The angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model

• 作者: Kun Wang Bing-Nan Lu
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2022,（1）
• 所属期刊栏目: NUCLEAR PHYSICS
• 页码范围: 64-76
• 页数: 13页
• 语种: 英文

摘要

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 V4 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 12C.We develop a triangular moment constraint to generate the triangular configurations consisting of three α clusters anranged as an equilateral triangle.The resulting 12C spectra are consistent with that from a triangular rigid rotor for large separations between the α clusters.We also calculate the B(E2)and B(E3) values for low-lying states and find good agreement with the experiments.