Variation after projection with a triaxially deformed nuclear mean field
Variation after projection with a triaxially deformed nuclear mean field
复制标题
DOI：
10.1103/physrevc.92.064310
复制
发表时间：
2015-09
影响因子：
3.1
通讯作者：
Zao-Chun Gao;M. Horoi;Y. S. Chen
中科院分区：
文献类型：
--
作者：
Zao-Chun Gao;M. Horoi;Y. S. Chen
基于三轴变形的Hartree-Fock-Bogoliubov真空态，实现了一种投影后变分（VAP）算法。这是第一个包括所有量子数（奇偶性除外）的投影平均场研究，即，自旋（$J$）、同位旋（$T$）和质量数（$A$）。本文采用USDB哈密顿量对偶偶sd壳层核进行了系统的VAP计算。所有的VAP基态能量在500 keV以上的确切壳模型值。我们的VAP计算表明，自旋投影有两个重要的影响：（1）自旋投影是至关重要的，在实现良好的近似的全壳模型计算。(2)具有自旋投影的VAP波函数的本征形状总是三轴的，而Hartree-Fock-Bogoliubov方法可能提供轴向的本征形状。最后，我们的分析表明，人们可能不可能将固有形状与精确的壳模型波函数相关联。
We implemented a variation after projection (VAP) algorithm based on a triaxially deformed Hartree-Fock-Bogoliubov vacuum state. This is the first projected mean field study that includes all the quantum numbers (except parity), i.e., spin ($J$), isospin ($T$) and mass number ($A$). Systematic VAP calculations with $JTA$-projection have been performed for the even-even $sd$-shell nuclei with the USDB Hamiltonian. All the VAP ground state energies are within 500 keV above the exact shell model values. Our VAP calculations show that the spin projection has two important effects: (1) the spin projection is crucial in achieving good approximation of the full shell model calculation. (2) the intrinsic shapes of the VAP wavefunctions with spin projection are always triaxial, while the Hartree-Fock-Bogoliubov methods likely provide axial intrinsic shapes. Finally, our analysis suggests that one may not be possible to associate an intrinsic shape to an exact shell model wave function.