Meson-Nucleon Scattering Amplitudes from Lattice QCD

TL;DR

This paper reviews recent progress and challenges in calculating meson-nucleon scattering amplitudes using lattice QCD, highlighting initial benchmark results and future outlooks.

Contribution

It provides a comprehensive review of the current status and future prospects of lattice QCD calculations for meson-nucleon scattering amplitudes.

Findings

Benchmark calculations have been performed.

Significant algorithmic and computational improvements have been achieved.

Challenges remain in correlation function computation and finite-volume effects.

Abstract

Lattice QCD calculations of resonant meson-meson scattering amplitudes have improved significantly due to algorithmic and computational advances. However, progress in meson-nucleon scattering has been slower due to difficulties in computing the necessary correlation functions, the exponential signal-to-noise problem, and the finite-volume treatment of scattering with fermions. Nonetheless, first benchmark calculations have now been performed. The status of lattice QCD calculations of meson-nucleon scattering amplitudes is reviewed together with comments on future prospects.