The formalism of complex quasienergies is used for exact calculation of the
field-dependent decay rate for a weakly bound particle (in the model of a
three-dimensional zero-range potential) in a strong monochromatic laser fie
ld. It is shown that the adiabatic (quasistationary) stabilization regime i
n this model occurs at frequencies omega exceeding the binding energy and o
nly in a limited intensity range. A simple estimate is obtained for the cri
tical field of stabilization breakdown. The effect may be observed for the
decay of H- ions in the field of a neodymium laser of femtosecond duration.
(C) 2000 MAIK "Nauka / Interperiodica".