Theoretical predictions of electromagnetic properties of1g92odd-neutron nuclei in the Coriolis coupling model

Abstract

Magnetic dipole and electric quadrupole moments and reduced transition rates of several $1g_{\frac{9}{2}}$ nuclei are calculated using the wave functions generated in a previous paper. The pattern of wave functions is shown to support the application of a fixed parameter Coriolis coupling model to nuclei in this region. By a total inclusion of both diagonal and nondiagonal single-particle contributions, theoretical magnetic moments for ground and first excited states of both parities are brought into exceptional agreement with experiment. In particular, this analysis resolves the essential equality of $\mu \left(\frac{7}{2}\right)$ and $\mu \left(\frac{9}{2}\right)$ in ${}_{}{}^{83}{}_{}{}^{}\mathrm{Kr}$ as opposed to the expected equivalence of their $g$ factors. Quadrupole moments, calculated without resorting to effective charges, are generally well predicted. Theoretical transition rates are calculated in two instances and agree with experiment.