Examples



mdbootstrap.com



 
Статья
2019

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


A. S. TkachenkoA. S. Tkachenko, N. A. BurkovaN. A. Burkova, S. B. DubovichenkoS. B. Dubovichenko
Российский физический журнал
https://doi.org/10.1007/s11182-019-01811-y
Abstract / Full Text

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.

Author information
  • 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 Kazakhstan, Almaty, KazakhstanA. S. Tkachenko & S. B. Dubovichenko
  • Al Farabi Kazakh National University, Ministry of Education and Science of the Republic of Kazakhstan, Almaty, KazakhstanA. S. Tkachenko, N. A. Burkova & S. B. Dubovichenko
References
  1. S. B. Dubovichenko, Methods of Calculation of Nuclear Characteristics: Nuclear and Thermonuclear Processes, Lambert Academic Publishing, Saarbrücken (2012); https://www.lappublishing.com/catalog/details//store/ru/book/978-3-659-21137-9/методы-расчета-ядерных-характеристик (in Russian).
  2. S. Flugge, ed., Encyclopedia of Physics. Vol. XLI/1. Nuclear Reactions II: Theory, Springer Verlag, Berlin (1959).
  3. N. K. Glendenning, Direct Nuclear Reactions, World Scientific, Singapore (2004).
  4. J. R. Taylor, Scattering Theory: Quantum Theory of Nonrelativistic Collisions, Dover Publications, Mineola (1972).
  5. K. Blum, Density Matrix Theory and Its Applications, Plenum Publishing, New York (1981).
  6. P. E. Hodgson, The Optical Model of Elastic Scattering, Clarendon Press, Oxford (1963).
  7. A. S. Tkachenko, N. A. Burkova, and S. B. Dubovichenko, Russ. Phys. J., 62, No. 2, 232–241 (2019).
  8. S. B. Dubovichenko, Phase Shifts Analysis in Nuclear Astrophysics [in Russian], Lambert Academic Publishing, Saarbrücken (2015); https://www.morebooks.de/store/ru/book/Фазовый-анализ/isbn/978-3-659-70629-5.
  9. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum and Its Applications, Vol. 1, Fizmatlit, Moscow (2017).
  10. U. Fischer, J. Nucl. Mater., 367–370, 1531–1536 (2007).
  11. V. M. Krasnopolskiy, Nucl. Fusion, 28, No. 12, 2135–2140 (1988).
  12. V. I. Kukulin, Nucl. Phys., 10, L213–L219 (1984).