Shell-model calculations of high-spin isomers in neutron-deficient1g92-shell nuclei

The neutron-deficient $1g_{\frac{9}{2}}$-shell nuclei are studied in the framework of the shell model with the ${(1\mathrm{}{g}_{\frac{9}{2}}, 2p_{\frac{1}{2}})}^{-n}$ configuration. Several "spin-gap" isomers with a half-life of an order of a second are predicted in ${}_{}{}^{95}{}_{}{}^{}\mathrm{Pd}$, ${}_{}{}^{95}{}_{}{}^{}\mathrm{Ag}$, ${}_{}{}^{96}{}_{}{}^{}\mathrm{Cd}$, and ${}_{}{}^{97}{}_{}{}^{}\mathrm{Cd}$. Among them, the $J={\frac{21}{2}}^{+}$ state in ${}_{}{}^{95}{}_{}{}^{}\mathrm{Pd}$ is predicted to be an isomer which corresponds to ${}_{}{}^{95}{}_{}{}^{}\mathrm{Pd}_{}^m{}_{}{}^{}$ recently observed by Nolte and Hick. It is also shown that the high-spin isomers above the proton threshold are rather stable against the proton emission.