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Analytical Expressions for the Differential Elastic Scattering Cross Sections of Nonidentical Nuclear Particles with Channel Spin 1 and 2

  • A. S. TkachenkoEmail author
  • N. A. Burkova
  • S. B. Dubovichenko
Article

Analytical expressions for calculation of the differential elastic scattering cross sections of two particles for channels with integer value of the spin equal to 1 and 2 are given. Formulas are obtained which take into account spin-orbit splitting, and are also parameterized with respect to the orbital quantum number l, which makes it possible to calculate the total cross section for any required number of partial waves, and also to estimate the relative contribution of each of the partial cross sections.

Keywords

elastic scattering systems of nonidentical particles with channel spin 1 and 2 phase shift analysis high-spin states nuclear astrophysics light atomic nuclei low and astrophysical energies 

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • A. S. Tkachenko
    • 1
    • 2
    Email author
  • N. A. Burkova
    • 2
  • S. B. Dubovichenko
    • 1
    • 2
  1. 1.V. G. Fesenkov Astrophysical Institute of the National Center for Space Research and Technology of the Aerospace Agency of the Ministry of Digital Development, Innovation and the Aerospace Industry of the Republic of KazakhstanAlmatyKazakhstan
  2. 2.Al Farabi Kazakh National University, Ministry of Education and Science of the Republic of KazakhstanAlmatyKazakhstan

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