Eur. Phys. J. A (2021) 57: 231
https://doi.org/10.1140/epja/s10050-021-00539-z

Regular Article - Experimental Physics

New measurements and analysis of elastic scattering of ${}^{13}$C by ${}^9$Be nuclei in a wide energy range

¹ Institute of Nuclear Physics, Almaty, Kazakhstan
² Al-Farabi Kazakh National University, Almaty, Kazakhstan
³ National Research Center “Kurchatov Institute”, Moscow, Russia
⁴ Department of Physics, Akdeniz University, Antalya, Turkey
⁵ L.N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan
⁶ Joint Institute for Nuclear Research, Dubna, Russia
⁷ Faculty of Science, Tanta University, Tanta, Egypt

^b nburtebayev@yandex.ru

Received: 14 April 2021
Accepted: 24 June 2021
Published online: 13 July 2021

Abstract

The angular distributions of ${}^{13}$C elastically scattered by ${}^9$Be nuclei were measured at $E_{\mathit{Lab}}$ (${}^{13}$C) = 16.25 and 19.5 MeV. The measured angular distributions were analyzed via the optical model and the DWBA within the coupled reaction channels methods. In addition to this, the previously obtained data were reanalyzed at energies $E_{\mathit{Lab}}$ = 22.75, 28.12, 36.15, 57.77 and 72.88 MeV. The aim of the study was to elucidate the role of the $\alpha$-cluster transfer mechanism in the large-angle scattering. As a result of these calculations, the optimal parameters of the potentials and their energy dependence were obtained for ${}^{13}$C+${}^9$Be nuclear system. The data at the backward angles are fairly well reproduced. The spectroscopic amplitudes were extracted for the ${}^{13}$C $\to$${}^9$Be + $\alpha$ configuration at various energies. The results are compared with previously reported values.