Temperature dependence of the formation rates of hydrogen-helium mesic molecules in collisions of slow hydrogen atoms with helium

Muon transfer from the ground state of the muonic hydrogen to helium is of special interest, since it is connected with problem of muon-catalyzed fusion in the deuterium-tritium mixture. The muon transfer rates are calculated at low energy collisions of hydrogen isotopes with helium isotopes. The calculations are carried out in an improved adiabatic approximation. The particular attention is given to the construction of the effective potential. The level energies ε00 and ε10 of the hydrogen-helium muonic molecules are presented. For collision energies ε ≤ 0.1 eV rate of the direct muon transfer does not depend on energy and amounts to λ pHe ∼ 0.06 x 108 s-1. The theoretical results λ obtained by various temperatures are compared with the available experimental data