Low energy scattering phase shifts for meson-baryon systems

TL;DR

This paper uses lattice QCD to compute meson-baryon scattering phase shifts across multiple volumes and pion masses, providing insights into scattering parameters and their extrapolation to physical conditions.

Contribution

It introduces a multi-volume lattice QCD approach to determine scattering lengths and effective ranges at different pion masses, enabling chiral extrapolation to physical points.

Findings

Calculated scattering lengths and effective ranges for meson-baryon systems.

Performed chiral extrapolation of scattering parameters to physical pion mass.

Provided data at multiple volumes and pion masses for improved understanding of meson-baryon interactions.

Abstract

In this work, we calculate meson-baryon scattering phase shifts in four channels using lattice QCD methods. From a set of calculations at four volumes, corresponding to spatial sizes of 2, 2.5, 3, and 4 fm, and a pion mass of m_pi ~ 390 MeV, we determine the scattering lengths and effective ranges for these systems at the corresponding quark masses. We also perform the calculation at a lighter quark mass, m_pi ~ 230 MeV, on the largest volume. Using these determinations, along with those in previous work, we perform a chiral extrapolation of the scattering lengths to the physical point after correcting for the effective range contributions using the multi-volume calculations performed at m_pi ~ 390 MeV.