Adiabatic expansion approximation solutions for the three-body problem

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.