Calculations for the in-flight production of Σ hypernuclei with the reactions ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$($K^{\mathrm{-}}$,${\pi }^{\mathrm{-}}$${)}_{\Sigma }^{12}$C, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$($K^{\mathrm{-}}$,${\pi }^{+}$${)}_{\Sigma }^{12}$B, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$($K^{\mathrm{-}}$,${\pi }^{+}$${)}_{\Sigma }^{16}$C, and ${}_{}{}^9{}_{}{}^{}\mathrm{Be}$($K^{\mathrm{-}}$,${\pi }^{\mathrm{-}}$${)}_{\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 ΣN interaction of Yamamoto and Bando. This provides information on the strength of the central part of the ΣN interaction and on the ΣN→ΛN conversion strength. However, detailed information on the spin components of the ΣN force will be difficult to obtain.

• Received 2 June 1989

DOI:https://doi.org/10.1103/PhysRevC.40.2173