Quark-mass dependence of two-nucleon scattering
Abstract
Understanding how the properties of the visible Universe depend on the parameters of the Standard Model of particle physics requires \emph{ab initio} theoretical computations. To that end, we investigate the quark-mass dependence of low-energy nucleon-nucleon scattering in the deuteron and dineutron channels. We perform lattice-QCD calculations at pion masses Mπ≈ 200 and $280$ MeV and compare their results to phenomenology at the physical point and to a previous calculation at Mπ≈ 710 MeV. Scattering amplitudes, phase shifts, and threshold parameters are determined from finite-volume spectra using quantization conditions that explicitly incorporate long-distance effects from one-pion exchange. We analyze the pion-mass dependence of scattering lengths and effective ranges using chiral effective field theory with Weinberg and Kaplan-Savage-Wise power countings. From this, we estimate the pion-mass derivatives of the inverse scattering lengths and binding momentum, at the physical point. Both power countings indicate that the deuteron unbinds near Mπ≈ 220 MeV.
Related
- Two-nucleon scattering amplitudes at light quark masses from lattice QCD
- Generalized parton distributions of the nucleon in the chiral quark soliton model: Sum over all quark states at nonzero skewness and momentum transfer
- Gravitational D-form factors of the nucleon and pion with mixing between two-quark and four-quark states
- Chiral anomaly and nucleon spin decomposition in the chiral quark soliton model
- Generalized parton distributions of the nucleon in the chiral quark soliton model II: Chiral anomaly mediation in the polarized GPDs
BibTeX
@misc{baezaballesteros2026quarkmass,
title = {{Quark-mass dependence of two-nucleon scattering}},
author = {Jorge Baeza-Ballesteros and André Baião-Raposo and Davide Laudicina and Malcolm Lazarow and Thomas R. Richardson and Miguel Salg and John Bulava and Jeremy R. Green and Andrew Hanlon and Renwick J. Hudspith and Daniel Mohler and Colin Morningstar and Amy Nicholson and Fernando Romero-López and André Walker-Loud and Hartmut Wittig},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07864},
eprint = {2611.07864},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07864},
}
RIS
TY - UNPB
TI - Quark-mass dependence of two-nucleon scattering
AU - Jorge Baeza-Ballesteros
AU - André Baião-Raposo
AU - Davide Laudicina
AU - Malcolm Lazarow
AU - Thomas R. Richardson
AU - Miguel Salg
AU - John Bulava
AU - Jeremy R. Green
AU - Andrew Hanlon
AU - Renwick J. Hudspith
AU - Daniel Mohler
AU - Colin Morningstar
AU - Amy Nicholson
AU - Fernando Romero-López
AU - André Walker-Loud
AU - Hartmut Wittig
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07864
UR - https://arxiv.org/abs/2611.07864
AB - Understanding how the properties of the visible Universe depend on the parameters of the Standard Model of particle physics requires \emph{ab initio} theoretical computations. To that end, we investigate the quark-mass dependence of low-energy nucleon-nucleon scattering in the deuteron and dineutron channels. We perform lattice-QCD calculations at pion masses M_π≈ 200 and $280$ MeV and compare their results to phenomenology at the physical point and to a previous calculation at M_π≈ 710 MeV. Scattering amplitudes, phase shifts, and threshold parameters are determined from finite-volume spectra using quantization conditions that explicitly incorporate long-distance effects from one-pion exchange. We analyze the pion-mass dependence of scattering lengths and effective ranges using chiral effective field theory with Weinberg and Kaplan-Savage-Wise power countings. From this, we estimate the pion-mass derivatives of the inverse scattering lengths and binding momentum, at the physical point. Both power countings indicate that the deuteron unbinds near M_π≈ 220 MeV.
ER -