  The radiation reaction (beamstrahlung) effect on particle dynamics during
interaction of oppositely charged beams is studied. It is shown that the beam
focusing can be strongly enhanced due to beamstrahlung. An approximate
analytical solution of the motion equation including the radiation reaction
force is derived. The disruption parameter is calculated for classical and
quantum regime of beamstrahlung. The analytical model is verified by QED-PIC
simulations. The model for head-on collision of long beams undergoing a number
of betatron oscillation during interaction is also developed. It is
demonstrated that the beamstrahlung-enhanced disruption effect can play a
significant role in future lepton colliders with high-current particle beams.
