论文标题
角动量和奇偶校验投影了多维限制的相对论Hartree-Bogoliubov模型
Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
论文作者
论文摘要
核变形在核物理学中至关重要。最近，我们开发了一个多维约束的相对论Hartree-Bogoliubov（MDCRHB）模型，其中所有尊重$ v_4 $对称性的多极变形可以自一视为。在这项工作中，我们通过结合角动量投影（AMP）和奇偶校验投影（PP）来扩展此模型，以恢复平均场水平破裂的旋转和平等对称性。该预测的MDCRHB（P-MDCRHB）模型使我们能够将某些核谱与外在的内在形状（例如三角形或四面体）联系起来。我们介绍了该方法的详细信息和$^{12} $ c的示例性计算。我们开发一个三角矩约束，以生成由三个排列为等边三角形的三个$α$簇组成的三角形构型。所得的$^{12} $ c光谱与从三角形刚性转子中的$α$簇之间进行大分离的光谱一致。我们还计算了低洼状态的$ b（e2）$和$ b（e3）$值，并与实验找到良好的一致性。
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 $α$ 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 $B(E2)$ and $B(E3)$ values for low-lying states and find good agreement with the experiments.
