Deformed relativistic Hartree-Bogoliubov theory in continuum
Deformed relativistic Hartree-Bogoliubov theory in continuum
复制标题
DOI：
10.1103/physrevc.85.024312
复制
发表时间：
2012-02
影响因子：
3.1
通讯作者：
Lulu Li;J. Meng;P. Ring;P. Ring;E. Zhao;E. Zhao;Shan-Gui Zhou
中科院分区：
文献类型：
--
作者：
Lulu Li;J. Meng;P. Ring;P. Ring;E. Zhao;E. Zhao;Shan-Gui Zhou
针对具有大空间扩展的奇异核，提出了连续介质中的变形相对论Hartree Bogoliubov （RHB）理论。为了充分考虑奇异核中连续介质的贡献和大的空间分布，采用Woods-Saxon （WS）基对变形RHB方程进行了求解，其中径向波函数在离核中心较远的距离处具有适当的渐近行为。这对于正确描述可能的光晕是至关重要的。给出了连续体中变形RHB理论的形式。以稳定核Mg-20和弱束缚核Mg-42为例，给出了数值细节，并进行了必要的数值校核。此外，还研究了偶偶镁同位素的基态性质。讨论了弱束缚形变体系中形成晕的一般条件和形变核中晕的形状。我们证明了可能的中子晕的存在和变形本质上取决于费米表面附近单粒子轨道主要成分的量子数。
A deformed relativistic Hartree Bogoliubov (RHB) theory in continuum is developed aiming at a proper description of exotic nuclei, particularly those with a large spatial extension. In order to give an adequate consideration of both the contribution of the continuum and the large spatial distribution in exotic nuclei, the deformed RHB equations are solved in a Woods-Saxon (WS) basis in which the radial wave functions have a proper asymptotic behavior at large distance from the nuclear center. This is crucial for the proper description of a possible halo. The formalism of deformed RHB theory in continuum is presented. A stable nucleus, Mg-20 and a weakly bound nucleus Mg-42 are taken as examples to present numerical details and to carry out necessary numerical checks. In addition, the ground-state properties of even-even magnesium isotopes are investigated. The generic conditions of the formation of a halo in weakly bound deformed systems and the shape of the halo in deformed nuclei are discussed. We show that the existence and the deformation of a possible neutron halo depend essentially on the quantum numbers of the main components of the single particle orbitals in the vicinity of the Fermi surface.