Effect of dtmu quasi-nucleus structure on energy levels of t(15)

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 $

oneobtainsJλ1+thesecalculationsandintegrating(29)and

(30)

in

the

energyinterval0≤k2/2µ1≤10eV, Eν E

lLn=2n=3n=2n=3

TABLEII:Energyshifts(meV)forafewstatesof(dtµ)deeand(dtµ)teewiththevibrationalquantumnumbern,thetotalangularmomentumL,andangularmomentumlofthehydrogen-likemoleculewiththepoint-likedtµquasi-nucleus.

thatapplicabilityoftheharmonicapproximationfortheBOpotentialwascheckedbyusingthemodi eddipolematrixelement(23)inthecalculation,whichgivesanestimateoftheunharmoniccorrectionoftheorderof5%intheenergyshifts.Calculationsrevealthattheenergyshiftsareessentiallydependentontheisotopiccompositionandthemolecularquantumnumbersnandl,whichisbasicallyconnectedwiththecancellationofthe rst-andsecond-orderPTcontributions.Inparticular,theenergyshiftsdecreasewithincreasingnsothat ±becomeverysmallorevennegativeforn=4.Thereasonforthisdependenceisanincreasinginthedipolematrixelement(22)withincreasingn,which,inturn,leads