Deformation energies of rare-earth nuclei in generator coordinate method

Abstract

The deformations of rare-earth nuclei for the mean field Nilsson hamiltonian with the local approximation of the two-body interaction are estimated. The collective hamiltonian is obtained within the generator coordinate method and the gaussian overlap approximation. The zero-point correction to the collective potential energy is included. The deformation energies of nuclei are up to 1 MeV larger than those for the mean field potential. The multipole moments are in usual agreement to the experimental data.

Structure of the doubly midshell nucleus66170Dy104

“…The existence of shell closures is a cornerstone of our understanding of the atomic nucleus. While much recent research has focussed on the search for exotic ''doubly magic'' nuclei ͓1,2͔ formed by assuming the standard shell model gaps at nucleon numbers 2,8,20,28,50,82, and 126, their even-even ''doubly midshell'' counterparts are arguably even more rare. Above the sd shell, the corresponding doubly midshell, even-even systems which are particle bound are limited to 14 Zr 66 ͓7,8͔ in such a discussion͒.…”

Microscopic study of neutron-rich dysprosium isotopes

“…From the theoretical side, the large valence spaces associated with heavynuclei have implied a slow progress, limiting the number of models capable of dealing with 170 Dy. The earlier studies of this nucleus have used the relativistic mean-field calculations [13], the Strutinsky shell correction [14,15], the generator co-ordinate method [16], and the Monte Carlo shell-model [17]. More recently, P. H. Regan et al [18,19] used the cranked shell-model with nonaxial deformed Woods-Saxon potential, and predicted a highly deformed 170 Dy nucleus with a pure axial symmetric-shape deformation along the Yrast line and a K π = 6 + isomeric state at an approximated energy of 1.2 MeV.…”