Nonpolar optical scattering of positronium in magnesium fluoride

We report the results of the analysis of the temperature broadening of the momentum distribution of delocalized positronium (Ps) in magnesium fluoride in terms of the optical deformation-potential scattering model (long-wavelength optical phonons). The Ps optical deformation-potential coupling constant ${D}_{o}$ in $\mathrm{Mg}{\mathrm{F}}_{2}$ has been determined to be $(1.8\ifmmode\pm\else\textpm\fi{}0.3)\ifmmode\times\else\texttimes\fi{}{10}^{9}\phantom{\rule{0.3em}{0ex}}\mathrm{eV}∕\mathrm{cm}$. We also show that the Ps momentum distribution is sensitive to second-order phase transitions in those crystals where optical deformation-potential scattering is allowed in one and forbidden in another crystalline phase.