Scaling Functions and Superscaling in Medium and Heavy Nuclei

Abstract

The scaling function $f({\psi }^{\prime })$ for medium and heavy nuclei with $Z\ne N$ for which the proton and neutron densities are not similar is constructed within the coherent density fluctuation model (CDFM) as a sum of the proton and neutron scaling functions. The latter are calculated in the cases of ${}^{62}$Ni, ${}^{82}$Kr, ${}^{118}$Sn, and ${}^{197}$Au nuclei on the basis of the corresponding proton and neutron density distributions which are obtained in deformed self-consistent mean-field Skyrme HF+BCS method. The results are in a reasonable agreement with the empirical data from the inclusive electron scattering from nuclei showing superscaling for negative values of ${\psi }^{\prime }$, including those smaller than -1. This is an improvement over the relativistic Fermi gas (RFG) model predictions where $f({\psi }^{\prime })$ becomes abruptly zero for ${\psi }^{\prime }\le -1$. It is also an improvement over the CDFM calculations made in the past for nuclei with $Z\ne N$ assuming that the neutron density is equal to the proton one and using only the phenomenological charge density.

4 pages, 1 figure, ReVTeX, accepted for publication in Phys. Rev. C

References in corpus (4)

• Extended Superscaling of Electron Scattering from Nuclei
• Inelastic electron-nucleus scattering and scaling at high inelasticity
• Superscaling in Nuclei: A Search for Scaling Function Beyond the Relativistic Fermi Gas Model
• Superscaling, Scaling Functions and Nucleon Momentum Distributions in Nuclei

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