Exactly solvable models of a geminate reaction in the presence of scavengers

The irreversible reaction of a geminate pair A+B→Product in dilute solution of scavengers is considered. The scavengers react with one of the partners, say B, thus accelerating its decay and decreasing a geminate reaction yield. The solution of the problem involves certain difficulties due to initial correlations. A many-particle formulation of the problem has been presented. It is based on the consideration of the reacting system in the Fock space. The exact expressions for the kinetics of a geminate pair decay in the presence of scavengers in dilute solutions and for the kinetics of the geminate product accumulation have been derived for arbitrary type of the Markovian motion of the scavengers for the case of immobile B particle and for the situation of infinite stochastic jumps of B particle.