Solvable model of the relativistic two-fermion bound-state problem with infinitely rising potentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 3, pp. 431-441 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\varepsilon_P=(-1)^{J+1}$, 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.
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     title = {Solvable model of the relativistic two-fermion bound-state problem with infinitely rising potentials},
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Z. K. Silagadze; A. A. Khelashvili. Solvable model of the relativistic two-fermion bound-state problem with infinitely rising potentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 3, pp. 431-441. http://geodesic.mathdoc.fr/item/TMF_1984_61_3_a10/

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