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 $
momentumλ
nλλdkZnl,ν (k)Zν ,nl(k)1Wll1= ν λ
ρP1(cosθ)+12
ρ2+ ρ+2 2V V
ρ
α2Q[Unl,nMQL
61l1δll1+Unl,n1l1A2(l1l11)],
Wlln
1= α2UnνDUνnD(l11 λ)Iλ(Eν
ν E+ε11)
where AL1(l1 λ)AL1λ
Iλ( )= ∞[uλ(k)]2dk
ρ2+2
ρ,
UQ
nl,n1l1=2 ρ2dρΦV Vnl(ρ)Φn1l1(ρ) 2ρ
ρ.
andtheangularintegralsALK(lλl1λ1)aregivenintheAppendix.
(11)(12)(16)(18)