Shape transitions in neutron-rich Yb, Hf, W, Os, and Pt isotopes within a Skyrme Hartree-Fock + BCS approach

TL;DR

This study uses Skyrme Hartree-Fock + BCS calculations to analyze shape evolution and phase transitions in neutron-rich Yb, Hf, W, Os, and Pt isotopes, comparing different nuclear interactions.

Contribution

It provides a comprehensive analysis of shape transitions in these isotopes using self-consistent mean-field methods and compares various nuclear force models.

Findings

Identification of oblate-prolate shape transition signatures.

Comparison of Skyrme, Gogny, and relativistic mean field results.

Insights into the role of the $b3$ degree of freedom in shape evolution.

Abstract

Self-consistent axially symmetric Skyrme Hartree-Fock plus BCS calculations are performed to study the evolution of shapes with the number of nucleons in various chains of Yb, Hf, W, Os, and Pt isotopes from neutron number N=110 up to N=122. Potential energy curves are analyzed in a search for signatures of oblate-prolate phase shape transitions and results from various Skyrme and pairing forces are considered. Comparisons with results obtained with the Gogny interaction as well as with relativistic mean field calculations are presented. The role of the $\gamma$ degree of freedom is also discussed.