EN
The role of nonpolar optic phonon scattering and of umklapp acoustic phonon scattering is analyzed for a delocalized positronium atom in ionic crystals at elevated temperatures. At temperatures above which they become essential both of these scattering mechanisms contribute to the imaginary self-energy of positronium renormalizing its acoustic deformation potential constant. It was such a renormalization that was recently observed experimentally for delocalized positronium in MgF_2 crystal. We put forward the theoretical explanation of these experiments based upon the model of nonpolar optic phonon scattering of positronium. An effect analogous to that observed in MgF_2 is predicted for crystalline quartz above the temperature of (α-β)-phase transition.