Bim210(d,t)reaction;Bi210(9−) parentage of states inBi209

Configuration assignments and spectroscopic factors are deduced from angular distribution data on 22 levels or level groupings in ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ using the reaction ${}_{}{}^{210}{}_{}{}^{}\mathrm{Bi}_{}^m{}_{}{}^{}\mathrm{}(d,t)\mathrm{}{}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ at $E_d=17\mathrm{}$ MeV. Transitions to levels in ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ between 2.6 and 6.0 MeV are observed and these levels are interpreted in terms of the coupling of the pure ${|h_{\frac{9}{2}}^{\pi },g_{\frac{9}{2}}^{\nu }|}_{9^{-}}$ target state with neutron holes in ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$. The $j$ values of the transferred neutron are determined through comparison of the measured angular distributions and energies with angular distributions and energies for the corresponding single-hole states in ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$. Levels below 5.0 MeV are assigned $p_{\frac{1}{2}}$, $p_{\frac{3}{2}}$, or $f_{\frac{5}{2}}$ neutron hole parentage while the levels above 5.0 MeV all have $f_{\frac{7}{2}}$ neutron hole parentage. The results complement and extend previous inelastic scattering and analog resonance studies on levels below 4.0 MeV excitation in ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$. In particular, the summed spectroscopic strength for the $p_{\frac{1}{2}}$ neutron hole parentage states agrees well with the theoretical sum rule limit and measured single-hole strength in ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$. The microscopic shell model (in contrast to the weak-coupling model) successfully predicts the observed splitting of spectroscopic strength among the members of the (${|h_{\frac{9}{2}}^{\pi },g_{\frac{9}{2}}^{\nu }|}_{9^{-}} \otimes p_{\frac{1}{2}}^{-1\mathrm{}\nu }$) multiplet.