We perform shell-model calculations for nuclei below ${}^{100}$Sn, focusing attention on the two $N=Z$ nuclei, ${}^{96}$Cd and ${}^{92}$Pd, the latter having recently been the subject of great experimental and theoretical interest. We consider nuclei for which the $0g_{9/2}$ orbit plays a dominant role and employ a realistic low-momentum two-body effective interaction derived from the CD-Bonn nucleon-nucleon potential. This implies that no phenomenological input enters our effective Hamiltonian. The calculated results for ${}^{92}$Pd are in very good agreement with the available experimental data, which gives us confidence in our predictions for ${}^{96}$Cd. An analysis of the wave functions of both ${}^{96}$Cd and ${}^{92}$Pd is performed to investigate the role of the isoscalar spin-aligned coupling.

• Received 25 November 2011

DOI:https://doi.org/10.1103/PhysRevC.85.034335