Role of cluster configurations in the elastic scattering of light projectiles on $$^{58}$$Ni and $$^{64}$$Zn targets: a phenomenological analysis

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

“…The distances for the tightly-bound nuclei ( 12 C and 16 O) are smaller than for the weakly-bound ones. This conclusion was also obtained from the analysis with elastic scattering induced on 58 Ni [5] and 208 Pb [6] targets. This means that the interaction for exotic nuclei is more peripheral and the interaction is felt beyond the classical range.…”

“…To more reliable and precisely extract these distances from the plots of angular distributions we are employing the same procedure as the one used in Refs. [6,5], i. e., we are considering a Boltzmann exponential function, with three free parameters, which could be used to fit the cross section data, in a certain range of distances. This exponential is given by:…”

“…We applied in this work a semi-classical phenomenological analysis based on the distances where we plot the cross section ratio of elastic cross section to the Rutherford value as a function of the distance of closest approach on a Rutherford trajectory. From the analysis of elastic angular distribution data of several systems reported the literature, involving tightly-bound ( 12 C, 16 O), weakly-bound ( 6 Li, 7 Li, 9 Be) and exotic ( 6 He) nuclei on a the light 27 Al target, the critical-interaction and strong-absorption distances were obtained from the analysis This work on the light 27 Al target is, actually, a following up of the previous work on the heavier 58 Ni [5] and 208 Pb [6] targets. As in the previous work, larger values of the critical interaction distance were observed for the exotic 6 He nucleus when compared to those obtained for weakly-bound and tightly-bound projectiles.…”

“…From the comparison of the values we can infer on the structure of these nuclei. This analysis is a following up of the previous works on 58 Ni [5] and 208 Pb [6] targets.…”

Threshold anomalies in low-energy reactions with loosely-bound projectiles

“…1 for all energies in a same system are plotted together, it can be shown that they follow a single trajectory [3]. This allows one to define a single interaction distance for each system, as the distance where the ratio to Rutherford starts decreasing from one [29][30][31].…”