Coupled channels calculation of a pion-Lambda-nucleon quasibound state

TL;DR

This study investigates a pion-Lambda-nucleon quasibound state using advanced coupled channels calculations, revealing its robustness across various interaction models and emphasizing the importance of p-wave pion-hyperon interactions.

Contribution

It extends previous work by solving nonrelativistic Faddeev equations with coupled channels and fitted interactions, providing new insights into the stability of the quasibound state.

Findings

Quasibound state persists across various parametrizations.

Strong sensitivity to p-wave pion-hyperon interaction.

Results support the robustness of the quasibound state.

Abstract

We extend the study of a JP=2+, I=3/2 pion-Lambda-nucleon quasibound state [Phys. Rev. D 78, 014013 (2008)] by solving nonrelativistic Faddeev equations, using 3S1-3D1, Lambda N - Sigma N coupled channels Chiral Quark Model local interactions, and pion-nucleon and coupled pion-Lambda - pion-Sigma separable interactions fitted to the position and decay parameters of the Delta(1232) and Sigma(1385) resonances, respectively. The results exhibit a strong sensitivity to the p-wave pion-hyperon interaction, with a pion-Lambda-nucleon quasibound state persisting over a wide range of acceptable parametrizations.