Distance analysis of elastic scattering data of light projectiles on ²⁷Al target

Abstract

The strong synergy between nuclear structure and reactions mechanism has allowed the observation of cluster effects in the elastic scattering process. In this work we present an alternative phenomenological analysis on the angular distributions for elastic scattering induced by tightly-bound (12C, 16O), weakly-bound (6Li, 7Li, 9Be), and exotic (6He) nuclei on light 27Al target at energies close to the Coulomb barrier. The reported and published angular distributions for these systems were converted from cross sections as a function of angle to cross sections as a function of the distance of closest approach. From these new plots, it is now possible to extract the critical-interaction and strong-absorption distances. Larger values for the critical distances were obtained for the exotic and weakly-bound nuclei as compared to those corresponding to tightly-bound 12C and 16O nuclei.

Systematic extraction of the strong absorption distance and Coulomb barrier from elastic scattering*

“…It was concluded that there was an apparent correlation between and the binding energy, that is, of halo nuclei weakly bound nuclei tightly bound nuclei. Recent studies on elastic scattering on Ni, Sn targets [23] and the light Al target [24] by the same theoretical group led to similar conclusions. The strong absorption distance has been studied in various works due to its evident physical meanings.…”

Study the deuteron and alpha-particle properties applying comparative analyses

“…It was observed that ds and dI obtained for the d+ 208 Pb system are close to 6 He+ 64 Zn as shown in Fig. 3 [18,19]. For the Arab J. Nucl.…”

“…is equal to 0.25. There is a strong relationship between ds and the grazing angle Ɵ1/4 where the ratio of the elastic scattering to the Rutherford scattering is dσ/dσR= 0.25 [18]. The distance of the closest approach is given as:…”