Geodesic
On a~class of exact solutions of quasipotential equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 349-360

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It is shown that quasipotentials equations [1, 2] can be reduced to second-order differential equations in the rapidity space if the quasipotentials are chosen in the form of functions that are local in the Lobachevskii momentum space, their images in the relativistic configuration representation being even functions of $r$. For quasipotentials of the form $V(r)\sim r^{-2}$, $(r^2\pm a^2)^{-1}$ in the chiral limit, when the mass of a bound state is equal to zero, exact wave functions are obtained. 
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     author = {V. N. Kapshai and S. P. Kuleshov and N. B. Skachkov},
     title = {On a~class of exact solutions of quasipotential equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a2/}
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V. N. Kapshai; S. P. Kuleshov; N. B. Skachkov. On a~class of exact solutions of quasipotential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 349-360. http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a2/