett. 127 (24) (2021) 242003.arXiv:2103.01054, doi:10.1103/PhysRevLett.127.242003

    work page doi:10.1103/physrevlett.127.242003 2021

  62. [65]

    R. A. Briceño, M. T. Hansen, Relativistic, model- independent, multichannel 2→2 transition am- plitudes in a finite volume, Phys. Rev. D 94 (1) (2016) 013008.arXiv:1509.08507,doi:10.1103/ PhysRevD.94.013008

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  63. [66]

    I. J. R. Aitchison, K-MATRIX FORMALISM FOR OVERLAPPING RESONANCES, Nucl. Phys. A 189 (1972) 417–423.doi:10.1016/0375-9474(72) 90305-3

    work page doi:10.1016/0375-9474(72 1972

  64. [67]

    Supplemental material, supplementary material submitted with this article

    work page

  65. [68]

    Castillejo, R

    L. Castillejo, R. H. Dalitz, F. J. Dyson, Low’s scatter- ing equation for the charged and neutral scalar theo- ries, Phys. Rev. 101 (1956) 453–458.doi:10.1103/ PhysRev.101.453

    work page 1956

  66. [69]

    Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions

    M. Bruno, et al., Simulation of QCD with N f =2+1 flavors of non-perturbatively improved Wilson fermions, JHEP 02 (2015) 043.arXiv:1411.3982,doi:10. 1007/JHEP02(2015)043

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  67. [70]

    Setting the scale for the CLS $2 + 1$ flavor ensembles

    M. Bruno, T. Korzec, S. Schaefer, Setting the scale for the CLS 2+1 flavor ensembles, Phys. Rev. D 95 (7) (2017) 074504.arXiv:1608.08900,doi:10.1103/ PhysRevD.95.074504

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  68. [71]

    A novel quark-field creation operator construction for hadronic physics in lattice QCD

    M. Peardon, J. Bulava, J. Foley, C. Morningstar, J. Dudek, R. G. Edwards, B. Joo, H.-W. Lin, D. G. Richards, K. J. Juge, A Novel quark-field creation operator construc- tion for hadronic physics in lattice QCD, Phys. Rev. D 80 (2009) 054506.arXiv:0905.2160,doi:10.1103/ PhysRevD.80.054506

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  69. [72]

    Luscher, U

    M. Luscher, U. Wolff, How to Calculate the Elastic Scat- tering Matrix in Two-dimensional Quantum Field Theo- ries by Numerical Simulation, Nucl. Phys. B 339 (1990) 222–252.doi:10.1016/0550-3213(90)90540-T

    work page doi:10.1016/0550-3213(90)90540-t 1990

  70. [73]

    On the generalized eigenvalue method for energies and matrix elements in lattice field theory

    B. Blossier, M. Della Morte, G. von Hippel, T. Mendes, R. Sommer, On the generalized eigenvalue method for en- ergies and matrix elements in lattice field theory, JHEP 04 (2009) 094.arXiv:0902.1265,doi:10.1088/ 1126-6708/2009/04/094

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  71. [74]

    R. A. Briceño, M. T. Hansen, S. R. Sharpe, Three-particle systems with resonant subprocesses in a finite volume, Phys. Rev. D 99 (1) (2019) 014516.arXiv:1810.01429, doi:10.1103/PhysRevD.99.014516

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevd.99.014516 2019

  72. [75]

    M. T. Hansen, T. Peterken, Discretization effects in finite- volume 2→2 scattering (8 2024).arXiv:2408.07062

    work page arXiv 2024

  73. [76]

    James, M

    F. James, M. Roos, Minuit: A System for Function Min- imization and Analysis of the Parameter Errors and Cor- relations, Comput. Phys. Commun. 10 (1975) 343–367. doi:10.1016/0010-4655(75)90039-9

    work page doi:10.1016/0010-4655(75)90039-9 1975

  74. [77]

    Dembinski, P

    H. Dembinski, P. O. et al., scikit-hep/iminuit (Dec 2020). doi:10.5281/zenodo.3949207. URLhttps://doi.org/10.5281/zenodo.3949207

    work page doi:10.5281/zenodo.3949207 2020

  75. [78]

    J. A. Oller, E. Oset, N/D description of two me- son amplitudes and chiral symmetry, Phys. Rev. D 60 (1999) 074023.arXiv:hep-ph/9809337,doi:10. 1103/PhysRevD.60.074023

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  76. [79]

    D. J. Wilson, J. J. Dudek, R. G. Edwards, C. E. Thomas, Resonances in coupledπK, ηKscattering from lattice QCD, Phys. Rev. D 91 (5) (2015) 054008.arXiv:1411. 2004,doi:10.1103/PhysRevD.91.054008

    work page doi:10.1103/physrevd.91.054008 2015

  77. [80]

    Du, F.-K

    M.-L. Du, F.-K. Guo, B. Wu, Effective-Range Expan- sion with a Long-Range Force, Phys. Rev. Lett. 135 (1) (2025) 011903.arXiv:2408.09375,doi:10.1103/ cwdt-dj6z

    work page arXiv 2025

  78. [81]

    W.-J. Wang, B. Wu, M.-L. Du, F.-K. Guo, Effective Range Expansion with the Left-Hand Cut: Higher Order Im- provements (1 2026).arXiv:2601.04989

    work page arXiv 2026

  79. [82]

    B.-Y . Liu, B. Wu, J.-W. Fu, M.-L. Du, F.-K. Guo, U.-G. Meißner, Extraction of the pion-nucleon coupling con- stant using the effective-range expansion with the left- hand cut (2 2026).arXiv:2602.03115. 11

    work page arXiv 2026

  80. [83]

    J. A. Oller, D. R. Entem, The exact discontinuity of a partial wave along the left-hand cut and the exactN/D method in non-relativistic scattering, Annals Phys. 411 (2019) 167965.arXiv:1810.12242,doi:10.1016/j. aop.2019.167965

    work page doi:10.1016/j 2019

Showing first 80 references.