Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional

Abstract

Quadrupole and octupole deformation energy surfaces, low-energy excitation spectra, and electric transition rates in eight neutron-rich isotopic chains -- Ra, Th, U, Pu, Cm, Cf, Fm, and No -- are systematically analyzed using a quadrupole-octupole collective Hamiltonian model, with parameters determined by constrained reflection-asymmetric and axially-symmetric relativistic mean-field calculations based on the PC-PK1 energy density functional. The theoretical results of low-lying negative-parity bands, odd-even staggering, average octupole deformations $⟨{\beta }_3⟩$, and $B(E3;3_1^{-}\to 0_1^{+})$ show evidence of a shape transition from nearly spherical to stable octupole-deformed, and finally octupole-soft equilibrium shapes in the neutron-rich actinides. A microscopic mechanism for the onset of stable octupole deformation is also discussed in terms of the evolution of single-nucleon orbitals with deformation.

Comments: 13 pages, 10 figures, Accepted for Publication in Chinese Physics C. arXiv admin note: substantial text overlap with arXiv:1710.08230; text overlap with arXiv:1402.6102 by other authors