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

2007/11/08 by R. Rodrı́guez-Guzmán, R. Rodriguez-Guzman, P. Sarriguren · 3 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Nuclear physics research studies #Rare-earth and actinide compounds #nucl-th

paper · pdf · doi:10.1103/physrevc.76.064303

published as Phys.Rev.C76:064303,2007 · 8 pages, 12 figures

arxiv created 2007/11/08 · openalex publication_date 2007/12/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Self-consistent Skyrme-Hartree-Fock plus BCS calculations are performed to generate potential energy curves (PECs) 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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