Abstract:
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.
Citation:
M. L. Kharakhan, Yu. M. Shirokov, “Jost function for two-channel scattering problem”, TMF, 3:1 (1970), 100–105; Theoret. and Math. Phys., 3:1 (1971), 374–378
\Bibitem{KhaShi70}
\by M.~L.~Kharakhan, Yu.~M.~Shirokov
\paper Jost function for two-channel scattering problem
\jour TMF
\yr 1970
\vol 3
\issue 1
\pages 100--105
\mathnet{http://mi.mathnet.ru/tmf4094}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 3
\issue 1
\pages 374--378
\crossref{https://doi.org/10.1007/BF01031591}
Linking options:
https://www.mathnet.ru/eng/tmf4094
https://www.mathnet.ru/eng/tmf/v3/i1/p100
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Leonarc Michelle Santos, Denny Lane B. Sombillo, “Interpretation of near-threshold peaks using the method of independent
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-matrix poles”, Phys. Rev. C, 108:4 (2023)
V. M. Muzafarov, “Hilbert problem with unitary coefficient matrix”, Theoret. and Math. Phys., 58:2 (1984), 121–126
V. E. Troitsky, “A method of finding the jost matrix”, Theoret. and Math. Phys., 37:2 (1978), 996–998
V. E. Troitsky, S. V. Trubnikov, Yu. M. Shirokov, “On the relationship between the deuteron form factors and the physical $S$-matrix. II”, Theoret. and Math. Phys., 10:2 (1972), 136–139
V. E. Troitsky, S. V. Trubnikov, Yu. M. Shirokov, “On the relationship between the deuteron form factors and the physical $S$-matrix. III”, Theoret. and Math. Phys., 10:3 (1972), 234–241
Yu. A. Brychkov, Yu. M. Shirokov, “Asymptotic behavior of Fourier transforms”, Theoret. and Math. Phys., 4:3 (1970), 847–853
M. L. Kharakhan, Yu. M. Shirokov, “Connection of field matrix elements with the phases of two-channel $S$-wave scattering”, Theoret. and Math. Phys., 5:1 (1970), 963–968
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