Soviet Physics Journal

, Volume 16, Issue 7, pp 956–959 | Cite as

On two-sided estimates of the particle scattering amplitude by a potential and the amplitudes of multichannel processes

  • V. S. Gur'yanov
Article
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Abstract

Functions permitting two-sided estimates to be obtained for the real and imaginary parts of the particle scattering amplitude by a nonspherical potential and for the amplitudes of multichannel processes are considered. To diminish the interval between the two estimates it is proposed to use Schwinger iteration of the test functions, whose multiparticle generalization permits estimation of the error in the approximation of P-coupled channels and the approximate assignment of the wave functions and the energy of the internal motion.

Keywords

Wave Function Imaginary Part Internal Motion Multichannel Process Multiparticle Generalization 

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Literature cited

  1. 1.
    N. Mott and H. Massey, Theory of Atomic Collisions [Russian translation], Mir (1969),Google Scholar
  2. 2.
    S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Fizmatgiz (1970).Google Scholar
  3. 3.
    Yu. N. Demkov, Variational Principles in Collision Theory [in Russian], Fizmatgiz (1958).Google Scholar
  4. 4.
    A. S. Davydov, Theory of the Atomic Nucleus [in Russian], Fizmatgiz (1958).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • V. S. Gur'yanov
    • 1
  1. 1.N. G. Chernyshevskii Saratov State UniversityUSSR

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