用推广的等效两体方法求解类氦离子三体问题  

Equivalent Two-body Method for Helium-like Ions

作　　者：林祁斛[1] 任中洲[1,2] 

机构地区：[1]南京大学物理系,江苏南京210008 [2]兰州重离子加速器国家实验室原子核理论中心,甘肃兰州730000

出　　处：《原子核物理评论》2009年第3期231-237,共7页Nuclear Physics Review

基　　金：国家自然科学基金资助项目(10535010;10675090;10775068;10735010);国家重点基础研究发展计划(973计划)资助项目(2007CB815004)~~

摘　　要：介绍了求解三体问题的等效两体方法,将等效两体方法推广到原子系统,利用该方法求解类氦离子的基态,与一般的单参数变分法相比得到了与实验值符合得更好的结果,进而利用双参数变分法对所得结果进行了检验。结果表明,等效两体方法同样适用于求解原子系统中的三体问题。An extended equivalent two-body method for three-body systems is introduced in this article. The method is applied to an atomic three-body system. Energies and wave functions of a helium-like ion are calculated, which are consistent with the experimental data much better, in contrast to the results obtained by a one-parameter calculus of variations approach. Then we use a two-parameter calculus of variations approach to verify the precision of the ground state energy and wave function obtained by the extended equivalent two-body method. These results indicated that the extended equivalent two-body method is applicable to an atomic three-body problem.

关 键 词：三体问题 等效两体方法 变分法 类氦离子 

分 类 号：O571.21[理学—粒子物理与原子核物理]