Abstract: A new approach is proposed to the description of the breakup reaction in systems of three charged quantum particles in the presence of Coulomb pair attraction potentials. The analytic asymptotic form of the wavefunction at infinity in the configuration space is assumed to be known. For the first time, a simplified asymptotic form associated with the separation of the main contributions generated by an infinite set of pair asymptotic scattering channel is proposed. The approach proposed here appears as fundamental for describing the breakup reaction in multiparticle systems. The possibility of application of the approach developed here to the description of dissociative recombination and charge-exchange processes in experiments on accumulation of antiatoms is considered.