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Three-Body Problem of H_2~+ Ion
Authors:LIN Qi-Hu and REN Zhong-Zhou
Affiliation:1.Department of Physics, Nanjing University, Nanjing 210093, China;2.Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000, China
Abstract:The Feshbach-Rubinow approximation and its improved versions have been applied to the H2+ ion system.The ground-state energies are calculated with these different methods.The best ground-state energy obtained is only 2% higher than the experimental result.Given the simplicity of the method,this accuracy is quite remarkable.It is shown that the screening effect plays a less significant role and the effective potential between the two protons is probably of most importance in this problem.
Keywords:Feshbach-Rubinow approximation  three-body problem  hydrogen molecule ion
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