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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 keyprocess in the muon-catalyzed fusion cycle. The effect of the internalstructure and motion of the $dt\mu$ quasi-nucleus on energy levels is studiedusing the three-body description of the $(dt\mu)Xee$ molecule based on thehierarchy of scales and corresponding energies of its constituent subsystems.For a number of rovibrational states of $(dt\mu)dee$ and $(dt\mu)tee$, theshifts and splittings of energy levels are calculated in the second order ofthe perturbation theory

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Effect of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mi>t</mml:mi><mml:mi>μ</mml:mi></mml:mrow></mml:math>quasinucleus structure on energy levels of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mi>t</mml:mi><mml:mi>μ</mml:mi><mml:mo>)</mml:mo><mml:mi>X</mml:mi><mml:mi>e</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:math>exotic molecule

Effect ofdtμquasinucleus structure on energy levels of the(dtμ)Xeeexotic molecule