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

Abstract Nuclear deformations are fundamentally important in nuclear physics. We recently developed a multidimensionally constrained relativistic Hartree–Bogoliubov (MDCRHB) model, which all multipole respecting the V 4 symmetry can be considered self-consistently. In this work we extend model by incorporating angular momentum projection and parity to restore rotational symmetries broken mean-field level. This projected MDCRHB (p-MDCRHB) enables us connect certain spectra exotic intrinsic shapes such as triangles or tetrahedrons. present details of method an exemplary calculation for 12 C. develop triangular moment constraint generate configurations consisting three α clusters arranged equilateral triangle. The resulting C consistent with that from rigid rotor large separations between clusters. also calculate B ( E 2) 3) values low-lying states find good agreement experiments.