Relativistic Coulomb quasipotential and new narrow resonances in systems of charged particles

The Coulomb problem for negative and positive binding energies is considered by means of the quasipotential approach. Numerical calculations made for the example of a scalar model lead to the conclusion that in the relativistic Coulomb problem there exist quasistationary levels that have properties close to those of the narrow electron-positron resonances observed in heavy-ion collisions. The possibility of using the obtained results to interpret the observed narrow dibaryonic resonances is discussed.