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

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