Medium effects on ${\Xi }^{-}$ production in the nuclear ($K^{-}$, $K^{+}$) reaction

Abstract

We study theoretically medium effects on ${\Xi }^{-}$ production in the ($K^{-}$, $K^{+}$) reaction, using the optimal Fermi-averaging procedure which describes the Fermi motion of a nucleon on the on-energy-shell $K^{-}p\to K^{+}{\Xi }^{-}$ reaction condition in nuclei. The result shows the strong energy and angular dependence of the in-medium $K^{-}p\to K^{+}{\Xi }^{-}$ cross section,which affects significantly the shape and magnitude of the production spectrum for ${\Xi }^{-}$ hypernuclear states in the ($K^{-}$, $K^{+}$) reaction on a nuclear target.The application to the ${\Xi }^{-}$ quasi-free production via the ($K^{-}$, $K^{+}$) reaction on a ${}^{12}$C target is also discussed in a Fermi gas model.

Comments: 18 pages, 5 figures