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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 193, Number 2, Pages 225–255
DOI: https://doi.org/10.4213/tmf9270 (Mi tmf9270) 		 
Two-dimensional nuclear Coulomb scattering of a slow quantum particle

V. V. Pupyshev

Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
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DOI: https://doi.org/10.4213/tmf9270
Abstract: We study two-dimensional scattering of a quantum particle by the superposition of a Coulomb potential and a central short-range potential. We analyze the low-energy asymptotic behavior of all radial wave functions, partial phases, and scattering cross sections of such a particle. We propose two approaches for evaluating the scattering length and the effective radius.
Keywords: two-dimensional scattering, superposition of Coulomb and central short-range potentials, low-energy asymptotic behavior, scattering length, effective radius.
Received: 05.09.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 2, Pages 1602–1629
DOI: https://doi.org/10.1134/S0040577917110046
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Pupyshev, “Two-dimensional nuclear Coulomb scattering of a slow quantum particle”, TMF, 193:2 (2017), 225–255; Theoret. and Math. Phys., 193:2 (2017), 1602–1629
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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