Geodesic
Effects of Coulomb interaction in relativistic $N/D$~equations with allowance for inelasticity
Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 1, pp. 88-99

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The quasipotential approach is used to investigate the analytic properties of the partial-wave $S$ matrix in the relativistic Coulomb-nuclear scattering problem of particles having charges of the same kind. A procedure for separating the Coulomb singularities of the partial-wave amplitudes is considered, and it is shown that in the complex plane of the square of the relative momentum $\nu$ of the particles the matrix $\hat\tau_{CH}(\nu)$ of the partial-wave amplitudes renormalized in a certain manner has on the physical sheet an analytic structure analogous to that of the matrix of partial-wave amplitudes when the Coulomb interaction is switched off. In the multichannel case, a system of modified $N/D$ equations is formulated with allowance for inelasticity and the Coulomb effects. 
@article{TMF_1986_69_1_a7,
     author = {A. N. Safronov},
     title = {Effects of {Coulomb} interaction in relativistic $N/D$~equations with allowance for inelasticity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {88--99},
     publisher = {mathdoc},
     volume = {69},
     number = {1},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_69_1_a7/}
}
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A. N. Safronov. Effects of Coulomb interaction in relativistic $N/D$~equations with allowance for inelasticity. Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 1, pp. 88-99. http://geodesic.mathdoc.fr/item/TMF_1986_69_1_a7/