In the paper, the results of analysis of elastic scattering and breakup processes in interactions of the ${}^{11}$Li nucleus with protons are presented. The hybrid model of the microscopic optical potential (OP) is applied. This OP includes the single-folding real part, while its imaginary part is derived within the high-energy approximation theory. For ${}^{11}\mathrm{Li}+p$ elastic scattering, the microscopic large-scale shell model (LSSM) density of ${}^{11}$Li is used. The depths of the real and imaginary parts of the OP are fitted to the elastic scattering data at 62, 68.4, and 75 MeV/nucleon, being simultaneously adjusted to reproduce the true energy dependence of the corresponding volume integrals. The role of the spin-orbit potential is studied and predictions for the total reaction cross sections are made. Also, the cluster model, in which ${}^{11}$Li consists of a $2n$-halo and the ${}^9$Li core having its own LSSM form of density, is adopted. The respective microscopic proton-cluster OPs are calculated and folded with the density probability of the relative motion of both clusters to get the whole ${}^{11}\mathrm{Li}+p$ OP. The breakup cross sections of ${}^{11}$Li at 62 MeV/nucleon and momentum distributions of the cluster fragments are calculated. An analysis of the single-particle density of ${}^{11}$Li within the same cluster model accounting for the possible geometric forms of the halo-cluster density distribution is performed.

• Received 27 May 2013

DOI:https://doi.org/10.1103/PhysRevC.88.034612