Deformed92+proton-hole states in odd-AI nuclei

$\Delta J=1\mathrm{}$ bands built on low-lying $\frac{9}{2^{+}}$ states (307 keV in ${}_{}{}^{119}{}_{}{}^{}\mathrm{I}$) have been observed in odd-$A$ ${}_{}{}^{117.127}{}_{}{}^{}\mathrm{I}$ ($Z=53\mathrm{}$) nuclei via (${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, $3n\gamma$) reactions. Calculations of the total potential energy of these nuclear states in terms of a $\mathrm{}\left[404\right]\mathrm{}\frac{9}{9^{+}}$ Nilsson proton hole revealed minima at significant prolate deformations ($\epsilon =0.22\mathrm{}$ for ${}_{}{}^{119}{}_{}{}^{}\mathrm{I}$). The resulting excitation energies and band spacing calculations are in good agreement with experiment. The properties of these deformed $\frac{9}{2^{+}}$ states, which involve a $1g_{\frac{9}{2}}$ proton excited through the $Z=50\mathrm{}$ major shell, are compared with those of the deformed $\frac{9}{2^{+}}$ states previously observed in odd-Sb ($Z=51\mathrm{}$) nuclei.