Octupole degree of freedom for the critical-point candidate nucleus ${}^{152}$Sm in a reflection-asymmetric relativistic mean-field approach

Abstract

The potential energy surfaces of even-even ${}^{146-156}$Sm are investigated in the constrained reflection-asymmetric relativistic mean-field approach with parameter set PK1. It is shown that the critical-point candidate nucleus ${}^{152}$Sm marks the shape/phase transition not only from U(5) to SU(3) symmetry, but also from the octupole-deformed ground state in ${}^{150}$Sm to the quadrupole-deformed ground state in ${}^{154}$Sm. By including the octupole degree of freedom, an energy gap near the Fermi surface for single-particle levels in ${}^{152}$Sm with ${\beta }_2=0.14\sim 0.26$ is found, and the important role of the octupole deformation driving pair $\nu 2f_{7/2}$ and $\nu 1i_{13/2}$ is demonstrated.

arXiv comment11 pages, 3 figures

References in corpus (13)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• A Giant Halo at the Neutron Drip Line
• Quantum phase transitions in the interacting boson model
• Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region
• Microscopic description of nuclear quantum phase transitions
• E(5), X(5), and Prolate to Oblate Shape Phase Transitions in Relativistic Hartree Bogoliubov Theory
• First order shape transition and critical point nuclei in Sm isotopes from relativistic mean field approach
• Nuclear collective motion with a coherent coupling interaction between quadrupole and octupole modes
• Reflection asymmetric relativistic mean field approach and its application to the octupole deformed nucleus ${}^{226}$Ra
• E(5) and X(5) shape phase transitions within a Skyrme Hartree-Fock + BCS approach
• A beyond mean field analysis of the shape transition in the Neodymium isotopes

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