Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model

Abstract

The nuclear deformations are of fundamental importance in nuclear physics. Recently we developed a multi-dimensionally constrained relativistic Hartree-Bogoliubov (MDCRHB) model, in which all multipole deformations respecting the $V_4$ symmetry can be considered self-consistently. In this work we extend this model by incorporating the angular momentum projection (AMP) and parity projection (PP) to restore the rotational and parity symmetries broken in the mean-field level. This projected-MDCRHB (p-MDCRHB) model enables us to connect certain nuclear spectra to exotic intrinsic shapes such as triangle or tetrahedron. We present the details of the method and an exemplary calculation for ${}^{12}$C. We develop a triangular moment constraint to generate the triangular configurations consisting of three $\alpha$ clusters arranged as an equilateral triangle. The resulting ${}^{12}$C spectra are consistent with that from a triangular rigid rotor for large separations between the $\alpha$ clusters. We also calculate the $B(E2)$ and $B(E3)$ values for low-lying states and find good agreement with the experiments.

arXiv comment37 pages, 6 figures

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Cited by in corpus (12)

• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Anatomy of octupole correlations in ${}^{96}$Zr with a symmetry-restored multidimensionally-constrained covariant density functional theory
• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• Accuracy of the mean-field theory in describing ground-state properties of light nuclei
• Cluster model of 12C in density functional theory framework
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• 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
• Gallagher-Moszkowski splitting in deformed odd-odd nuclei within a microscopic approach
• Implication of shell quenching in scandium isotopes around N=20
• Implication of odd-even staggering in the charge radii of calcium isotopes
• Probing Quadruple Deformation in Transitional Nuclei via Angular Momentum Projection