Bim210(d,t)reaction;<…

Configuration assignments and spectroscopic factors are deduced from angular distribution data on 22 levels or level groupings in $^{209}\mathrm{Bi}$ using the reaction $^{210}\mathrm{Bi}^{m}(d,t)^{209}\mathrm{Bi}$ at ${E}_{d}=17$ 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 ${|{h}_{\frac{9}{2}}^{\ensuremath{\pi}},{g}_{\frac{9}{2}}^{\ensuremath{\nu}}|}_{{9}^{\ensuremath{-}}}$ 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 (${|{h}_{\frac{9}{2}}^{\ensuremath{\pi}},{g}_{\frac{9}{2}}^{\ensuremath{\nu}}|}_{{9}^{\ensuremath{-}}} \ensuremath{\bigotimes} {p}_{\frac{1}{2}}^{\ensuremath{-}1\ensuremath{\nu}}$) multiplet.NUCLEAR REACTIONS $^{210}\mathrm{Bi}^{m}(d,t)^{209}\mathrm{Bi}$, ${E}_{d}=17$ MeV. ${\ensuremath{\theta}}_{\mathrm{lab}}=12.5\ifmmode^\circ\else\textdegree\fi{}, 20\ifmmode^\circ\else\textdegree\fi{}, 27.5\ifmmode^\circ\else\textdegree\fi{}, 35\ifmmode^\circ\else\textdegree\fi{}, 42.5\ifmmode^\circ\else\textdegree\fi{}, 50\ifmmode^\circ\else\textdegree\fi{}, 57.5\ifmmode^\circ\else\textdegree\fi{}, 72.5\ifmmode^\circ\else\textdegree\fi{}, 87.5\ifmmode^\circ\else\textdegree\fi{}, 100\ifmmode^\circ\else\textdegree\fi{}, 115\ifmmode^\circ\else\textdegree\fi{}$. Measured $\ensuremath{\sigma}(\ensuremath{\theta})$ for ${E}^{*}(^{209}\mathrm{Bi})=2700\ensuremath{-}6000$ keV. Deduced ${l}_{j}^{\ensuremath{-}1\ensuremath{\nu}}$, spectroscopic factors.