Constraints on the model of dark matter with Coulomb-like interaction explaining positron anomaly

The models of self-interacting dark matter (DM) are popular now, in particular dark matter with Coulomb-like interaction. It leads to enhancement of annihilation in Galaxy what helps to explain cosmic ray puzzles, e.g. positron anomaly. Though such models get constraints from cosmic microwave background (CMB), large scale structure. The constrained region of model parameters can be essentially enlarged if to take into account possibility of much stronger enhanced annihilation of dark matter particles due to their recombination accounted for by a classical dipole radiation. The given constraints are considered for dark disk model with self-interaction.