Numerical approach to the lowest bound state of muonic three-body systems
Atomic Physics
2015-10-26 v1
Abstract
In this paper, calculated energies of the lowest bound state of Coulomb three-body systems containing an electron (), a negatively charged muon () and a nucleus () of charge number Z are reported. The 3-body relative wave function in the resulting Schr\"odinger 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.
Keywords
Cite
@article{arxiv.1510.06831,
title = {Numerical approach to the lowest bound state of muonic three-body systems},
author = {Md. Abdul Khan},
journal= {arXiv preprint arXiv:1510.06831},
year = {2015}
}
Comments
11 pages, 4 figures. arXiv admin note: text overlap with arXiv:1406.4953