Non-Born-Oppenheimer study of the muonic molecule ion 4Heμ^+

作     者：Hang Yang Meng-Shan Wu Yi Zhang Ting-Yun Shi Kalman Varga Jun-Yi Zhang 杨航;吴孟山;张屹;史庭云;Kalman Varga;张俊义

作者机构：State Key Laboratory of Magnetic Resonance and Atomic and Molecular PhysicsWuhan Institute of Physics and MathematicsChinese Academy of SciencesWuhan 430071China University of Chinese Academy of SciencesBeijing 100049China Department of Physics and AstronomyVanderbilt UniversityNashvilleTennessee 37235USA 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2020年第29卷第4期

页      面：226-231页

核心收录：

学科分类：07[理学] 070202[理学-粒子物理与原子核物理] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11704399) the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB21030300) the National Key Research and Development Program of China(Grant No.2017YFA0304402) 

主　　题：positive muon variational calculation explicitly correlated Gaussian 

摘      要：Accurate non-Born-Oppenheimer variational calculations of all bound states of the positive muon molecular ion 4Heμ^+ have been performed using explicitly correlated Gaussian functions in conjunction with the global *** the energies obtained are accurate in the order of 10-6 Hartree(1 Hartree=27.2114 eV).Compared with the binding energies obtained from calculations based on the Born-Oppenheimer potential with the mass-weighted adiabatic corrections(***.110487(1984)),the largest relative deviation is up to 15%.By analyzing the average interparticle distances and possibility distributions of interparticle distances of this system,it is confirmed that the Born-Oppenheimer approximation is reasonable for this system and that 4Heμ^+ can be regarded as a system of positive muon bound to a slightly distorted helium atom.