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The difference of the surface structure of carbon isotopes, its impact on the calculations of the 13C(11B, 10B)14C reaction cross sections
S. Yu. Mezhevych1,*, O. A. Ponkratenko1, Yu. M. Stepanenko1, V. V. Uleshchenko1, A. A. Rudchik1, V. M. Kyrianchuk2, Yu. O. Shyrma1, Yu. S. Roznyuk1, I. I. Vertegel1
1 Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine
2 Scientific and Technical Center of National Nuclear Energy Generating Company "Energoatom", Kyiv, Ukraine
*Corresponding author. E-mail address:
sermezhev@gmail.com
Abstract: Recently published experimental angular distributions of the reaction 13Ñ(11Â, 10Â)14Ñ at Ålab(11B) = 45.0 MeV for transitions to the ground states of exit channel nuclei, were analyzed within coupled-reaction-channels method (CRC), applying for 10Â + 14Ñ interaction the potentials for systems 10Â + 12-20Ñ that were obtained by means of the double-folding method (DF) using modelled shapes for the distributions of nucleons in 10Â and 12-20Ñ nuclei. This research aimed to investigate the influence of the surface structure of 12-20Ñ isotopes, reflected accordingly in the constructed potentials for the interaction of 10Â + 12-20Ñ, on the results of CRC-calculations and their agreement with experimental data. The difference of CRC cross sections for the direct transfer of a neutron, as the main reaction mechanism, was found to be small when applying DF-potentials calculated for systems 10Â + 12-16Ñ in the exit channel of this reaction. Only with DF-potentials for 10Â + 17-20Ñ systems used in the exit channel of the reaction 13Ñ(11Â, 10Â)14Ñ a more notable difference of CRC cross sections against the experimental data and those used for the system 10Â + 14Ñ was observed, what originates from more diffuse density distributions of nucleons modelled on the surfaces of isotopes 17-20Ñ in comparison with 14Ñ. As CRC-calculations of transfer reactions are affected by strong couplings between different channels, what can deteriorate the investigation of the influence of slight differences in the shapes of DF-potentials in the interaction region, the measurements of angular distributions for the elastic and inelastic scattering of unstable 15-20Ñ isotopes are desirable, as far as possible, for the investigation of their internal structure and isotopic differences.
Keywords: coupled-reaction-channels method, optical potentials, nucleon density distributions.
References:1. A.A. Allami, A.A. Alzubadi. Study of the nuclear structure of some exotic nuclei using nonrelativistic and relativistic mean-field methods. Int. J. Mod. Phys. E 29 (12) (2020) 2050090. https://doi.org/10.1142/S0218301320500901
2. A.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(03) (2020) 2050015. https://doi.org/10.1142/S0218301320500159
3. V.G. Távora et al. Strong coupling effects on near-barrier 15C + 208Pb elastic scattering. Phys. Lett. B 855 (2024) 138770. https://doi.org/10.1016/j.physletb.2024.138770
4. H.T. Fortune. Matter radii and configuration mixing in 15–19C. Eur. Phys. J. A 54 (2018) 73. https://doi.org/10.1140/epja/i2018-12506-6
5. A.V. Dobrovolsky et al. Nuclear matter distributions in the neutron-rich carbon isotopes 14-17C from intermediate-energy proton elastic scattering in inverse kinematics. Nucl. Plys. A 1008 (2021) 122154. https://doi.org/10.1016/j.nuclphysa.2021.122154
6. Y. Jiang et al. Quadrupole deformation of 16C studied by proton and deuteron inelastic scattering. Phys. Rev. C 101 (2020) 024601. https://doi.org/10.1103/PhysRevC.101.024601
7. Y.-S. Song et al. Quasielastic scattering of 17C from a carbon target at 40 MeV/nucleon. Eur. Phys. J. A 54 (2018) 35. https://doi.org/10.1140/epja/i2018-12460-3
8. K. Hagino, N. Takahashi, H. Sagawa. Strong dineutron correlation in 8He and 18C. Phys. Rev. C 77 (2008) 054317. https://doi.org/10.1103/PhysRevC.77.054317
9. T. Yamaguchi et al. Nuclear reactions of 19,20C on a liquid hydrogen target measured with the superconducting TOF spectrometer. Nucl. Phys. A 864 (2011) 1. https://doi.org/10.1016/j.nuclphysa.2011.05.095
10. S. 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
11. S.Yu. Mezhevych et al. Potentials of interaction of 10,11,12,13B isotopes with 12C. Nucl. Phys. At. Energy 23 (2022) 164. (Ukr) https://doi.org/10.15407/jnpae2022.03.164
12. S.Yu. Mezhevych et al. Analysis of 11B + 13,14C scattering and 13C(11B, 10B)14C reaction data at Elab(11B) = 45 MeV using energy dependent optical model systematics for carbon isotopes. Phys. Scr. 99 (2024) 105316. https://doi.org/10.1088/1402-4896/ad7b8d
13. Y.-L. Xu et al. Description of elastic scattering induced by the unstable nuclei 9,10,11,13,14C. Chin. Phys. C 45 (2021) 114103. https://doi.org/10.1088/1674-1137/ac1fe1
14. 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
15. S.Yu. Mezhevych et al. 13Ñ(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/10.1088/1674-1137/ac1fe1
16. 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
17. 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
18. G. Bertsch et al. Interactions for inelastic scattering derived from realistic potentials. Nucl. Phys. A 284 (1977) 399. https://doi.org/10.1016/0375-9474(77)90392-X
19. S.Yu. Mezhevych et al. Cluster structure of 17O. Phys. Rev. C 95 (2017) 034607. https://doi.org/10.1103/PhysRevC.95.034607
20. R. Kanungo et al. Proton distribution radii of 12-19C illuminate features of neutron halos. Phys. Rev. Lett. 117 (2016) 102501. https://doi.org/10.1103/PhysRevLett.117.102501