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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 191, Number 1, Pages 63–77
DOI: https://doi.org/10.4213/tmf9166 (Mi tmf9166) 		 
Perturbation theory in the scattering problem for a three-particle system

V. A. Gradusov, S. L. Yakovlev

St. Petersburg State University, St.  Petersburg, Russia
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DOI: https://doi.org/10.4213/tmf9166
Abstract: We consider the scattering problem for a system of three nonrelativistic particles in the case of energies below the threshold of the system breakup into three free particles. We assume that the interaction potentials can be represented as a sum of two terms, one of which is a small perturbation. We develop a perturbation theory scheme for solving the scattering problem based on the three-particle Faddeev equations.
Keywords: perturbation theory, continuous spectrum, three-particle scattering problem.
Funding agency Grant number
Saint Petersburg State University 11.38.241.2015
Russian Foundation for Basic Research 14-02-00326
This research is supported by St. Petersburg State University (Grant No. 11.38.241.2015) and the Russian Foundation for Basic Research (Grant No. 14-02-00326).
Received: 16.02.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 191, Issue 1, Pages 524–536
DOI: https://doi.org/10.1134/S0040577917040055
Bibliographic databases:
Language: Russian
Citation: V. A. Gradusov, S. L. Yakovlev, “Perturbation theory in the scattering problem for a three-particle system”, TMF, 191:1 (2017), 63–77; Theoret. and Math. Phys., 191:1 (2017), 524–536
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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