Phenomenologicalpn→ppπ−model ofA(p,π−)Breactions

Abstract

A phenomenological $pn\ensuremath{\rightarrow}pp{\ensuremath{\pi}}^{\ensuremath{-}}$ model of $A(p,{\ensuremath{\pi}}^{\ensuremath{-}})B$ reactions is developed that incorporates the spin dependence of the former reaction. The model development follows closely that of the $pp\ensuremath{\rightarrow}d{\ensuremath{\pi}}^{+}$ model for $A(p,{\ensuremath{\pi}}^{+})C$ reactions. Predictions of the analyzing powers and differential cross sections for the $(p,{\ensuremath{\pi}}^{\ensuremath{-}})$ reaction on ${}^{13}$C at 200 MeV are presented and discussed. Calculated differential cross sections describe reasonably well the shape of the experimental data, although the predicted strengths vary considerably. Model predictions of the analyzing powers are in general agreement with the data. Nuclear structure amplitudes are obtained from a no-core multi-$\ensuremath{\hbar}\ensuremath{\omega}$ shell model. Sensitivities of the observables to the nuclear structure details and also the amplitudes of the primary $pn\ensuremath{\rightarrow}pp{\ensuremath{\pi}}^{\ensuremath{-}}$ reaction are investigated.