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

Abstract

We study the production of ${\Xi }^{-}$-hypernuclei, ${}_{{\Xi }^{-}}^{12}$Be and ${}_{{\Xi }^{-}}^{28}$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.

Comments: 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