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arXiv · 2610.23332

Two-nucleon scattering amplitudes at light quark masses from lattice QCD

Jorge Baeza-Ballesteros·André Baião-Raposo·Davide Laudicina·Malcolm Lazarow·Miguel Salg·John Bulava·Jeremy R. Green·Andrew Hanlon·Renwick J. Hudspith·Daniel Mohler·Colin Morningstar·Amy Nicholson·Fernando Romero-López·Thomas R. Richardson·André Walker-Loud·Hartmut Wittig·for the Baryon Scattering·Collaboration
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Abstract

We present a lattice-QCD determination of nucleon-nucleon scattering amplitudes at pion masses of $M_π\approx 200$ MeV and $M_π\approx 280$ MeV at a single lattice spacing $a \approx 0.064$ 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 $M_π\approx 710$ 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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Jorge Baeza-Ballesteros, André Baião-Raposo, Davide Laudicina, Malcolm Lazarow, Miguel Salg, John Bulava, Jeremy R. Green, Andrew Hanlon, Renwick J. Hudspith, Daniel Mohler, Colin Morningstar, Amy Nicholson, Fernando Romero-López, Thomas R. Richardson, André Walker-Loud, Hartmut Wittig, for the Baryon Scattering, Collaboration. 2026-10-16. Two-nucleon scattering amplitudes at light quark masses from lattice QCD. https://arxiv.org/abs/2610.23332

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