Study of ¹¹Li and ^10,11Be nuclei through elastic scattering and breakup reactions

¹ Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, 1784, Bulgaria
² Joint Institute for Nuclear Research, Dubna 141980, Russia
³ University ‘Ep. K. Preslavski’, Shumen 9712 Bulgaria

^a e-mail:gaidarov@inrne.bas.bg

Published online: 19 January 2016

Abstract

The hybrid model of the microscopic optical potential (OP) is applied to calculate the ¹¹Li+p, ^10,11Be+p, and ^10,11Be+¹²C elastic scattering cross sections at energies E < 100 MeV/nucleon. The OP’s contain the folding-model real part (ReOP) with the direct and exchange terms included, while its imaginary part (ImOP) is derived within the high-energy approximation (HEA) theory. For the ¹¹Li+p elastic scattering, the microscopic large-scale shell model (LSSM) density of ¹¹Li is used, while the density distributions of ^10,11Be nuclei obtained within the quantum Monte Carlo (QMC) model and the generator coordinate method (GCM) are utilized to calculate the microscopic OPs and cross sections of elastic scattering of these nuclei on protons and ¹²C. The depths of the real and imaginary parts of OP are fitted to the elastic scattering data, being simultaneously adjusted to reproduce the true energy dependence of the corresponding volume integrals. Also, the cluster models, in which ¹¹Li consists of 2n-halo and the ⁹Li core having its own LSSM form of density and ¹¹Be consists of a n-halo and the ¹⁰Be core, are adopted. Within the latter, we give predictions for the longitudinal momentum distributions of ⁹Li fragments produced in the breakup of ¹¹Li at 62 MeV/nucleon on a proton target. It is shown that our results for the diffraction and stripping reaction cross sections in ¹¹Be scattering on ⁹Be, ⁹³Nb, ¹⁸¹Ta, and ²³⁸U targets at 63 MeV/nucleon are in a good agreement with the available experimental data.