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

We calculated the (dμ)_n=1 + t scattering in the energy region of the (dtu)resonant states below the n = 2 level of the tu atom. From the cross sections, we estimated the resonant energies, widths and branching ratios. We found eleven resonant states with angular momentum 7 = 0, and some of their resonant energies relative to the J = 2 level of tji are small enough to form the [(dtμ)*dee] by the Vesman mechanism. These resonant states decay to (dμ)_n=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 the n = 2 states of tu can transfer to the n= 1 state of du through (tμ)_n=2 + D₂ → [(dtμ)*dee] and (dtμ)* → (d*μ)_n=1 + t processes.