A nonperturbative theory of anharmonic multiphonon decay of strong loc
al vibrations in crystals is presented, The theory predicts a slow-dow
n of the decay at large amplitudes, and a jump-like acceleration of th
e decay near the critical amplitudes of similar to 0.3 Angstrom. A loc
al vibration with such or larger amplitude is created, e.g. on excitin
g self-trapped excitons in solid Xe. The time evolution of this vibrat
ion manifests itself in the hot luminescence of this crystal. A compar
ison of the calculated and the observed spectra allows one to conclude
that the relaxation rate of the self-trapped exciton in solid Xe has
indeed a strong maximum at the amplitude of similar to 0.3 Angstrom. (
C) 1998 Elsevier Science B.V. All rights reserved.