Few-body model approach to the bound states of helium-like exotic three-body systems

27th IUPAP Conference on Computational Physics

物理学;计算机科学

Khan, Md A.^1

Department of Physics, Aliah University, Kolkata-Newtown

700156, India^1

关键词: Coulomb three-body systems;    Coupled differential equations;    Dinger equation;    Hyperspherical harmonics;    Negatively charged;    Numerov method;    Raynal-Revai Coeffcient (RRC);    Three-body systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/759/1/012054/pdf
DOI  :  10.1088/1742-6596/759/1/012054

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

In this paper, calculated energies of the lowest bound S-state of Coulomb three-body systems containing an electron (e-), a negatively charged muon (μ-) and a nucleus (NZ+) of charge number Z are reported. The 3-body relative wave function in the resulting Schrödinger equation is expanded in the complete set of hyperspherical harmonics (HH). Use of the orthonormality of HH leads to an infinite set of coupled differential equations (CDE) which are solved numerically to get the energy E.