The complex resonance energy (rapidity) spectra of relativistic two particle systems are found on the basis of exact solutions of the covariant two-particle equations with
-function potential and a superposition of two
-function potentials. It is established that the exact partial two particle relativistic amplitudes have resonance behavior precisely at those energy (rapidity) values, which correspond to the real part of the complex resonance energies.

Keywords: relativistic two-particle equations, relativistic configuration representation,
-function potential, resonance state, scattering amplitude, scattering cross section.

V.N. Kapshai – Department of Physics, F. Scorina Gomel State University, Gomel, Belarus

M.S. Danilchenko – Department of Physics, F. Scorina Gomel State University, Gomel, Belarus

Yu.A. Grishechkin – Department of Physics, F. Scorina Gomel State University, Gomel, Belarus

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