Abstract
The coupled vibration–dissociation process for Morse oscillators and structureless particles has been examined. A method to solve the appropriate master equation is developed. The case has been studied carefully where the dissociation process starts mainly from the bound level nearest to the dissociation limit. The master equation has an exact analytical solution in this case upon many-quantum transitions and for an arbitrary amount of energy transferred per collision. Simple expressions for the steady-state dissociation rate and for the incubation time are obtained.
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