Abstract

$T=0$ states of ${}^{96}$Cd, ${}^{94}$Ag, and ${}^{92}$Pd are studied by using the nucleon-pair approximation and the JUN45 interaction for the ${p}_{1/2}{p}_{3/2}{f}_{5/2}{g}_{9/2}$ shell. We focus on the approximation of isoscalar spin-aligned pairs in a single-$j$ $1{g}_{9/2}$ shell. Configurations associated with the $2{p}_{1/2}$ and $2{p}_{3/2}$ orbits are investigated in a number of cases. For the yrast ${0}^{+}$ and ${2}^{+}$ states in ${}^{96}$Cd and ${}^{92}$Pd, the contribution from $S$ and $D$ nucleon pairs (i.e., $T=1$ spin-zero and spin-two pairs) is studied. The ``level-inversion'' isomerism in ${}^{96}$Cd and ${}^{94}$Ag is discussed.

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