Extraction of the radii of 9-Be, 10-B and 11-B nuclei in the approximation of the strongly absorbing nucleus model in elastic scattering reactions of deuterons

Abstract

To study the cluster states of light nuclei, in this work, the radii of ⁹Be, ¹⁰B and ¹¹B nuclei were calculated using elastic scattering of deuterons with energies from 11 MeV to 28 MeV. From the oscillations of Fraunhofer-type nuclear diffraction patterns of experimental angular distributions of differential cross sections of elastically scattered deuterons on target nuclei, the free parameters of the complex angular momentum method were determined using fits to the single-valued minimum Pearson values. Moreover, the array of experimental data points was not always unambiguous, and this led to difficulties in the quality of fitting free parameters, which affected the results of radius calculations. The results of the radii are presented in the paper, the values of which were compared with the values of the world literature data. The obtained calculated values of the radii of nuclei for ⁹Be are in satisfactory agreement with the exception of some values. For ¹⁰B and ¹¹B, there is a systematic excess of the obtained radii over the literature values. It is possible that such excess is due to the fact that when calculating the radii of the nuclei under study, the structure of the deuterons and their own radius, which increases the radius of interaction, were not taken into account.