Geodesic
Inverse problem of the potential scattering of charged particles at fixed orbital angular momentum and energy
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 340-346

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Expressions are obtained for recovering the central interaction potential of charged particles in the case when the interaction leads to multiplication of the $S$ matrix defined in the complex plane of the Coulomb coupling constant by a rational $S$ function. A study is made of the influence of the sign of the potential on the position of the poles of the $S$ function and of the behavior of the phase shift. 
@article{TMF_1985_63_3_a2,
     author = {M. N. Popushoi},
     title = {Inverse problem of the potential scattering of charged particles at fixed orbital angular momentum and energy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {340--346},
     publisher = {mathdoc},
     volume = {63},
     number = {3},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a2/}
}
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M. N. Popushoi. Inverse problem of the potential scattering of charged particles at fixed orbital angular momentum and energy. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 340-346. http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a2/