Shape and multiple shape coexistence of nuclei within covariant density functional theory

Abstract

Shape and multiple shape coexistence of nuclei are investigated throughout the nuclear chart by calculating the low-lying spectra and the quadrupole shape invariants for even-even nuclei with $10\le Z\le 104$ from the proton drip line to the neutron one within a five-dimensional collective Hamiltonian based on the covariant density functional PC-PK1. The quadrupole shape invariants are implemented to characterize the quadrupole deformations of low-lying $0^{+}$ states and predict nuclear mass regions of shape and multiple shape coexistence. The predicted low-lying spectra and the shape or multi-shape coexisting nuclei are overall in good agreement with the available experimental results. In addition, the present work predicts a wealth of nuclei with shape or multiple shape coexistence in the neutron-rich regions. The connection between the strong $E0$ transition strength and the occurrence of shape coexistence is analyzed systemically. It is found that nuclei with pronounced shape coexistence generally have strong $E0$ transition strengths, while the reverse may not be true. The present results can serve as useful guidelines for experimental searches and theoretical studies of shape and multiple shape coexistence, especially in neutron-rich regions.

8 pages, 8 figures

References in corpus (11)

• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Energy Density Functional analysis of shape evolution in N=28 isotones
• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Evidence for coexisting shapes in ${}^{98}$Zr through lifetime measurements
• Global analysis of quadrupole shape invariants based on covariant energy density functionals
• Shape Coexistence at Zero Spin in 64Ni Driven by the Monopole Tensor Interaction
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei