Comparative study of hyperon-nucleon interactions of quark model and chiral effective field theory by low-momentum equivalent interactions and $G$ matrices

TL;DR

This study compares hyperon-nucleon interactions from quark models and chiral effective field theory using low-momentum interactions and G-matrix calculations, finding similar potentials despite different theoretical frameworks.

Contribution

It provides a detailed comparison of two different hyperon-nucleon interaction models through low-momentum equivalent interactions and single-particle potential calculations.

Findings

Similar matrix elements in most channels after renormalization

Comparable $ ext{Λ}$, $ ext{Σ}$, and $ ext{Ξ}$ potentials in nuclear matter

Predictions to be tested against future experimental data

Abstract

Hyperon-nucleons interactions constructed by two frameworks, the Kyoto-Niigata SU$_6$ quark model and the chiral effective field theory, are compared by investigating equivalent interactions in a low-momentum space and in addition by calculating hyperon single-particle potentials in the lowest-order Brueckner theory in symmetric nuclear matter. Two descriptions are shown to give similar matrix elements in most channels after renormalizing high momentum components. Although the range of the $\Lambda N$ interaction is different in two potentials, the $\Lambda$ single-particle potential in nuclear matter is very similar. The $\Sigma$-nucleus and $\Xi$-nucleus potentials are also found to be similar. These predictions are to be confronted with forthcoming experimental data.