Particle Transfer Reactions on Deformed Nuclei

Abstract

In particle transfer reactions, the effects of strong coupling in the initial and final nuclei can be important, but an exact evaluation is exceedingly complicated numerically. The approximate procedure of Iano and Austern is modified in this work so that the only change from the standard distorted-wave Born-approximation (DWBA) expression is a modification of the optical potentials for the bombarding and exiting particles. The procedure is compared with the Iano-Austern theory and equivalent results are obtained for a ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}(d,p){}_{}{}^{25}{}_{}{}^{}\mathrm{Mg}$ test case. Comparison with experiment is made for the ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}(p,d){}_{}{}^{23}{}_{}{}^{}\mathrm{Mg}$ reaction at 27.3 MeV which was measured along with the necessary elastic proton data. A significant improvement in the angular distributions is obtained using the modified DWBA. The method is applied to the ${}_{}{}^{182}{}_{}{}^{}\mathrm{W}(d,p){}_{}{}^{183}{}_{}{}^{}\mathrm{W}$ work of Siemssen and Erskine and increases the predicted cross sections as required by the data.