The angular momentum and parity projected multidimensionally constrained relativistic Hartree–Bogoliubov model
Kun Wang, Bing-Nan Lu
Abstract
Abstract Nuclear deformations are fundamentally important in nuclear physics. We recently developed a multidimensionally 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 and parity projection 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 triangles or tetrahedrons. 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 α 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 α clusters. We also calculate the B ( E 2) and B ( E 3) values for low-lying states and find good agreement with the experiments.