Muonic atom-nucleus collisions in the energy region of dtµ, resonant states

Abstract

We calculated the (dµ)n=1 +t scattering in the energy region of the (dtµ)* resonant states below then=2 level of the tµ atom. From the cross sections, we estimated the resonant energies, widths and branching ratios. We found eleven resonant states with angular momentumJ=0, and some of their resonant energies relative to then=2 level of tµ are small enough to form the [(dtµ)* dee] by the Vesman mechanism. These resonant states decay to (dµ)[inn=1 +t or (tµ)n=1 + d scattering states. The total decay rates are about 1011 s−1 which is three orders of magnitude larger than the fusion rates of (dtµ)*→4 He + n+ 17.6 MeV + µ. The main part of the decaying channel from the shallow resonant states is the (dµ)n=1 +t channel. The branching ratios of the (dµ)n=1 +t decay channel are around 0.9. Most of the muons that reach to then=2 states of tµ can transfer to then=1 state of du through (tµ)n=2 + D2 → [(dtµ)*dee] and (dtµ)* → (dµ)n=1 +t processes.