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Perturbation theory in the scattering problem for a three-particle system

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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.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    V. A. Gradusov & S. L. Yakovlev

Authors
  1. V. A. Gradusov
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  2. S. L. Yakovlev
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Corresponding author

Correspondence to S. L. Yakovlev.

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Dedicated to the memory of L. D. Faddeev

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).

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 191, No. 1, pp. 63–77, April, 2017.

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Gradusov, V.A., Yakovlev, S.L. Perturbation theory in the scattering problem for a three-particle system. Theor Math Phys 191, 524–536 (2017). https://doi.org/10.1134/S0040577917040055

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