Geodesic
Covariant equations and resonance states of two-particle systems with $\delta$-function potentials
Problemy fiziki, matematiki i tehniki, no. 1 (2015), pp. 11-15

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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 $\delta$-function potential and a superposition of two $\delta$-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, $\delta$-function potential, resonance state, scattering amplitude, scattering cross section. 
@article{PFMT_2015_1_a1,
     author = {V. N. Kapshai and M. S. Danilchenko and Yu. A. Grishechkin},
     title = {Covariant equations and resonance states of two-particle systems with $\delta$-function potentials},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {11--15},
     publisher = {mathdoc},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2015_1_a1/}
}
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V. N. Kapshai; M. S. Danilchenko; Yu. A. Grishechkin. Covariant equations and resonance states of two-particle systems with $\delta$-function potentials. Problemy fiziki, matematiki i tehniki, no. 1 (2015), pp. 11-15. http://geodesic.mathdoc.fr/item/PFMT_2015_1_a1/