Abstract
In the paper the existence of new quasi-stationary levels in the relativistic Coulomb problem is predicted and their positions are calculated on the basis of the numerical solution of the quasi-potential equation. The results obtained are used for interpretation of the narrow electron-positron resonances revealed in heavy ions collisions and of the diproton resonances observed in neutron-proton interactions. The close relationship of the observed states with the von Neumann-Wigner levels embedded in the continuum, is indicated.
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