A theoretical framework of coupled-channels antisymmetrized molecular dynamics that describes the multistrangeness system with mixing between different baryon species is developed and applied to ${}_{\mathrm{\Lambda }}^{12}\mathrm{C}$ and ${}_{\mathrm{\Xi }}^{12}\mathrm{Be}$. By introducing a minor modification to the YN G-matrix interaction derived from the Nijmegen model-D, the low-lying level structure and production cross section of ${}_{\mathrm{\Lambda }}^{12}\mathrm{C}$ are reasonably described. It is found that the low-lying states of ${}_{\mathrm{\Xi }}^{12}\mathrm{Be}$ are dominated by the ${}^{11}\mathrm{B}\otimes {\mathrm{\Xi }}^{-}$ channel and their order strongly depends on $\mathrm{\Xi }N$ effective interactions used in the calculation. The calculated peak position of the production cross section depends on the $\mathrm{\Xi }N$ effective interaction and the magnitude of spin-flip and non-spin-flip cross sections of $K^{-}p\to K^{+}{\mathrm{\Xi }}^{-}$ elemental processes. We suggest that the ${}^{12}\mathrm{C}(K^{-},K^{+}){}_{\mathrm{\Xi }}^{12}\mathrm{Be}$ reaction possibly provides us information about the $\mathrm{\Xi }N$ interaction.

• Received 11 November 2010

DOI:https://doi.org/10.1103/PhysRevC.83.024312