Geodesic
Jost function for two-channel scattering problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 1, pp. 100-105

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The Jost function is generalized to the case of two-channel scattering of nonrelativistic spinless particles with an arbitrary (not necessarily local) interaction Hamiltonian. It is shown that the problem of finding the Jost matrix from the $S$-matrix reduces to the solution of a nonsingular integral equation for a single function. An explicit solution for the Jost matrix can be found if the $S$-matrix can be continued analytically. 
@article{TMF_1970_3_1_a7,
     author = {M. L. Kharakhan and Yu. M. Shirokov},
     title = {Jost function for two-channel scattering problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {100--105},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_3_1_a7/}
}
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M. L. Kharakhan; Yu. M. Shirokov. Jost function for two-channel scattering problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 1, pp. 100-105. http://geodesic.mathdoc.fr/item/TMF_1970_3_1_a7/