A theoretical model is introduced for the experimentally observed none
xponential slow-component decay of Pb2+ ions in potassium halide cryst
al hosts. It is based on the assumption that the adiabatic approximati
on is violated for the slow emission process. The Hamiltonian of the m
odel describes the lowest excited state of the system as two energy le
vels resulting from the Jahn-Teller effect and from spin-orbit couplin
g. It is parametrized by the lattice relaxation time scale and by latt
ice-induced coupling and energy values for those levels. Using the mod
el, a successful fit of the experimental data was obtained.