Shell-Model Structure ofBi210:Bi209(d,p)at 17 MeV

The reaction ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}\mathrm{}(d,p)\mathrm{}{}_{}{}^{210}{}_{}{}^{}\mathrm{Bi}$ has been studied at 17.0-MeV incident deuteron energy. Reaction protons were detected with an energy resolution of 7-9 keV using an Enge split-pole spectrograph. Accurate excitation energies (±0.2%) were obtained by a direct comparison to the well-known states of ${}_{}{}^{209}{}_{}{}^{}\mathrm{Pb}$ populated in the ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}\mathrm{}(d,p)\mathrm{}$ reaction. The ground-state $Q$-value difference of ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}\mathrm{}(d,p)\mathrm{}$ relative to ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}\mathrm{}(d,p)\mathrm{}$ was found to be +0.662±0.004 MeV. Angular distributions, neutron $l$-transfer assignments, and spectroscopic strengths were obtained for 53 of the 60 proton groups observed up to an excitation energy of 3.3 MeV in the residual nucleus. It is found that agreement between experimental angular distributions and the predictions of the distorted-wave approximation is markedly improved over previous work in the lead region by the use of real optical-model well parameters which closely satisfy the "well-matching" criterion $V_d\mathrm{}\left(r\right)\mathrm{}\approx V_p\mathrm{}\left(r\right)+V_n\mathrm{}\left(r\right)\mathrm{}$. In particular, the extreme oscillations predicted for $l=0\mathrm{}$ neutron transfer with some conventional parameters are damped out in agreement with experiment. The experimental excitation energies and spectroscopic strengths are compared with the predictions of Kuo and Herling as well as with those of Kim and Rasmussen. Good agreement is found for most of the strong transitions studied.