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Teoreticheskaya i Matematicheskaya Fizika, 1978, Volume 35, Number 2, Pages 180–192 (Mi tmf2897)  

This article is cited in 26 scientific papers (total in 26 papers)

Intergral equations for three particles with Coulomb long-range interaction

A. M. Veselova
References:
Abstract: A study is made of the scattering of a charged particle on a charged bound state of two other particles below the ionization threshold (elastic scattering, scattering with excitation and rearrangement). A Fredholm system of integral equations is obtained. Auxiliary screening of the Coulomb potential is not used in the method.
Received: 14.07.1977
English version:
Theoretical and Mathematical Physics, 1978, Volume 35, Issue 2, Pages 395–402
DOI: https://doi.org/10.1007/BF01039110
Language: Russian
Citation: A. M. Veselova, “Intergral equations for three particles with Coulomb long-range interaction”, TMF, 35:2 (1978), 180–192; Theoret. and Math. Phys., 35:2 (1978), 395–402
Citation in format AMSBIB
\Bibitem{Ves78}
\by A.~M.~Veselova
\paper Intergral equations for three particles with Coulomb long-range interaction
\jour TMF
\yr 1978
\vol 35
\issue 2
\pages 180--192
\mathnet{http://mi.mathnet.ru/tmf2897}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 35
\issue 2
\pages 395--402
\crossref{https://doi.org/10.1007/BF01039110}
Linking options:
  • https://www.mathnet.ru/eng/tmf2897
  • https://www.mathnet.ru/eng/tmf/v35/i2/p180
  • This publication is cited in the following 26 articles:
    1. R. Combescot, “Trion ground-state energy: Simple results”, Phys. Rev. B, 100:24 (2019)  crossref
    2. S Oryu, T Watanabe, Y Hiratsuka, A Kodama, Y Togawa, M Takeda, “A new horizon of Few-Body Problems: Exact Coulomb treatment and the energy-momentum translation of the three-body Faddeev equation”, J. Phys.: Conf. Ser., 915 (2017), 012001  crossref
    3. Takashi Watanabe, Yasuhisa Hiratsuka, Shinsho Oryu, Yoshio Togawa, “A New Feature of the Screened Coulomb Potential in Momentum Space”, Few-Body Syst, 58:2 (2017)  crossref
    4. Yasuhisa Hiratsuka, Shinsho Oryu, Shuichi Gojuki, “D(p,p)D elastic scattering with rigorous Coulomb treatment”, J. Phys. G: Nucl. Part. Phys., 40:2 (2013), 025106  crossref
    5. V. S. Buslaev, Ya. Yu. Koptelov, S. B. Levin, D. A. Strygina, “Numerical construction of the continuous spectrum Eigenfunctions of the three body Schrödinger operator: Three particles on the axis with short-range pair potentials”, Phys. Atom. Nuclei, 76:2 (2013), 208  crossref
    6. S Oryu, Y Hiratsuka, S Nishinohara, S Chiba, “Proton–proton phase shifts calculations in momentum space by a rigorous Coulomb treatment”, J. Phys. G: Nucl. Part. Phys., 39:4 (2012), 045101  crossref
    7. S. Oryu, S. Nishinohara, N. Shiiki, S. Chiba, “Coulomb phase shift calculation in momentum space”, Phys. Rev. C, 75:2 (2007)  crossref
    8. Shinsho Oryu, “Two- and three-charged-particle nuclear scattering in momentum space: A two-potential theory and a boundary condition model”, Phys. Rev. C, 73:5 (2006)  crossref
    9. Pupyshev, VV, “Spline-function methods in few-body problem”, Physics of Particles and Nuclei, 35:2 (2004), 145  isi
    10. A. M. Mukhamedzhanov, E. O. Alt, G. V. Avakov, “Momentum space integral equations for three charged particles. II. Diagonal kernels”, Phys. Rev. C, 63:4 (2001)  crossref
    11. Yu. A. Kuperin, S. B. Levin, “Extension theory approach to scattering and annihilation in the p¯d system”, Theoret. and Math. Phys., 118:1 (1999), 60–76  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    12. E. O. Alt, A. M. Mukhamedzhanov, “Long-range behavior of the optical potential for the elastic scattering of charged composite particles”, Phys. Rev. A, 51:5 (1995), 3852  crossref
    13. E O Alt, A S Kadyrov, A M Mukhamedzhanov, M Rauh, ““Triangle” diagram with off-shell Coulomb T-matrix for (in-)elastic atomic and nuclear three-body processes”, J. Phys. B: At. Mol. Opt. Phys., 28:23 (1995), 5137  crossref
    14. Gy. Bencze, P. Doleschall, C. Chandler, A. G. Gibson, D. Walliser, “Three-body problem with charged particles”, Phys. Rev. C, 43:3 (1991), 992  crossref
    15. Stefan Knabe, “Generalization of the Faddeev equations to long-range potentials”, Annals of Physics, 181:1 (1988), 54  crossref
    16. L. P. Kok, Lecture Notes in Physics, 273, Models and Methods in Few-Body Physics, 1987, 517  crossref
    17. E.O. Alt, W. Sandhas, H. Ziegelmann, “Calculation of proton-deuteron phase parameters including the coulomb force”, Nuclear Physics A, 445:3 (1985), 429  crossref
    18. D. R. Lehman, A. Eskandarian, B. F. Gibson, L. C. Maximon, “Momentum-space solution of a bound-state nuclear three-body problem with two charged particles”, Phys. Rev. C, 29:4 (1984), 1450  crossref
    19. W. Schmidt, O. Bohn, H. Brückmann, E. Filos, D. Gola, C. Heinrich, K. Wick, “Charge dependence of the total nucleon-deuteron reaction cross section”, Nuclear Physics A, 423:1 (1984), 1  crossref
    20. J. Dušek, “Two singular integrals containing a partial wave of the two-body coulomb T-matrix”, Czech J Phys, 32:11 (1982), 1195  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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