Microscopic shell-model description of strongly deformed nuclei: 158Gd

Abstract

A recently proposed microscopic version of the Bohr–Mottelson collective model, defined by the following dynamical symmetry chain [Formula: see text] of the proton–neutron symplectic model (PNSM), is applied to the microscopic shell-model description of the low-lying collective excitations in a typical strongly deformed nucleus, namely, [Formula: see text]Gd. Detailed shell-model results are presented for the ground, [Formula: see text] and [Formula: see text] bands excitation levels, probability distributions and quadrupole collectivity. A good overall description is obtained for the excitation energies of the three bands under consideration in [Formula: see text]Gd without using an adjustable kinetic-energy term, as well as for the ground state intraband [Formula: see text] quadrupole collectivity and the known interband [Formula: see text] transition probabilities between the low-lying collective states without the use of an effective charge.