Collective properties of1g92proton-hole excitations: High-spin states inTe116,118,120,122andXe120nuclei

High spin states of ${}_{}{}^{116,118,120,122}{}_{}{}^{}\mathrm{Te}$ and ${}_{}{}^{120}{}_{}{}^{}\mathrm{Xe}$ nuclei have been studied via ($\alpha$,$\mathrm{xn}$) and (${}_{}{}^{12,13}{}_{}{}^{}\mathrm{C}$,$\mathrm{xn}$) reactions, using in-beam $\gamma$-excitation, $\gamma -\gamma$ coincidence, and $\gamma -W\left(\theta \right)$ measurements. A search for collective bands built on 2-proton-hole $0^{+}$ states has revealed $\Delta J=2\mathrm{}$ structures in the even ${}_{}{}^{116-122}{}_{}{}^{}\mathrm{Te}$ nuclei, which possibly relate to the $1g_{\frac{9}{2}}$ proton-hole bands in odd-$I$ nuclei. No evidence for similar structures was found in ${}_{}{}^{120}{}_{}{}^{}\mathrm{Xe}$. The level schemes of these nuclei are presented and the even-Te systematics are discussed within the context of the collective nature of $1g_{\frac{9}{2}}$ proton-hole excitations in the $Z\ge 50$ region.