Geodesic
Solution of a singular quasipotential equation for bound states
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 3, pp. 323-336 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Logunov–Tavkhelidze quasipotential equation for scalar particles of equal masses and a potential $V(r)=gr^{-1}$ in the coordinate representation is reduced to a secondorder differential boundary-value problem in the momentum representation. The corresponding bound-state problem is considered for the $S$-wave. The method of matching solutions is used to obtain a spectrum of weakly bound states; this is similar to the energy spectrum of the Schrödinger equation with the potential $V(r)=-g'r^{-2}$, but differs from it in that the problem of the collapse onto the scattering center does not arise. A comparison equation method is formulated and applied to this problem and used to obtain a discrete energy spectrum for all binding energies. 
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V. Sh. Gogokhiya; D. P. Mavlo; A. T. Filippov. Solution of a singular quasipotential equation for bound states. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 3, pp. 323-336. http://geodesic.mathdoc.fr/item/TMF_1976_27_3_a5/

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