Two-nucleon scattering amplitudes at light quark masses from lattice QCD
Abstract
We present a lattice-QCD determination of nucleon-nucleon scattering amplitudes at pion masses of Mπ≈ 200 MeV and Mπ≈ 280 MeV at a single lattice spacing a ≈ 0.064 fm on two CLS ensembles. The finite-volume energy spectra are extracted from large Hermitian correlation matrices constructed within the distillation framework using an extensive basis of two-nucleon interpolating operators. To reliably relate the finite-volume spectra to the infinite-volume scattering amplitudes, we employ two recently developed formalisms that explicitly account for the long-range interaction generated by one-pion exchange: the plane-wave quantization condition and the relativistic left-hand-cut formalism. We discuss the quark-mass dependence of the nucleon-nucleon scattering lengths, effective ranges, shape parameters and pole positions. At all pion masses considered, our analysis prefers virtual states in both isospin channels by more than 1σ. Comparing also results from our previous calculation at Mπ≈ 710 MeV, we observe that the inverse scattering lengths and binding momenta approach their physical-point phenomenological values monotonically as the pion mass is varied.
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BibTeX
@misc{baezaballesteros2026twonucleon,
title = {{Two-nucleon scattering amplitudes at light quark masses from lattice QCD}},
author = {Jorge Baeza-Ballesteros and André Baião-Raposo and Davide Laudicina and Malcolm Lazarow 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 Thomas R. Richardson and André Walker-Loud and Hartmut Wittig and for the Baryon Scattering and Collaboration},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23332},
eprint = {2610.23332},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23332},
}
RIS
TY - UNPB
TI - Two-nucleon scattering amplitudes at light quark masses from lattice QCD
AU - Jorge Baeza-Ballesteros
AU - André Baião-Raposo
AU - Davide Laudicina
AU - Malcolm Lazarow
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 - Thomas R. Richardson
AU - André Walker-Loud
AU - Hartmut Wittig
AU - for the Baryon Scattering
AU - Collaboration
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23332
UR - https://arxiv.org/abs/2610.23332
AB - We present a lattice-QCD determination of nucleon-nucleon scattering amplitudes at pion masses of M_π≈ 200 MeV and M_π≈ 280 MeV at a single lattice spacing a ≈ 0.064 fm on two CLS ensembles. The finite-volume energy spectra are extracted from large Hermitian correlation matrices constructed within the distillation framework using an extensive basis of two-nucleon interpolating operators. To reliably relate the finite-volume spectra to the infinite-volume scattering amplitudes, we employ two recently developed formalisms that explicitly account for the long-range interaction generated by one-pion exchange: the plane-wave quantization condition and the relativistic left-hand-cut formalism. We discuss the quark-mass dependence of the nucleon-nucleon scattering lengths, effective ranges, shape parameters and pole positions. At all pion masses considered, our analysis prefers virtual states in both isospin channels by more than 1σ. Comparing also results from our previous calculation at M_π≈ 710 MeV, we observe that the inverse scattering lengths and binding momenta approach their physical-point phenomenological values monotonically as the pion mass is varied.
ER -