The explanation of unexpected temperature dependence of the muon catalysis in solid deuterium

Abstract

It is shown that due to the smallness of the inelastic cross-section of the $dμ$-atoms scattering in the crystal lattice at sufficiently low temperatures the $ddμ$-mesomolecules formation from the upper state of the hyperfine structure $dμ(F=3/2)$ starts earlier than the mesoatoms thermolization. It explains an approximate constancy of the $ddμ$-mesomolecule formation rate in solid deuterium.