Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Baeza-Ballesteros, Jorge, Baião-Raposo, André, Laudicina, Davide, Lazarow, Malcolm, Salg, Miguel, Bulava, John, Green, Jeremy R., Hanlon, Andrew, Hudspith, Renwick J., Mohler, Daniel, Morningstar, Colin, Nicholson, Amy, Romero-López, Fernando, Richardson, Thomas R., Walker-Loud, André, Wittig, Hartmut, Scattering, for the Baryon, Collaboration
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: National Science Foundation, U.S. Department of Energy, University of Bern, National Energy Research Scientific Computing Center, Deutsche Forschungsgemeinschaft, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Ruhr-Universität Bochum, Centro Svizzero di Calcolo Scientifico, Gauss Centre for Supercomputing, Office of Science, Deutsches Elektronen-Synchrotron
Awards: G122673668, G1286236842, G1677143136, G1863003419, G2301612669, G2517729222, EXC 2118: Precision Physics, Fundamental Interactions and Structure of Matter (PRISMA+), G3177085294, G3685081974, G419881185, G42916606, G4501827968, G498139845, G5076365615, G5088309984, G5785939682, G6237201456, Network for Neutrinos, Nuclear Astrophysics, and Symmetries, G6652958823, Collaborative Research: Elements: Lattice QCD software for nuclear physics on heterogeneous architectures, Hadronstreuung und hadronische Resonanzen aus der Gitterquantenchromodynamik, CAREER: Grounding Nuclear Physics in the Standard Model for New Physics Searches, Multi-Hadron Interactions using Lattice QCD with the Stochastic LapH Method and QUDA, Collaborative Research: Elements: Lattice QCD software for nuclear physics on heterogeneous architectures, G993971353
OpenAlex ID: W7222979097