Adiabatic expansion approximation solutions for the three-body problem

2009/06/21 by M. R. Pahlavani, Pahlavani, M. R., S. M. Motevalli +1
Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.0906.3863

openalex publication_date 2009/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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