Coupled-Channel and Microscopic Analysis of the "Quasi-Elastic" and "Quasi-Inelastic" Ti(He3,H3) Data

Abstract

The (${}_{}{}^3{}_{}{}^{}\mathrm{He}$,${}_{}{}^3{}_{}{}^{}\mathrm{H}$) reaction differential cross sections for all the stable Ti isotopes have been measured at a ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ bombarding energy of 24.6 MeV. Information about the strength and shape of the isobaric-spin-dependent potential is obtained from a comparison of the "quasi-elastic" data, with theoretical angular distributions obtained using a coupled-channel formalism. These calculations are compared with the results of calculations using the less exact distorted-wave Born-approximation (DWBA) formalism. The shape and strength of the effective nucleon-nucleon interaction in nuclear matter is obtained from comparisons of the data with calculations made using a microscopic model. The results are compared with those obtained from an analysis of ($p,n$) data. Finally, an analysis of "quasi-inelastic" transitions to excited isobaric states is made in terms of the collective-model description of inelastic scattering.