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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 221, Number 1, Pages 176–188
DOI: https://doi.org/10.4213/tmf10760 (Mi tmf10760) 		 
Asymptotic solutions of the quantum scattering problem for binary collisions in a system of three charged particles. The inclusion of the dipole interaction

V. A. Gradusov, S. L. Yakovlev

St. Petersburg State University, St. Petersburg, Russia
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DOI: https://doi.org/10.4213/tmf10760
Abstract: We construct asymptotic solutions of the binary scattering problem in a three-particle system with the Coulomb interaction; the solutions explicitly take the induced dipole interaction between a free particle and a bound pair of particles into account in each of the possible configurations. Using these solutions, we formulate boundary conditions for the scattering problem in the system of three charged particles for energies that are below the ionization threshold.
Keywords: scattering in a three-particle system, binary collisions, induced dipole interaction.
Funding agency Grant number
Russian Science Foundation 23-22-00109
This work was carried out in the framework of the Russian Science Foundation project No. 23-22-00109 using the equipment of the Resource Center “Computer Center SPbU” (http://cc.spbu.ru).
Received: 17.05.2024
Revised: 17.05.2024
Published: 11.10.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 221, Issue 1, Pages 1744–1755
DOI: https://doi.org/10.1134/S0040577924100106
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Gradusov, S. L. Yakovlev, “Asymptotic solutions of the quantum scattering problem for binary collisions in a system of three charged particles. The inclusion of the dipole interaction”, TMF, 221:1 (2024), 176–188; Theoret. and Math. Phys., 221:1 (2024), 1744–1755
Citation in format AMSBIB
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