The $K^-p\to \Sigma^0\pi^0$ reaction at low energies in a chiral quark model

TL;DR

This paper extends a chiral quark-model to study low-energy $ar{K}N$ scattering, successfully describing cross sections and clarifying the roles of various $ ext{Lambda}$ resonances in the reaction.

Contribution

It introduces an extended chiral quark-model approach to analyze the $K^-p o ext{Sigma}^0 ext{pi}^0$ reaction at low energies, highlighting the significance of specific $ ext{Lambda}$ resonances.

Findings

$ ext{Lambda}(1405)$ dominates the reaction over the energy range.

$ ext{Lambda}(1520)$ causes a resonant peak at $P_K oughly 400$ MeV/c.

Non-resonant background contributions are significant for angular distributions.

Abstract

A chiral quark-model approach is extended to the study of the $\bar{K}N$ scattering at low energies. The process of $K^-p\to \Sigma^0\pi^0$ at $P_K\lesssim 800$ MeV/c (i.e. the center mass energy $W\lesssim 1.7$ GeV) is investigated. This approach is successful in describing the differential cross sections and total cross section with the roles of the low-lying $\Lambda$ resonances in $n=1$ shells clarified. The $\Lambda(1405)S_{01}$ dominates the reactions over the energy region considered here. Around $P_K\simeq 400$ MeV/c, the $\Lambda(1520)D_{03}$ is responsible for a strong resonant peak in the cross section. The $\Lambda(1670)S_{01}$ has obvious contributions around $P_K=750$ MeV/c, while the contribution of $\Lambda(1690)D_{03}$ is less important in this energy region. The non-resonant background contributions, i.e. $u$-channel and $t$-channel, also play important roles in the explanation of the angular distributions due to amplitude interferences.