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.

11 pages, 3 figures

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Cited by in corpus (9)

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• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Ground state properties and potential energy surfaces of ${}^{270}$Hs from multidimensionally-constrained relativistic mean field model
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Octupole deformation for Ba isotopes in a reflection-asymmetric relativistic mean-field approach
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
• Parity-doublet bands in the odd-\bm{$A$} isotones \element{237}U and \element{239}Pu by a particle-number-conserving method based on the cranked shell model