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Asymptotics of the binary amplitude for a model Faddeev equation

  • Proceedings of the LXV International Conference “Nuclei 2015: New Horizons in Nuclear Physics, Nuclear Power Engineering, and Femto- and Nanotechnologies” (LXV International Meeting on Nuclear Spectroscopy and the Structure of Atomic Nuclei)
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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A model equation obtained from the s-wave Faddeev equation in configuration space for three identical bosons by replacing the inhomogeneous integral term with a known function is studied. This function simulates the asymptotic decrease of the inhomogeneous term in the original Faddeev equation when y → ∞ as ∼y –3/2. The asymptotes of the amplitude functions that approach the scattering amplitudes when y → ∞ are obtained analytically for the model equation using the Green function. It is shown that the asymptotics of the binary channel amplitude function oscillates. The similar oscillating behavior of the binary amplitude function is numerically demonstrated for the original s-wave Faddeev equation describing the neutron–deuteron scattering process.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, 199034, Russia

    P. A. Belov & S. L. Yakovlev

Authors
  1. P. A. Belov
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  2. S. L. Yakovlev
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Correspondence to P. A. Belov.

Additional information

Original Russian Text © P.A. Belov, S.L. Yakovlev, 2016, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2016, Vol. 80, No. 3, pp. 266–270.

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Belov, P.A., Yakovlev, S.L. Asymptotics of the binary amplitude for a model Faddeev equation. Bull. Russ. Acad. Sci. Phys. 80, 237–241 (2016). https://doi.org/10.3103/S1062873816030060

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  • DOI: https://doi.org/10.3103/S1062873816030060

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