Intrinsic States in Odd-ARhenium Isotopes

The intrinsic structure of ${\mathrm{Re}}^{183}$, ${\mathrm{Re}}^{185}$, and ${\mathrm{Re}}^{187}$ has been studied using the (${\mathrm{He}}^3,d$) and ($\alpha ,t$) reactions on targets of ${\mathrm{W}}^{182}$, ${\mathrm{W}}^{184}$, and ${\mathrm{W}}^{186}$. Transfer $l$ values have been determined from angular distributions in the (${\mathrm{He}}^3,d$) reaction, and from cross-section ratios in the two different proton stripping reactions. Spectroscopic factors have been obtained by comparison with distorted-wave Born-approximation calculations. The low-lying states are found to be well described by the Nilsson model, except that the ${\frac{1}{2}}^{+}\mathrm{}\left[400\right]\mathrm{}$ and ${\frac{11}{2}}^{-}\mathrm{}\left[505\right]\mathrm{}$ intrinsic states show mixing with vibrational states. The results also indicate strong mixing of the ${\frac{1}{2}}^{+}\mathrm{}\left[400\right]\mathrm{}$ and ${\frac{3}{2}}^{+}\mathrm{}\left[402\right]\mathrm{}$ states with ${\frac{1}{2}}^{+}\mathrm{}\left[660\right]\mathrm{}$ and ${\frac{3}{2}}^{+}\mathrm{}\left[651\right]\mathrm{}$ states arising from the $N=6\mathrm{}{i}_{\frac{13}{2}}$ spherical state.