Analytical expressions for the elastic scattering differential cross sections of nonidentical nuclear particles with the channel spin 1 and 2 | Izvestiya vuzov. Fizika. 2019. № 6. DOI: 10.17223/00213411/62/6/104

Analytical expressions for the elastic scattering differential cross sections of nonidentical nuclear particles with the channel spin 1 and 2

Analytical expressions for calculating elastic scattering differential cross sections of two particles for channels with integer spin values 1 and 2. Formulas are obtained taking into account the spin-orbit interactions and parametrized relative to the orbital quantum number l , which allows to perform calculations for any necessary number of partial waves and also estimate the relative contribution of each of the partial sections.

Download file

Counter downloads: 105

Keywords

low and astrophysical energies, light atomic nuclei, nuclear astrophysics, high-spin states, phase shift analysis, systems of particles with the spin structure 1 + 1, 1/2 + 3/2, elastic scattering, низкие и астрофизические энергии, легкие атомные ядра, ядерная астрофизика, высокоспиновые состояния, фазовый анализ, системы нетождественных частиц со спином канала 1 и 2, упругое рассеяние

Authors

Name	Organization	E-mail
Tkachenko A.S.	Fesenkov Astrophysical Institute «NCSRT» ASA MDAI RK; Kazakh National University named after Al-Farabi MES RK	tkachenko.alessya@gmail.com
Burkova N.A.	Kazakh National University named after Al-Farabi MES RK	natali.burkova@gmail.com
Dubovichenko S.B.	Fesenkov Astrophysical Institute «NCSRT» ASA MDAI RK; Kazakh National University named after Al-Farabi MES RK	dubovichenko@mail.ru

Всего: 3

References

Kukulin V.I. // Nucl. Phys. - 1984. - V. 10. - P. L213-L219.

Krasnopolskiy V.M. // Nucl. Fusion. - 1988. - V. 28. - No. 12.- P. 2135-2140.

Fischer U. // J. Nucl. Mater. - 2007. - V. 367-370. - P. 1531-1536.

Varshalovich D.A., Moskalev A.N., and Khersonskii V.K. Quantum Theory of Angular Momentum and its Applications. V. 1. - M.: Fizmatlit, 2017. - 568 p.

Dubovichenko S.B. Phase Shifts Analysis in Nuclear Astrophysics. - Germany, Saarbrucken: Lambert Academy Publ. GmbH&Co. KG, 2015. - 368 p.; https://www.morebooks.de/store/ru/book/Фазовый-анализ/isbn/978-3-659-70629-5 (in Russian).

Ткаченко А.С., Буркова Н.А., Дубовиченко С.Б. // Изв. вузов. Физика. - 2019. - Т. 62. - № 2. - С. 46-53.

Hodgson P.E. The Optical Model of Elastic Scattering. - Oxford: Clarendon Press, 1963. - 211 p.

Blum K. Density Matrix Theory and its Application. - N.Y., 1996. - 323 p.

Glendenning N.K. Direct Nuclear Reactions. - World Scientific Ltd., 2004. - 285 p.

Taylor J.R. Scattering Theory: Quantum Theory of Nonrelativistic Collisions. - N.Y., 1972. - 497 p.

Encyclopedia of Physics. V. XLI / 1. Nuclear Reactions II: Theory / ed. S. Flugge. - Berlin: Springer Verlag, 1959. - 586 p.

Dubovichenko S.B. Methods of Calculation of Nuclear Characteristics: Nuclear and Thermonuclear Processes. Second Russian Edition, corrected and enlarged. - Germany, Saarbrucken: Lambert Acad. Publ. GmbH&Co. KG, 2012. - 432 p.; https://www.lap-publishing.com/catalog/details//store/ru/book/978-3-659-21137-9/методы-расчета-ядерных-характеристик (in Russian).