Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

Full text (en)

A. V. Mikhailov¹, Yu. N. Pavlenko², V. L. Shablov¹, A. V. Stepaniuk², I. A. Tyras<sup>1

1</sup>Obninsk Institute for Nuclear Power Engineering, National Research Nuclear University MePHI, Obninsk, Russia
²Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Abstract: The modified final-state interaction theory taking into consideration the Coulomb interaction between two-fragment nuclear resonance decay products and accompanying reaction products is developed including the case of near-threshold resonances. The branching ratio change is also studied for the near-threshold resonance ⁷Li^*(E_x = 7.45 MeV), which is formed in the reaction ⁷Li(α, α)⁷Li^* at E_α = 27.2 MeV.

Keywords: three-particle reactions, nuclear resonances, resonance theory, Coulomb interaction, near-threshold resonances, decay channels, branching ratio.

1. Komarov V. V., Green A. M., Popova A. M., Shablov V. L. Coulomb and Nuclear Field Effects on Two-Body Resonances. Modern Phys. Lett. A 2 (1987) 81. https://doi.org/10.1142/S0217732387000124

2. Kuchiev M. Yu., Sheinerman S. A. Resonance processes with three charged particle in the final state. Zh. Eksp. Teor. Fiz. 90 (1986) p. 1680.

3. Ashurov A. R., Zubarev D. A., Mukhamedzhanov A. M., Yarmukhamedov R. Reactions with three charged particles and a resonance in the intermediate state. Sov. J. Nucl. Phys. 53 (1991) p. 97.

4. Komarov V. V., Popova A. M., Karmanov F. I. et al. Scattering properties of two-fragment systems produced by many-particle reactions. Phys. of Elem. Part. and Atom. Nucl. 23 (1992) p. 1035.

5. Nemetz O. F., Popova A. M., Komarov V. V. et al. Change in the scattering properties of two-fragment nuclear systems in many-particle nuclear reactions. Izv. Akad. Nauk SSSR: Ser. Fiz. 54 (1990) p. 942.

6. Pugatch V. M., Kozir Yu. E., Medvedev V. I. et at. Quantum characteristics of short lived states of ⁸Be excited in binary and three-particle reactions. Izv. Akad. Nauk SSSR: Ser. Fiz. 49 (1985) p. 905.

7. Fazio G., Giardina G., Karmanov F. I., Shablov V. L. Properties of the Resonance Scattering in Two-Fragment Systems Formed in Many-Particle Nuclear Reactions. Int. J. Mod. Phys. E 5 (1996) 175. https://doi.org/10.1142/S0218301396000086

8. Shablov V. L., Tyras I. A. Modeling the dynamics of the final state interaction in nuclear reactions with charged particles. Izvestia Visshikh Uchebnikh Zavedeniy. Yadernaya Energetika 3 (2007) p. 127.

9. Nemets O. F., Pavlenko Yu. N., Shablov V. L. et al. Angular correllations and decay branching ratio for excited state of ⁷Li^*(7.45 MeV) in reactions ⁷Li(α, α)⁷Li^*. Nucl. Phys. At. Energy 1 (2007) 36. http://jnpae.kinr.kiev.ua/19(1)/Articles_PDF/jnpae-2007-1(19)-0036-Nemets.pdf

10. Komarov V. V., Popova A. M., Shablov V. L. Dynamics of Few Quantum Particle Systems (Moscow: Moscow University, 1996) 334 p.

11. Pavlenko Yu. N. The method of branching ratio measurements for nuclear unbound states produced by three particle reactions. Problems of Atomic Science and Technology. Ser. Nucl. Phys. Inv. 6 (2005) p. 11.

12. Shablov V. L., Bilyk V. A., Popov Yu. V. Cook's method in the problem of the many-body Coulomb wave operator convergence. Fundamental and Applied Mathematics 8 (2002) 559.

13. Peterkop R. K. Theory of Ionization of Atoms (Boulder: Colorado Associated University Press, 1977) 263 p.

14. Nordsieck A. Reduction of an Integral in the Theory of Bremsstrahlung. Phys. Rev. 93 (1954) 785. https://doi.org/10.1103/PhysRev.93.785

15. Wildermuth K., Tang Y. C. A United Theory of Nuclei (Мoscow: Мir, 1980) 502 p. (Rus).

16. Nikitiu N. Phase-Shift Analysis in Physics of Nuclear Interactions (Moscow: Mir, 1983) 416 p.

17. Pavlenko Yu. N., Shablov V. L., Bondarenko O. S. et al. Space distributions and decay probability for excited state of ⁷Li^*(7.45 MeV) in reaction ⁷Li(α, α⁶Li)n. Nucl. Phys. At. Energy 20 (2007) 65. http://jnpae.kinr.kiev.ua/20(2)/Articles_PDF/jnpae-2007-2(20)-0065-Pavlenko.pdf

18. Smith A.B., Guenther P.T., Whalen J.F. Neutron total and scattering cross sections of ⁶Li in the low-MeV range. Nucl. Phys. A 373 (1982) 305. https://doi.org/10.1016/0375-9474(82)90153-1

19. Reed M., Simon B. Methods of Modern Mathematical Physics IV: Analysis of Operators (New York, San Francisco, London: Academic Press, 1978) 404 p.

20. Pavlenko Yu. N., Dobrikov V. N., Doroshko N. L. et al. Decay properties of short lived resonances of light nuclei in many-particle nuclear reactions. Int. J. of Mod. Phys. E 19 (2010) 1220. https://doi.org/10.1142/S0218301310015709

21. Merkuriev S. P., Faddeev L. D. Quantum Scattering Theory for Few Particle Systems (Moscow: Nauka, 1985) 400 p.

22. Shablov V. L., Bilyk V. A., Popov Yu. V. The momentum representation of the two-body Coulomb Green’s function. J. Phys. IV (France) 9 (1999) 65. https://doi.org/10.1051/jp4:1999615

23. Baz’ A. I., Zel’dovich Ya. B., Perelomov A. M. Scattering, Reactions, Decays in Nonrelativistic Quantum Mechanics (Moscow: Nauka, 1971) 544 p.