Sigma-Hypernuclear Production In Flight

Calculations for the in-flight production of \ensuremath{\Sigma} hypernuclei with the reactions $^{12}\mathrm{C}$(${K}^{\mathrm{\ensuremath{-}}}$,${\ensuremath{\pi}}^{\mathrm{\ensuremath{-}}}$${)}_{\ensuremath{\Sigma}}^{12}$C, $^{12}\mathrm{C}$(${K}^{\mathrm{\ensuremath{-}}}$,${\ensuremath{\pi}}^{+}$${)}_{\ensuremath{\Sigma}}^{12}$B, $^{16}\mathrm{O}$(${K}^{\mathrm{\ensuremath{-}}}$,${\ensuremath{\pi}}^{+}$${)}_{\ensuremath{\Sigma}}^{16}$C, and $^{9}\mathrm{Be}$(${K}^{\mathrm{\ensuremath{-}}}$,${\ensuremath{\pi}}^{\mathrm{\ensuremath{-}}}$${)}_{\ensuremath{\Sigma}}^{9}$Be are presented. The framework of the recoil corrected continuum shell model is employed. The calculations can account for the major feature of the data with a modification of the \ensuremath{\Sigma}N interaction of Yamamoto and Bando. This provides information on the strength of the central part of the \ensuremath{\Sigma}N interaction and on the \ensuremath{\Sigma}N\ensuremath{\rightarrow}\ensuremath{\Lambda}N conversion strength. However, detailed information on the spin components of the \ensuremath{\Sigma}N force will be difficult to obtain.