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Two-dimensional low-energy scattering of a quantum particle in the summed field of Coulomb and power-law potentials

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Abstract

We study the two-dimensional scattering of a quantum particle by the force center acting on this particle via a superposition of a Coulomb potential and a power-law potential V0r−β with the exponent β ∈ (1,2). We find the explicit low-energy asymptotic forms of all partial phases and scattering amplitudes.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

    V. V. Pupyshev

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  1. V. V. Pupyshev
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Correspondence to V. V. Pupyshev.

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Conflicts of interest. The author declares no conflicts of interest.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 203, No. 2, pp. 280–299, May, 2020.

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Pupyshev, V.V. Two-dimensional low-energy scattering of a quantum particle in the summed field of Coulomb and power-law potentials. Theor Math Phys 203, 673–690 (2020). https://doi.org/10.1134/S0040577920050098

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  • DOI: https://doi.org/10.1134/S0040577920050098

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