Nucleon scattering from lattice QCD

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.

Publication Details

Journal
ArXiv.org
Published
2025-04-02
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
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article

Nucleon scattering from lattice QCD

ArXiv.org
Quantum Chromodynamics and Particle Interactions
article

Nucleon scattering from lattice QCD

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Abstract

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.

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Nucleon scattering from lattice QCD · ArXiv.org (2025) | TGRS Research Map | TGRS