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TMF, 2005, Volume 145, Number 3, Pages 393–410 (Mi tmf1908)  

This article is cited in 11 scientific papers (total in 11 papers)

Solving the Charged-Particle Scattering Problem by Wave Packet Continuum Discretization

V. I. Kukulin, O. A. Rubtsova

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Abstract: We generalize our previously developed packet continuum discretization method to take the long-range Coulomb repulsion in the charged-particle interaction into account. We derive an analytic finite-dimensional approximation for the exact Coulomb resolvent in the basis of stationary Coulomb wave packets. In the suggested approach, determining the so-called additional partial scattering phase shifts that appear because of the additional short-range interaction reduces to simple matrix algebra, and the related calculations can be performed using an arbitrary complete $L_2$ basis.

Keywords: quantum scattering theory, wave packets, continuum discretization, computational methods

DOI: https://doi.org/10.4213/tmf1908

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English version:
Theoretical and Mathematical Physics, 2005, 145:3, 1711–1726

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Received: 10.03.2005

Citation: V. I. Kukulin, O. A. Rubtsova, “Solving the Charged-Particle Scattering Problem by Wave Packet Continuum Discretization”, TMF, 145:3 (2005), 393–410; Theoret. and Math. Phys., 145:3 (2005), 1711–1726

Citation in format AMSBIB
\by V.~I.~Kukulin, O.~A.~Rubtsova
\paper Solving the Charged-Particle Scattering Problem by Wave Packet Continuum Discretization
\jour TMF
\yr 2005
\vol 145
\issue 3
\pages 393--410
\jour Theoret. and Math. Phys.
\yr 2005
\vol 145
\issue 3
\pages 1711--1726

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  • http://mi.mathnet.ru/eng/tmf/v145/i3/p393

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    This publication is cited in the following articles:
    1. V. I. Kukulin, V. N. Pomerantsev, O. A. Rubtsova, “Wave-packet continuum discretization method for solving the three-body scattering problem”, Theoret. and Math. Phys., 150:3 (2007), 403–424  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. Rubtsova OA, Kukulin VI, “Wave-packet discretization of a continuum: Path toward practically solving few-body scattering problems”, Physics of Atomic Nuclei, 70:12 (2007), 2025–2045  crossref  adsnasa  isi  scopus  scopus
    3. Kukulin VI, Rubtsova OA, “Elastic scattering on a nucleus and the breakup of the composite projectile via wave-packet continuum discretization”, Physical Review C, 76:4 (2007), 047601  crossref  adsnasa  isi  elib  scopus  scopus
    4. Rubtsova OA, Kukulin VI, Moro AM, “Continuum discretization methods in a composite particle scattering off a nucleus: Benchmark calculations”, Physical Review C, 78:3 (2008), 034603  crossref  adsnasa  isi  elib  scopus  scopus
    5. JETP Letters, 90:5 (2009), 402–406  mathnet  crossref  isi  elib
    6. Rubtsova, OA, “Quantum scattering theory on the momentum lattice”, Physical Review C, 79:6 (2009), 064602  crossref  adsnasa  isi
    7. Pomerantsev V.N., Kukulin V.I., Rubtsova O.A., “Solving three-body scattering problems in the momentum lattice representation”, Physical Review C, 79:3 (2009), 034001  crossref  adsnasa  isi  elib  scopus  scopus
    8. Kukulin V.I., Rubtsova O.A., “Modern Approaches for the Theoretical Description of Multiparticle Scattering and Nuclear Reactions”, Phys. Atom. Nuclei, 75:11 (2012), 1373–1387  crossref  adsnasa  isi  elib  scopus  scopus
    9. Rubtsova O.A., Kukulin V.I., Pomerantsev V.N., “Solution To the Multichannel Scattering Problem Via the Discrete Spectral Shift Formalism”, Phys. Atom. Nuclei, 77:4 (2014), 486–495  crossref  adsnasa  isi  scopus  scopus
    10. Rubtsova O.A., Kukulin V.I., Pomerantsev V.N., “Wave-Packet Continuum Discretization For Quantum Scattering”, Ann. Phys., 360 (2015), 613–654  crossref  mathscinet  isi  elib  scopus  scopus
    11. Sailaubek D.A., Rubtsova O.A., Kukulin V.I., “Charged Particle Scattering Problem With a Complex-Range Gaussian Basis”, Eur. Phys. J. A, 54:7 (2018), 126  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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