Production of $\Xi^-$-hypernuclei via the ($K^-,K^+$) reaction in a quark-meson coupling model

TL;DR

This paper models the production of $ ext{Xi}^-$-hypernuclei using a covariant effective Lagrangian approach combined with the quark-meson coupling model, predicting cross sections for specific hypernuclei formation.

Contribution

It introduces a combined covariant effective Lagrangian and quark-meson coupling model to predict hypernuclei production cross sections in ($K^-,K^+$) reactions.

Findings

Peak cross section exceeds 1 μb at 1.0 GeV/c beam momentum.

Predicts formation of simple s-state $ ext{Xi}^-$ particle-hole states.

Provides differential cross sections for specific hypernuclei.

Abstract

We study the production of $\Xi^-$-hypernuclei, $^{12}_{\Xi^{-}}$Be and $^{28}_{\Xi^{-}}$Mg, via the ($K^-,K^+$) reaction within a covariant effective Lagrangian model, employing the bound $\Xi^-$ and proton spinors calculated by the latest quark-meson coupling model. The present treatment yields the $0^\circ$ differential cross sections for the formation of simple s-state $\Xi^-$ particle-hole states peak at a beam momentum around 1.0 GeV/c with a value in excess of 1 $\mu$b.