Isospin dependence of the single-particle potential of theΣhyperon in nuclear matter

Abstract

The isospin dependence of the real part of the single-particle potential of a $\ensuremath{\Sigma}$ hyperon in nuclear matter, ${V}_{\ensuremath{\Sigma}}$ is investigated. The isospin-dependent part ${V}_{1}$ of ${V}_{\ensuremath{\Sigma}}$ is expressed in terms of an effective $\ensuremath{\Sigma}N$ interaction in nuclear matter, which depends on proton and neutron densities. With suitable approximations numerical results for ${V}_{1}$ are obtained for four models of the Nijmegen baryon-baryon interaction. A comparison with recent ${(K}^{\ensuremath{-}},{\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}})$ experiments favors model F as a realistic representation of the $\ensuremath{\Sigma}N$ interaction.