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

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

2007-11-08

arxiv.org/abs/0711.1308v1

Phys.Rev.C76:064303,2007

Physics

Nuclear Physics

Nuclear Theory

8 pages, 12 figures

Scientific paper

10.1103/PhysRevC.76.064303

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.

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