Octupole degree of freedom for the critical-point candidate nucleusSm<mml:mprescripts/><mml:none/>152in a reflection-asymmetric relativistic mean-field approach

2010/03/10 by W. Zhang, Z. P. Li, S. Q. Zhang +3
Mathematics · Physics and Astronomy · #Astronomical and nuclear sciences #Atomic and Molecular Physics #Computer science #Degree (music) #Geometry #Mathematics #Nuclear physics research studies #Physics #Point (geometry) #nucl-th

paper · pdf · doi:10.1103/physrevc.81.034302

published as Phys. Rev. C81:034302,2010 · 11 pages, 3 figures

openalex publication_date 2010/03/10 · arxiv created 2010/03/11 · arxiv updated 2010/03/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The potential energy surfaces of even-even ^146--156Sm are investigated in the constrained reflection-asymmetric relativistic mean-field approach with parameter set PK1. It is shown that the critical-point candidate nucleus ¹⁵²Sm marks the shape/phase transition not only from U(5) to SU(3) symmetry, but also from the octupole-deformed ground state in ¹⁵⁰Sm to the quadrupole-deformed ground state in ¹⁵⁴Sm. By including the octupole degree of freedom, an energy gap near the Fermi surface for single-particle levels in ¹⁵²Sm with \ensuremathβ₂=0.14~0.26 is found and the important role of the octupole deformation driving pair \ensuremathν2f_7/2 and \ensuremathν1i_13/2 is demonstrated.

Citations

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• E(5) and X(5) shape phase transitions within a Skyrme-Hartree-Fock + BCS approach
• Microscopic Description of Nuclear Quantum Phase Transitions
• Giant Halo at the Neutron Drip Line
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei