Effect of dt\mu quasi-nucleus structure on energy levels of the   (dt\mu)Xee exotic molecule
  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. 
O. I. Kartavtsev (1), A. V. Malykh (1,2), V. P. Permyakov (1) ((1)   JINR, Dubna, Russia, (2) NovGU, Novgorod the Great, Russia)