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

Abstract

We study the production of $Ξ^-$-hypernuclei, $^{12}_{Ξ^{-}}$Be and $^{28}_{Ξ^{-}}$Mg, via the ($K^-,K^+$) reaction within a covariant effective Lagrangian model, employing the bound $Ξ^-$ 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 $Ξ^-$ particle-hole states peak at a beam momentum around 1.0 GeV/c with a value in excess of 1 $μ$b.

Accepted version with miner changes, 4 pages, 2 figures, Presented at the 20th International IUPAP Conference on Few-Body Problems in Physics, 20 - 25 August, 2012, Fukuoka, Japan