Effect of dtμquasi-nucleus structure on energy levels of the (dtμ)Xee exotic molecule

Abstract

Precise energies of rovibrational states of the exotic hydrogen-like molecule $(dt\mu )Xee$ are of importance for $dt\mu$ resonant formation, which is a key process in the muon-catalyzed fusion cycle. The effect of the internal structure and motion of the $dt\mu$ quasi-nucleus on energy levels is studied using the three-body description of the $(dt\mu )Xee$ molecule based on the hierarchy of scales and corresponding energies of its constituent subsystems. For a number of rovibrational states of $(dt\mu )dee$ and $(dt\mu )tee$, the shifts and splittings of energy levels are calculated in the second order of the perturbation theory.