E(5) and X(5) shape phase transitions within a Skyrme Hartree-Fock + BCS approach

Abstract

Self-consistent Skyrme Hartree-Fock plus BCS calculations are performed to generate potential energy curves (PEC) in various chains of Pd, Xe, Ba, Nd, Sm, Gd, and Dy isotopes. The evolution of shapes with the number of nucleons is studied in a search for signatures of E(5) and X(5) critical point symmetries. It is shown that the energy barriers in the PECs are determined to a large extent by the treatment of the pairing correlations.

8 pages, 12 figures

References in corpus (2)

• E(5), X(5), and Prolate to Oblate Shape Phase Transitions in Relativistic Hartree Bogoliubov Theory
• Global study of the spectroscopic properties of the first 2+ state in even-even nuclei

Cited by in corpus (5)

• Shape transitions in neutron-rich Yb, Hf, W, Os, and Pt isotopes within a Skyrme Hartree-Fock + BCS approach
• Structural evolution in Pt isotopes with the Interacting Boson Model Hamiltonian derived from the Gogny Energy Density Functional
• Shape evolution in Yttrium and Niobium neutron-rich isotopes
• Octupole degree of freedom for the critical-point candidate nucleus ${}^{152}$Sm in a reflection-asymmetric relativistic mean-field approach
• A beyond mean field analysis of the shape transition in the Neodymium isotopes