V. L. Shablov, V. A. Bilyk, Yu. V. Popov, “Status of the CCC method within the frame of the rigorous many-body Coulomb scattering theory”, Fundam. Prikl. Mat., 8:1 (2002), 281

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Fundamentalnaya i Prikladnaya Matematika, 2002, Volume 8, Issue 1, Pages 281–287 (Mi fpm643)

Status of the CCC method within the frame of the rigorous many-body Coulomb scattering theory

V. L. Shablov^a, V. A. Bilyk^a, Yu. V. Popov^b

^a Obninsk State Technical University for Nuclear Power Engineering
^b M. V. Lomonosov Moscow State University

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Abstract: The convergent close-coupling method (CCC), which is now widely used for calculations of charged particles scattering amplitudes, is considered from the viewpoint of the rigorous many-body Coulomb scattering theory. It is shown that the approximate scattering amplitude calculated within the frame of the method does not converge to a solution of the Lippmann–Schwinger equation.

Received: 01.01.2001

Bibliographic databases:

UDC: 521.13

Language: Russian

Citation: V. L. Shablov, V. A. Bilyk, Yu. V. Popov, “Status of the CCC method within the frame of the rigorous many-body Coulomb scattering theory”, Fundam. Prikl. Mat., 8:1 (2002), 281–287

Citation in format AMSBIB

\Bibitem{ShaBilPop02}

\by V.~L.~Shablov, V.~A.~Bilyk, Yu.~V.~Popov

\paper Status of the CCC method within the frame of the rigorous many-body Coulomb scattering theory

\jour Fundam. Prikl. Mat.

\yr 2002

\vol 8

\issue 1

\pages 281--287

\mathnet{http://mi.mathnet.ru/fpm643}

\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1920452}

\zmath{https://zbmath.org/?q=an:1050.81068}

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https://www.mathnet.ru/eng/fpm/v8/i1/p281

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