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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     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},
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     volume = {69},
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     language = {ru},
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}
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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/

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