Analysis of the backbending effect inYb166,Yb168, andYb170within the Hartree-Fock-Bogolyubov cranking method

Abstract
The three ytterbium isotopes, i.e., Yb166 in which the backbending is experimentally observed, Yb168 in which it is not, and Yb170 in which it is observed again, are studied by applying the Hartree-Fock-Bogolyubov cranking method. The model Hamiltonian used contains a deformed Woods-Saxon potential and the pairing force term. In contrast to some other versions of the method, the solutions obtained here are pairing-self-consistent, i.e., both the gap parameter and the Fermi energy are obtained through the iterative procedure. Quadrupole and hexadecapole deformation degrees of freedom are taken into account. The characteristic pattern of yrast lines for the three ytterbium isotopes is reproduced with no adjustments of parameters.