Microscopic analysis of ${}^{11}$Li elastic scattering on protons and breakup processes within ${}^9$Li+$2n$ cluster model

Abstract

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 (HEA) theory. For the ${}^{11}$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 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 $2n$-halo and the ${}^9$Li core having its own LSSM form of density, is adopted. The respective microscopic proton-cluster OP's are calculated and folded with the density probability of the relative motion of both clusters to get the whole ${}^{11}$Li$+p$ optical potential. 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.

16 pages, 14 figures, accepted for publication in Physical Review C

References in corpus (4)

• Roles of the tensor and pairing correlations on the halo formation in 11Li
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• Study of ${}^6$He+${}^{12}$C Elastic Scattering Using a Microscopic Optical Potential
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• Pre-equilibrium mechanisms in the93Nb(p,alpha) inclusive reaction at incident energies from 65 to 160 MeV
• Microscopic analysis of quasielastic scattering and breakup reactions of neutron-rich nuclei ${}^{12,14}$Be