Analysis of the (p,He3) and (d,α) Reactions onBi209

The single-neutron-hole states of ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$ have been studied by means of the ($p,{}_{}{}^3{}_{}{}^{}\mathrm{He}$) and ($d,\alpha$) reactions on ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ at 40 and 20 MeV, respectively. Angular distributions were obtained for five of the six well-known neutron-hole states. The sixth state, the ${\left(1\mathrm{}{h}_{\frac{9}{2}}\right)}^{-1\mathrm{}}$ level at 3.43 MeV, was not adequately separated from a group of unresolved, strongly excited states between 3.5- and 7.5-MeV excitation energy in ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$. The data were compared with microscopic- and cluster-model two-nucleon-transfer calculations in the context of the distorted-wave Born approximation. Good agreement was found with theoretical predictions of the shapes and relative magnitudes of the angular distributions for the ($d,\alpha$) reaction. However, it was necessary to introduce a radial lower cutoff at 8.3 F to reproduce the shape of the ($p,{}_{}{}^3{}_{}{}^{}\mathrm{He}$) angular distributions. The experimental absolute normalization constants were computed and compared with theoretical predictions and with a previous experimental determination. The sensitivity of these normalization constants to various parameters of the theory was investigated.