Generator-coordinate methods with symmetry-restored Hartree-Fock-Bogoliubov wave functions for large-scale shell-model calculations
Generator-coordinate methods with symmetry-restored Hartree-Fock-Bogoliubov wave functions for large-scale shell-model calculations
复制标题
DOI：
10.1103/physrevc.103.064302
复制
发表时间：
2021-06
影响因子：
3.1
通讯作者：
N. Shimizu;T. Mizusaki;K. Kaneko;Y. Tsunoda
中科院分区：
文献类型：
--
作者：
N. Shimizu;T. Mizusaki;K. Kaneko;Y. Tsunoda
本文将母线坐标法与投影法相结合，应用于大比例壳模型的计算。以四极形变为生成坐标，采用四极约束的Hartree-Fock Bogoliubov方法，通过粒子数投影后的变化来制备GCM基态.由此产生的GCM波函数是角动量和宇称投影基态的线性组合。通过对壳模型空间中的、、和以及模型空间中的和的基准测试，讨论了本方法对壳模型对角化方法的精确解的逼近程度。
The generator coordinate method (GCM) combined with the projection method is applied to large-scale shell-model calculations. The quadrupole deformation is taken as a generator coordinate and the GCM basis states are prepared by the quadrupole-constrained Hartree-Fock Bogoliubov method with the variation after particle-number projection. The resultant GCM wave function is a linear combination of the angular-momentum and parity projected basis states. We discuss how well the present method approximates the exact solution of the shell-model diagonalization method by the benchmark tests of,, andin the-shell model space and those ofandin themodel space.