The effect of halo nuclear density on reaction cross-section for light ion collision

Abstract

In the framework of the optical limit approximation (OLA), the reaction cross-section for halo nucleus — stable nucleus collision at intermediate energy, has been studied. The projectile nuclei are taken to be one-neutron halo (1NHP) and two-neutron halo (2NHP). The calculations are carried out for Gaussian–Gaussian (GG), Gaussian-Oscillator (GO), and Gaussian-2S (G2S) densities for each considered projectile. As a target, the stable nuclei in the range 4–28 of the mass number are used. An analytic expression of the phase shift function has been derived. The zero range approximation is considered in the calculations. Also, the in-medium effect is studied. The obtained results are analyzed and compared with the geometrical reaction cross-section and the available experimental data.

Differential elastic nucleus-nucleus scattering in complete Glauber theory

“…In the case of 11 Li -12 C scattering we have considered 3 parametrization for the halo taken from Ref. 13 The results show a notable difference between the obtained cross sections.…”

“…2 presents the results for the scattering of the exotic halo nucleus 11 Li on 12 C target obtained with the three parametrizations (11) with R c = 2.50 fm, R v = 5.04 fm, N c = 9, N v = 2. 13 Since the core part is common for all of them the Coulomb contributions are identical and the difference should be attributed to various shell structures supposed for the neutrons in the halo. To expose this difference more explicitly the enlarged fragment of Fig.…”