Intermediate coupling approach in the unified nuclear model: (II). Odd-mass molybdenum nuclei

Abstract

The low-energy nuclear properties of the odd-mass molybdenum isotopes are investigated within the framework of the intermediate coupling approach in the unified nuclear model. The calculations are performed by assuming that either a last odd nucleon (particle or hole, having available to it several single-particle states or a system of nucleons (particles or holes), which can undergo excitations is coupled to the quadrupole vibrations of the doubly even core. Diagonalization of the resulting Hamiltonian yields the low-lying spectra as well as the eigenfunctions of the respective excited states. Excellent agreement is obtained with the recent experimental level structure when realistic values are chosen for the coupling strength and for the relative particle configuration state excitation energies. The eigenfunctions obtained are used to calculate the electromagnetic transition rates, which are also in good agreement with available experimental data when the free nucleonic values for the charge and spin gyromagnetic factor are used. However, when the static nuclear moments are calculated, it becomes necessary to introduce the concept of “effective” nucleonic values to fit the experimental data, Finally, the validity of the approximations used in the present analysis and the circumstances in which more extensive experimental investigations are needed are discussed.