Triaxially deformed relativistic Hartree–Bogoliubov theory in Woods–Saxon basis  

作　　者：夏学伟 施智 X W Xia;Z Shi(School of Physics and Electronic Engineering,Center for Computational Sciences,Sichuan Normal University,Chengdu 610068,China;United Imaging Healthcare,Shanghai 201800,China)

机构地区：[1]School of Physics and Electronic Engineering,Center for Computational Sciences,Sichuan Normal University,Chengdu 610068,China [2]United Imaging Healthcare,Shanghai 201800,China

出　　处：《Communications in Theoretical Physics》2023年第4期50-62,共13页理论物理通讯（英文版）

基　　金：the Sichuan Normal University for financial support(No.341813001)。

摘　　要：A triaxially deformed relativistic Hartree–Bogoliubov theory in the Woods–Saxon basis is developed with the aim of treating the triaxial deformation,pairing correlations and continuum in a unified way.In order to consider the triaxial deformation,the deformed potentials are expanded in terms of spherical harmonic functions in the coordinate space.In order to take the pairing correlations into account and treat the continuum properly,by using the Dirac Woods–Saxon basis,which has correct asymptotic behavior,the relativistic Hartree–Bogoliubov equation with triaxial deformation is solved.The formalism of triaxially deformed relativistic Hartree–Bogoliubov theory in Woods–Saxon basis is presented.Taking an axially deformed nucleus24Ne and a triaxially deformed nucleus76Ge as examples,the numerical checks are performed.A weakly bound nucleus112Ge is taken as an example to carry out the necessary converge checks for the numerical parameters.In addition,the ground-state properties of even–even germanium isotopes are investigated.The evolutions of two-neutron separation energy,deformation,root-mean-square radii and density distribution with mass number are analyzed.The comparison between the calculations from the relativistic Hartree–Bogoliubov theory based on harmonic-oscillator basis and the triaxially deformed relativistic Hartree–Bogoliubov theory in Woods–Saxon basis is performed.It is found that the neutron drip line is extended from114Ge to118Ge in the triaxially deformed relativistic Hartree–Bogoliubov theory in Woods–Saxon basis.

关 键 词：covariant density functional theory deformed relativistic Hartree-Bogoliubov theory triaxial deformation continuum effect exotic nuclei 

分 类 号：O571[理学—粒子物理与原子核物理]