English

Adiabatic expansion approximation solutions for the three-body problem

Nuclear Theory 2009-06-23 v1

Abstract

The motion of a muon in two centers coulomb field is one of the interesting problems of quantum mechanics. The adiabatic expansion method is powerful approach to study the muonic three-body system. In this investigation the three-body problem is studied for short-range interactions. Bound states and energy levels of this system were calculated and compared with their Born-Oppenheimer method counterparts. The obtained results are in good agreement with the previous calculations.

Keywords

Cite

@article{arxiv.0906.3863,
  title  = {Adiabatic expansion approximation solutions for the three-body problem},
  author = {M. R. Pahlavani and S. M. Motevalli},
  journal= {arXiv preprint arXiv:0906.3863},
  year   = {2009}
}
R2 v1 2026-06-21T13:16:01.148Z