Pion elastic and inelastic scattering from48,50Ti,Cr52, and54,56Fe at 180 MeV: Determination of neutron and proton multipole matrix elements

Abstract

Differential cross sections were measured for pion elastic and inelastic scattering from ${}_{}{}^{48}{}_{}{}^{}$,50Ti, ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}$, and ${}_{}{}^{54}{}_{}{}^{}$,56Fe at $T_{\pi }$=180 MeV. Elastic scattering data were analyzed using a standard Kisslinger potential. Inelastic scattering data were analyzed using distorted-wave impulse-approximation calculations with collective-model transition densities. Ground-state neutron density parameters and matrix elements for some of the transitions were extracted and ${\pi }^{+}$/${\pi }^{\mathrm{-}}$ differences investigated.