Abstract
The data on the 12,14Be + p elastic scattering cross sections at 700 Mev are compared with those obtained by solving the relativistic wave equation with the microscopic optical potentials calculated as folding of the NN amplitude of scattering with densities of these nuclei in the form of the symmetrized Fermi function with the fitted radius and diffuseness parameters, and also with the densities obtained in two microscopic models, based on the Generator Coordinate Method (GCM) and the other one – on the Variational Method of Calculations (VMC). For 12Be, above models turn out to be in a small disagreement with the data at "large" angles of scattering θ ≥ 9°, while for the 14Be one sees some inconsistence at smaller angles, too.
Highlights
In the paper [1], the experimental data of the elastic scattering differential cross sections at small angles were obtained at near 700 MeV/u energy
As for the input densities of nuclei 12,14Be we apply the known symmetrized Fermi function (SF)-function with the same parameters as in [1], and we test the densities, obtained in [2] by using the Variational Monte Carlo (VMC) model and densities of the Generator Coordinate Method (GCM) from [3]
When calculating the differential cross sections for scattering in the corresponding optical potentials (2) with the SF, VMS- and GSM-densities of 12,14Be nuclei we apply the DWUCK4 code [7] transformed for relativistic energies when the code solves the wave equation:
Summary
In the paper [1], the experimental data of the elastic scattering differential cross sections at small angles were obtained at near 700 MeV/u energy. These data have been analyzed using the Glauber multiple-scattering theory where several phenomenological forms of density distributions for the 12,14Be nuclei were fitted. By fitting its radius R and diffuseness a parameters This density has the true exponential asymptotic as compared to the other forms tested in [1] having the Gaussian behavior at their periphery. As for the sets of our input parameters for the NN amplitudes, we have used them as it is done in [1] in correspondence with the parametrization of the NN cross sections from [4], and the ratio of the imaginary to real NN amplitude of scattering at zero angle from [5]
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