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用推广的等效两体方法求解类氦离子三体问题
引用本文:林祁斛,任中洲.用推广的等效两体方法求解类氦离子三体问题[J].原子核物理评论,2009,26(3):231-237.
作者姓名:林祁斛  任中洲
作者单位: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
基金项目:国家自然科学基金,国家重点基础研究发展规划(973计划) 
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
收稿时间:1900-01-01

Equivalent Two-body Method for Helium-like Ions
LIN Qi-hu,REN Zhong-zhou.Equivalent Two-body Method for Helium-like Ions[J].Nuclear Physics Review,2009,26(3):231-237.
Authors:LIN Qi-hu  REN Zhong-zhou
Institution:(1 Department of Physics, Nanjing University, Nanjing 210008, China;2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Research 
Abstract: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.
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