Effect of dtmu quasi-nucleus structure on energy levels of t(12)

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 $

Thee ectofcouplingoftherotationalstateswithl=L±1isexplicitlytakenintoaccountinexpression(40).

Generally,

the

e ect

decreases

with

decreasing

ratioofthelevelsplittingv0αntotheenergydi erencebetweentherotationalstates

2(l 1)+1 =v0βn± αn

ε11

Thevibrationalquantumωandtherotational-energyconstantvraredeterminedbytheBOinternuclearpotentialofthehydrogenmoleculenearitsminimumor,equivalently,bythelow-lyingpartofthe(dtµ)Xeevibrational-rotationalspectracalculatedin[6,7].FittingtheBOpotentialneartheequilibriumdistancea=1.401totheharmonic,unharmonic,andMorsepotentialsprovidesconsistentdeterminationofbothωandtheparameterαM.Asthe

.