Investigation of thePb207(α,d)Bi209Reaction

Abstract

Energy levels and differential cross sections for the ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}(\alpha ,d){}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ reaction have been determined at an incident bombarding energy of 42 MeV. Two-nucleon distorted-wave Born-approximation (DWBA) analysis was performed for the ground and first excited levels of ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ in order to obtain a normalization for the ($\alpha ,d$) and ($d,\alpha$) reactions. The results of calculations using this normalization were compared with data for the 1.097-MeV $7^{+}$ level of ${}_{}{}^{48}{}_{}{}^{}\mathrm{Sc}$ excited in the ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}(d,\alpha ){}_{}{}^{48}{}_{}{}^{}\mathrm{Sc}$ reaction and for the first excited state of ${}_{}{}^{206}{}_{}{}^{}\mathrm{T}1\mathrm{}$ excited in the ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}(d,\alpha ){}_{}{}^{206}{}_{}{}^{}\mathrm{Tl}$ reaction. This latter comparison confirmed an earlier agrument that cross sections to the low-lying ${}_{}{}^{206}{}_{}{}^{}\mathrm{T}1\mathrm{}$ levels are considerably enhanced over pure two-hole configuration estimates. The normalized DWBA was then used to study higher-lying two-particle—one-hole excited states in ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$.