Description of the even-mass Hg and Pt isotopes by a microscopic collective hamiltonian

Abstract

The collective hamiltonian of the deformed nucleus is microscopically calculated in a large basis of deformed Woods-Saxon single-particle states. The potential energy ( V def) and the inertia parameters for rotation ( J k ) and vibration ( B ββ , B γγ , B βγ ) are obtained as functions of the intrinsic quadrupole deformation (β, γ), using the Strutinsky shell-correction method and the cranking formula, respectively. The five-dimensional collective hamiltonian is solved in a numerical method. The model is employed to calculate the collective states of 196Hg. We give the theoretical results of the potential energy, the inertia parameters, the collective energy spectrum and wave functions, transition strengths for E2, M1, E0 and the spectroscopic quadrupole and magnetic moments. Good agreement with the experiment is obtained in this model without adjustment of any model parameter. We also give the potential energies and spectra for the neighbouring even mass nuclei, 192–200Hg and 190–198Pt.