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

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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 3, Pages 393–410
DOI: https://doi.org/10.4213/tmf1908 (Mi tmf1908)

This article is cited in 13 scientific papers (total in 13 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

Full-text PDF (608 kB) Citations (13)

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

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}

$L_2$ basis.

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

Received: 10.03.2005

English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 3, Pages 1711–1726
DOI: https://doi.org/10.1007/s11232-005-0193-8

Bibliographic databases:

Language: Russian

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

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Linking options:

https://www.mathnet.ru/eng/tmf1908

https://doi.org/10.4213/tmf1908

https://www.mathnet.ru/eng/tmf/v145/i3/p393

This publication is cited in the following 13 articles:

Miller S.B.S. Ekstrom A. Forssen Ch., “Wave-Packet Continuum Discretisation For Nucleon-Nucleon Scattering Predictions”, J. Phys. G-Nucl. Part. Phys., 49:2 (2022), 024001
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
Rubtsova O.A., Kukulin V.I., Pomerantsev V.N., “Wave-Packet Continuum Discretization For Quantum Scattering”, Ann. Phys., 360 (2015), 613–654
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
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
JETP Letters, 90:5 (2009), 402–406
Rubtsova, OA, “Quantum scattering theory on the momentum lattice”, Physical Review C, 79:6 (2009), 064602
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
O. A. Rubtsova, V. I. Kukulin, V. N. Pomerantsev, “Microscopic theory of nuclear reactions based on the wave-packet technique”, Bull. Russ. Acad. Sci. Phys., 73:6 (2009), 750
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
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
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
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

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

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