Lambda-Nucleon and Sigma-Nucleon potentials from space-time correlation function on the lattice

TL;DR

This study investigates Lambda-Nucleon and Sigma-Nucleon interactions using lattice QCD, implementing an extended baryon block algorithm to analyze scattering phase shifts near physical quark masses.

Contribution

The paper introduces an extended effective baryon block algorithm and applies it to analyze Lambda-Nucleon interactions at near-physical quark masses on a large lattice.

Findings

Scattering phase shifts for Lambda-Nucleon system are obtained.

Implementation of extended baryon block algorithm improves analysis.

Results are consistent with physical expectations.

Abstract

The hyperon-nucleon interaction with the strangeness $S=-1$ region is complicated and difficult to investigate because its flavor sector involves all the irreducible representation except the flavor singlet and has the worst signal-to-noise ratio among the strangeness regions. In order to overcome such difficulties the content of this report is twofold: (i) We present an implementation of extended effective baryon block algorithm. This is a straightforward extension of the original which was reported in LATTICE 2013. (ii) We perform single channel analysis for the $\Lambda N$ system at nearly physical quark masses corresponding to $(m_\pi,m_K)\approx(146,525)$~MeV and large volume $(La)^4=(96a)^4\approx$ (8.1 fm)$^4$. Scattering phase shifts for $\Lambda N$ system are presented.