O. I. Gerasimov, A. G. Sitenko, “Scattering of charged particles by a multicenter potential”, TMF, 99:1 (1994), 81–91; Theoret. and Math. Phys., 99:1 (1994), 441

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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 1, Pages 81–91 (Mi tmf1568)

This article is cited in 9 scientific papers (total in 9 papers)

Scattering of charged particles by a multicenter potential

O. I. Gerasimov^a, A. G. Sitenko^b

^a N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine
^b National Taras Shevchenko University of Kyiv

Full-text PDF (1096 kB) Citations (9)

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Abstract: Exact expressions are obtained for the amplitude and elastic cross section in the case of scattering of charged particles by a multicenter pseudopotential that includes the Coulomb potential and an arbitrary number of short-range potentials (modeled by zero-range potentials). Asymptotic limits are calculated and explicit expressions are found for the amplitudes of scattering by few-nucleon complexes modeled by superpositions of the Coulomb potential and purely point potentials.

Received: 29.09.1992
Revised: 27.07.1993

English version:
Theoretical and Mathematical Physics, 1994, Volume 99, Issue 1, Pages 441–448
DOI: https://doi.org/10.1007/BF01018798

Bibliographic databases:

Language: Russian

Citation: O. I. Gerasimov, A. G. Sitenko, “Scattering of charged particles by a multicenter potential”, TMF, 99:1 (1994), 81–91; Theoret. and Math. Phys., 99:1 (1994), 441–448

Citation in format AMSBIB

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\pages 81--91

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\jour Theoret. and Math. Phys.

\yr 1994

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\pages 441--448

\crossref{https://doi.org/10.1007/BF01018798}

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https://www.mathnet.ru/eng/tmf1568

https://www.mathnet.ru/eng/tmf/v99/i1/p81

This publication is cited in the following 9 articles:

Fu-Wei Sun, Jiu-Xian Cai, Yi-Tian Gao, “Analytic localized solitonic excitations for the (2+1)-dimensional variable-coefficient breaking soliton model in fluids and plasmas”, Nonlinear Dyn, 70:3 (2012), 1889
Engui Fan, Kwok Wing Chow, “Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation”, Journal of Mathematical Physics, 52:2 (2011)
Hao Hong-Hai, Zhang Da-Jun, Zhang Jian-Bing, Yao Yu-Qin, “Rational and Periodic Solutions for a (2+1)-Dimensional Breaking Soliton Equation Associated with ZS-AKNS Hierarchy”, Commun. Theor. Phys., 53:3 (2010), 430
V Yu Lazur, M V Khoma, R K Janev, “Partial expansion of the two-centre Coulomb Green's function for theeZZsystem”, J. Phys. B: At. Mol. Opt. Phys., 37:6 (2004), 1245
Yishen Li, Wen-Xiu Ma, “A nonconfocal involutive system and constrained flows associated with the MKdV- equation”, Journal of Mathematical Physics, 43:10 (2002), 4950
Yishen Li, Chunli Chen, “The motion of surfaces in geodesic coordinates and 2+1-dimensional breaking soliton equation”, Journal of Mathematical Physics, 41:4 (2000), 2066
Yi-Tian Gao, Bo Tian, “On a generalized breaking soliton equation”, Chaos, Solitons & Fractals, 8:6 (1997), 897
Peter A Clarkson, Pilar R Gordoa, Andrew Pickering, “Multicomponent equations associated to non-isospectral scattering problems”, Inverse Problems, 13:6 (1997), 1463
Bo Tian, Yi-Tian Gao, “Auto-Bäcklund transformation and two families of analytical solutions to the (2 + 1)-dimensional soliton breaking equation”, Physics Letters A, 212:5 (1996), 247

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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