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

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.