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, Russian   Periodicity: 4 times per year   Open access peer reviewed journal

Full text (ua)

S.Yu. Mezhevych^1,*, A.T. Rudchik¹, K. Rusek², K.W. Kemper³, A.A. Rudchik¹, O.A. Ponkratenko¹, S.B. Sakuta<sup>4

1</sup> Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine
² Heavy Ion Laboratory, University of Warsaw, Warsaw, Poland
³ Physics Department, Florida State University, Tallahassee, USA
⁴ Russian Research Center "Kurchatov Institute", Moscow, Russia

^*Corresponding author. E-mail address: sermezhev@gmail.com

Abstract: New experimental data for differential cross-sections of the reaction ¹⁴C(¹¹B,¹⁰B)¹⁵C at Е_lab(¹¹B) = 45 MeV were obtained for transitions to the ground and excited states of the exit reaction channel nuclei. The experimental data were analyzed within the coupled-reaction-channels method (CRC). The ¹⁴C + ¹¹B elastic scattering channel as well as channels for one- and two-step transfers of nucleons and clusters were included in the coupling scheme. The Woods - Saxon (WS) potential was used in the CRC-calculations for the entrance reaction channel with the parameters deduced previously from the analysis of the experimental data of ¹¹B + ¹⁴C elastic and inelastic scattering, whereas the WS potential for the exit ¹⁵C + ¹⁰B reaction channel was deduced from the fit of CRC cross-sections to the ¹⁴C(¹¹B,¹⁰B)¹⁵C reaction experimental data. Needed for CRC-calculations spectroscopic amplitudes (factors) of the nucleons and clusters transferred in the reaction were calculated within the translational-invariant shell model. The mechanisms for one- and two-step transfers of nucleons and clusters were investigated in this reaction. The ¹⁵C + ¹⁰B potential parameters were deduced, and comparisons of the CRC reaction cross-sections calculated with the ¹⁵C + ¹⁰B and ^12,13C + ¹⁰B potential parameters were performed. The differences between these CRC calculations were observed, e.g. "isotopic effects" were observed for the potentials of ¹⁰B interaction with ^12,13,15C carbon isotopes.

Keywords: nuclear reaction ¹⁴C(¹¹B,¹⁰B)¹⁵C, coupled-reaction-channels method, spectroscopic amplitudes, optical potentials, reaction mechanisms.

1. S. Yu. Mezhevych et al. Elastic and inelastic scattering of ¹⁴C + ¹¹B versus ^12,13C + ¹¹B. Eur. Phys. J. A 50 (2014) 4. https://doi.org/10.1140/epja/i2014-14004-3

2. M. Kowalczyk. SMAN: a Code for Nuclear Experiments. Warsaw University Report, 1998.

3. S. Yu. Mezhevych et al. ¹³С(¹¹B, ¹²C)¹²B reaction at 45 MeV, ¹²C + ¹²B interaction versus that of ¹²C + ^10,11B. Acta Phys. Pol. B 51 (2020) 1949. https://doi.org/10.5506/APhysPolB.51.1949

4. I.J. Thompson. Coupled reaction channels calculations in nuclear physics. Comp. Phys. Rep. 7 (1988) 167. https://doi.org/10.1016/0167-7977(88)90005-6

5. Yu. F. Smirnov, Yu. M. Tchuvil'sky. Cluster spectroscopic factors for the p-shell nuclei. Phys. Rev. C 15 (1977) 84. https://doi.org/10.1103/PhysRevC.15.84

6. A.T. Rudchik, Yu.M. Tchuvil'sky. Calculation of spectroscopic amplitudes for arbitrary associations of nucleons in 1p-shell nuclei (program DESNA). Prepr. of the In-te for Nucl. Res., AS UkrSSR. KINR-82-12 (Kyiv, 1982) 27 p. (Rus)

7. A.T. Rudchik, Yu.M. Tchuvil'sky. Spectroscopic amplitudes of multinucleon clusters in 1p-shell nuclei and analysis of multinucleon transfer reactions. Ukrainian Journal of Physics 30(6) (1985) 819. (Rus)

8. A.N. Boyarkina. The Structure of the 1р-shell Nuclei (Moskva: Moscow University, 1973) 62 p. (Rus)

9. J.F. Mateja et al. ¹¹B + ¹²C and ¹⁰B + ¹³C fusion cross sections. Phys. Rev. C 25 (1982) 2963. https://doi.org/10.1103/PhysRevC.25.2963

10. N. Burtebayev et al. Measurement and analysis of ¹⁰B + ¹²C elastic scattering at energy of 41.3 MeV. Int. J. Mod. Phys. E 28 (2019) 1950028. https://doi.org/10.1142/S0218301319500289

11. S.Yu. Mezhevych et al. The ¹³C + ¹¹B elastic and inelastic scattering and isotopic effects in the ^12,13C + ¹¹B scattering. Nucl. Phys. A 724 (2003) 29. https://doi.org/10.1016/S0375-9474(03)01478-7

12. M.N. El-Hammamy et al. Study of ³He inelastic scattering on ¹³C and ¹⁴C at 37.9 MeV. Chin. Phys. C 38 (2014) 034102. https://doi.org/10.1088/1674-1137/38/3/034102

13. Ahmed N. Abdullah. Investigation of halo structure of neutron rich ¹⁴B, ¹⁵C, ¹⁹C and ²²N nuclei in the two-body model. Int. J. Mod. Phys. E 29 (2020) 2050015. https://doi.org/10.1142/S0218301320500159