Nucleon scattering from lattice QCD

Fuente: arXiv
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Autore principale: Morningstar, Colin
Natura: Preprint
Pubblicazione: 2025
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author Morningstar, Colin
author_facet Morningstar, Colin
contents Recent results from lattice QCD on baryon resonances and meson-baryon, baryon-baryon scattering are presented. Such scattering processes and resonances can be determined in lattice QCD by first obtaining the finite-volume energy spectrum of stationary states involving meson-baryon and baryon-baryon systems. A well-known quantization condition involving the scattering $K$-matrix and a complicated ``box matrix'' also yields a finite-volume energy spectrum. By appropriately parametrizing the scattering $K$-matrix, the best fit values of the $K$-matrix parameters are those which produce a finite-volume spectrum which best matches that obtained from lattice QCD. The $Δ$ resonance, a recent study of the two-pole nature of scattering near the $Λ(1405)$, and $NN$ scattering in the $SU(3)$ flavor limit are highlighted.
format Preprint
id arxiv_https___arxiv_org_abs_2504_01950
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nucleon scattering from lattice QCD
Morningstar, Colin
High Energy Physics - Lattice
Recent results from lattice QCD on baryon resonances and meson-baryon, baryon-baryon scattering are presented. Such scattering processes and resonances can be determined in lattice QCD by first obtaining the finite-volume energy spectrum of stationary states involving meson-baryon and baryon-baryon systems. A well-known quantization condition involving the scattering $K$-matrix and a complicated ``box matrix'' also yields a finite-volume energy spectrum. By appropriately parametrizing the scattering $K$-matrix, the best fit values of the $K$-matrix parameters are those which produce a finite-volume spectrum which best matches that obtained from lattice QCD. The $Δ$ resonance, a recent study of the two-pole nature of scattering near the $Λ(1405)$, and $NN$ scattering in the $SU(3)$ flavor limit are highlighted.
title Nucleon scattering from lattice QCD
topic High Energy Physics - Lattice
url https://arxiv.org/abs/2504.01950