The scaling functions f (ψ ′ ) and F (y) from the ψ ′ -and y-scaling analyses of inclusive electron scattering from nuclei are explored within the coherent density fluctuation model (CDFM). In addition to the CDFM formulation in which the local density distribution is used, we introduce a new equivalent formulation of the CDFM based on the one-body nucleon momentum distribution (NMD). Special attention is paid to the different ways in which the excitation energy of the residual system is taken into account in y-and ψ ′ -scaling. Both functions, f (ψ ′ ) and F (y), are calculated using different NMD's and are compared with the experimental data for a wide range of nuclei.The good description of the data for y < 0 and ψ ′ < 0 (including ψ ′ < −1) makes it possible to show the sensitivity of the calculated scaling functions to the peculiarities of the NMD's in different regions of momenta. It is concluded that the existing data on the ψ ′ -and y-scaling are informative for the NMD's at momenta not larger than 2.0 ÷ 2.5 fm −1 . The CDFM allows us to study simultaneously on the same footing the role of both basic quantities, the momentum and density distributions, for the description of scaling and superscaling phenomena in nuclei.
Results of charge form factors calculations for several unstable neutron-rich isotopes of light, medium, and heavy nuclei (He, Li, Ni, Kr, Sn) are presented and compared to those of stable isotopes in the same isotopic chain. For the lighter isotopes (He and Li) the proton and neutron densities are obtained within a microscopic large-scale shell-model, while for heavier ones Ni, Kr, and Sn the densities are calculated in deformed self-consistent mean-field Skyrme HF+BCS method. We also compare proton densities to matter densities together with their rms radii and diffuseness parameter values. Whenever possible comparison of form factors, densities and rms radii with available experimental data is also performed. Calculations of form factors are carried out both in plane wave Born approximation (PWBA) and in distorted wave Born approximation (DWBA). These form factors are suggested as predictions for the future experiments on the electron-radioactive beam colliders where the effect of the neutron halo or skin on the proton distributions in exotic nuclei is planned to be studied and thereby the various theoretical models of exotic nuclei will be tested.
We construct a scaling function f͑Ј͒ for inclusive electron scattering from nuclei within the coherent density fluctuation model (CDFM). The latter is a natural extension to finite nuclei of the relativistic Fermi gas model within which the scaling variable Ј was introduced by Donnelly and collaborators. The calculations show that the high-momentum components of the nucleon momentum distribution in the CDFM and their similarity for different nuclei lead to quantitative description of the superscaling in nuclei. The results are in good agreement with the experimental data for different transfer momenta showing superscaling for negative values of Ј, including those smaller than −1.
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