Abstract
A nonperturbative theory of anharmonic multiphonon decay of strong local vibrations in crystals is presented. The theory predicts a slow–down of the decay at large amplitudes, and its jump–like acceleration near the critical amplitudes of ≍ 0.3 A. Local vibration with such or larger amplitude is created e.g. on exciting quasi–molecules (localised excitons)\( Xe_2^* \)in solid Xe. The time evolution of this vibration manifests itself in the hot luminescence of Xe crystal. A comparison between the calculated and the observed spectra allows one to conclude that the relaxation rate of\( Xe_2^* \)in solid Xe has indeed a strong maximum at the amplitude of ≍ 0.3 A.
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