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)

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

1</sup> Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine
² Heavy Ion Laboratory of Warsaw University, Warsaw, Poland
³ Physics Department, Florida State University, Tallahassee, USA
⁴ Cyclotron Institute Texas A&M University, College Station, USA

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

Abstract: New experimental data for differential cross-sections of the ¹⁴C(¹¹B, ¹²C)¹³B reaction obtained recently at the energy Е_lab(¹¹B) = 45 MeV for the ground states of ¹³B and ¹²C were analyzed within the coupled reaction channels (CRC) method that included the ¹¹B + ¹⁴C elastic scattering channel as well as channels for one- and two-step transfers of nucleons in the coupling scheme. The necessary ¹¹B + ¹⁴C Woods - Saxon (WS) optical potential parameters for the entrance reaction channel were obtained from ¹¹B elastic scattering in the previous work, while those for ¹²C + ¹³B interaction were deduced from fitting the CRC calculations to the ¹⁴C(¹¹B, ¹²C)¹³B reaction data. Needed spectroscopic amplitudes of transferred nucleons and clusters were calculated within the translational-invariant shell model. The data are well described by the direct transfer of a proton while contributions from two-step transfers were found to be negligible. The deduced ¹³B + ¹²C WS optical potential parameters are compared with those of the ^10,11,12B + ¹²C nuclei interactions. The effect of isotopic differences in these interactions was observed.

Keywords: nuclear reaction ¹⁴C(¹¹B, ¹²C)¹³B, coupled-reaction-channels method, spectroscopic amplitudes, optical potentials, reaction mechanisms.

1. A. Estrade et al. Proton Radii of ^12-17B Define a Thick Neutron Surface in ¹⁷B. Phys. Rev. Lett. 113 (2014) 132501. https://doi.org/10.1103/PhysRevLett.113.132501

2. R. Kalpakchieva et al. Spectroscopy of ¹³B, ¹⁴B, ¹⁵B and ¹⁶B using multi-nucleon transfer reactions. Eur. Phys. J. A 7 (2000) 451. https://doi.org/10.1007/PL00013641

3. B.B. Back et al. First Experiment with HELIOS: The Structure of ¹³B. Phys. Rev. Lett. 104(13) (2010) 132501. http://dx.doi.org/10.1103/PhysRevLett.104.132501

4. A.H. Wuosmaa et al. Stretched states in ^12,13B with the (d, α) reaction. Phys. Rev. C 90 (2014) 061301. https://doi.org/10.1103/PhysRevC.90.061301

5. C.J. Guess et al. Spectroscopy of ¹³B via the ¹³C(t, ³He) reaction at 115A MeV. Phys. Rev. C 80 (2009) 024305. https://doi.org/10.1103/PhysRevC.80.024305

6. S. Bedoor et al. Structure of ¹⁴C and ¹⁴B from the ^14,15C(d, ³He)^13,14B reactions. Phys. Rev. C 93(4) (2016) 044323. https://doi.org/10.1103/PhysRevC.93.044323

7. H.Y. Lee et al. Experimental study of the ^11,12B(n, γ) reactions and their influence on r process nucleosynthesis of light elements. Phys. Rev. C 81 (2010) 015802. https://doi.org/10.1103/PhysRevC.81.015802

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

9. A.T. Rudchik et al. The ¹¹B + ¹²C elastic and inelastic scattering at E_lab(¹¹B) = 49 MeV and energy dependence of the ¹¹B + ¹²C interaction. Nucl. Phys. A 695 (2001) 51. https://doi.org/10.1016/S0375-9474(01)01106-X

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. Extracting the asymptotic normalization coefficient for the ¹⁴C → ¹³B + p overlap from the ¹⁴C(¹¹B, ¹²C)¹³B reaction. Phys. Rev. C 105 (2022) 024615. https://doi.org/10.1103/PhysRevC.105.024615

12. Yong-Li Xu et al. Applicability of ⁹Be global optical potential to description of ^8,10,11B elastic scattering. Chinese Physics C 44(3) (2020) 034101. https://doi.org/10.1088/1674-1137/44/3/034101

13. Suhel Ahmad, A.A. Usmani, Z.A. Khan. Matter radii of light proton-rich and neutron-rich nuclear isotopes. Phys. Rev. C 96 (2017) 064602. https://doi.org/10.1103/PhysRevC.96.064602

14. S.Yu. Mezhevych et al. Reaction ¹⁴C(¹¹B, ¹⁰B)¹⁵C at E_lab = 45 MeV and ¹⁰B + ¹⁵C optical potential. Acta Phys. Pol. B 52(2) (2021) 109. https://doi.org/10.5506/APhysPolB.52.109

15. 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(1-2) (2003) 29. https://doi.org/10.1016/S0375-9474(03)01478-7

16. 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

17. S.Yu. Mezhevych et al. Excitation of ¹⁴C by 45 MeV ¹¹B ions. Nucl. Phys. A 753 (2005) 13. https://doi.org/10.1016/j.nuclphysa.2005.02.119

18. 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

19. 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)

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

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

22. 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

23. S.Yu. Mezhevych, K. Rusek. Quadrupole deformation of ¹¹B (3/2^–, 5.02 MeV) excited state from ¹¹B + ¹²C scattering. Acta Phys. Pol. B 34(4) (2003) 2415. https://www.actaphys.uj.edu.pl/fulltext?series=Reg&vol=34&page=2415

24. G. Bertsch et al. Interactions for inelastic scattering derived from realistic potentials. Nucl. Phys. A 284(3) (1977) 399. https://doi.org/10.1016/0375-9474(77)90392-X

25. J. Cook. DFPOT – A program for the calculation of double folded potentials. Comput. Phys. Commun. 25 (1982) 125. https://doi.org/10.1016/0010-4655(82)90029-7