Hartree-Fock基矢下第一性原理的多体微扰理论计算  

Ab initio Many-body Perturbation Calculations with Chiral N^3LO Interaction

作　　者：胡柏山[1] 许甫荣[1] 

机构地区：[1]北京大学物理学院,北京100871

出　　处：《原子核物理评论》2017年第3期344-350,共7页Nuclear Physics Review

基　　金：国家重大基础研究计划(973计划)(2013CB834402);国家自然科学基金资助项目(11235001;11320101004;11575007)~~

摘　　要：从现实核力出发(手征有效场论N^3LO),应用多体微扰理论对一些双幻核进行计算。借助相似重整化群理论对手征有效场论核力进行"软化"处理。在Hartree-Fock基矢下对有效哈密顿量进行多体微扰理论计算,对能量的修正计算到第三阶,对波函数微扰修正到第二阶。利用反对称化的Goldstone图对波函数进行展开,进而对单体密度进行修正,从单体密度出发对原子核半径进行计算。与实验数据进行对比,给出了很好的计算结果。Starting from chiral N^3LO, we have applied many-body perturbation theory（MBPT） to the structure of spherical, doubly closed-shell nuclei. The two-body N^3LO interaction is softened by a similarity renormalization group transformation. The MBPT calculations are performed within the Hartree-Fock（HF） bases.Higher-order corrections in the HF basis are small relative to the leading-order perturbative result. Corrections up to the third order in energy and up to the second order in wave function are evaluated. Using the anti-symmetrized Goldstone diagram expansions of the wave function, we directly correct the one-body density for the calculation of the radius. Our results are in very good agreement with experimental data.

关 键 词：第一性原理计算 手征有效场论 多体微扰理论 相似重整化群 4He 16O基态性质 

分 类 号：O571.2[理学—粒子物理与原子核物理]