Abstract:
A method for constructing separable potentials with oscillator form factors from a given S-matrix is suggested in the framework of the J-matrix approach. The case of elastic scattering with two coupled channels is considered.
Citation:
S. A. Zaytsev, “Approximate inverse scattering method in the J-matrix approach: The case of two coupled channels”, TMF, 121:3 (1999), 424–435; Theoret. and Math. Phys., 121:3 (1999), 1617–1627
\Bibitem{Zay99}
\by S.~A.~Zaytsev
\paper Approximate inverse scattering method in the $J$-matrix approach: The case of two coupled channels
\jour TMF
\yr 1999
\vol 121
\issue 3
\pages 424--435
\mathnet{http://mi.mathnet.ru/tmf820}
\crossref{https://doi.org/10.4213/tmf820}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1761142}
\zmath{https://zbmath.org/?q=an:0967.81055}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 121
\issue 3
\pages 1617--1627
\crossref{https://doi.org/10.1007/BF02557207}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085306100006}
Linking options:
https://www.mathnet.ru/eng/tmf820
https://doi.org/10.4213/tmf820
https://www.mathnet.ru/eng/tmf/v121/i3/p424
This publication is cited in the following 8 articles:
Johnson C.W. Launey K.D. Auerbach N. Bacca S. Barrett B.R. Brune C. Caprio M.A. Descouvemont P. Dickhoff W.H. Elster Ch. Fasano P.J. Fossez K. Hergert H. Hjorth-Jensen M. Hlophe L. Hu B. Id Betan R.M. Idini A. Koenig S. Kravvaris K. Lee D. Lei J. Mercenne A. Perez R.N. Nazarewicz W. Nunes F.M. Ploszajczak M. Rotureau J. Rupak G. Shirokov A.M. Thompson I. Vary J.P. Volya A. Xu F. Zegers R.G.T. Zelevinsky V. Zhang X., “White Paper: From Bound States to the Continuum”, J. Phys. G-Nucl. Part. Phys., 47:12 (2020), 123001
Zaytsev, SA, “J-matrix inverse-scattering approach for coupled channels with different thresholds”, Physical Review A, 76:6 (2007), 062706
Shirokov, AM, “NN potentials from the J-matrix inverse scattering approach”, Journal of Physics G-Nuclear and Particle Physics, 31:8 (2005), S1283
Zaytsev, SA, “A discrete version of the inverse scattering problem and the J-matrix method”, Inverse Problems, 21:3 (2005), 1061
S. A. Zaytsev, “The $S$-Matrix Structure and the Inverse Scattering Transform in the $J$-Matrix Approach”, Theoret. and Math. Phys., 140:1 (2004), 918–930
Shirokov, AM, “Nucleon-nucleon interaction in the J-matrix inverse scattering approach and few-nucleon systems”, Physical Review C, 70:4 (2004), 044005
Lurie, YA, “Loosely bound three-body nuclear systems in the J-matrix approach”, Annals of Physics, 312:2 (2004), 284
Zaitsev, SA, “N N potentials from inverse scattering in the J-matrix approach”, Journal of Physics G-Nuclear and Particle Physics, 27:10 (2001), 2037