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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 61, Number 3, Pages 431–441
(Mi tmf5765)
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Solvable model of the relativistic two-fermion bound-state problem with infinitely rising potentials
Z. K. Silagadze, A. A. Khelashvili
Abstract:
A one-time relativistic equation for fermion-antifermion bound
states with a special Lorentz structure of the quasipotential is
considered. Radial equations free of the Klein paradox are
obtained. For states with parity εP=(−1)J+1, the
equations admit exact analytic solutions. In the case of a linear
potential with J=0 it is shown for the example of charmonium
that the splittings of the excited levels can be smaller than in
the nonrelativistic approach.
Received: 20.07.1983
Citation:
Z. K. Silagadze, A. A. Khelashvili, “Solvable model of the relativistic two-fermion bound-state problem with infinitely rising potentials”, TMF, 61:3 (1984), 431–441; Theoret. and Math. Phys., 61:3 (1984), 1241–1248
Linking options:
https://www.mathnet.ru/eng/tmf5765 https://www.mathnet.ru/eng/tmf/v61/i3/p431
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