Longitudinal and Transverse Scaling Functions within the Coherent Density Fluctuation Model

Abstract

We extend our previous description of the superscaling phenomenon in inclusive electron scattering within the Coherent Density Fluctuation Model (CDFM). This model is a natural extension to finite nuclei of the Relativistic Fermi Gas Model (RFG) within which the scaling variable ${\psi }^{\prime }$ was introduced. In this work we propose a new modified CDFM approach to calculate the total, longitudinal and transverse scaling functions built up from the hadronic tensor and the longitudinal and transverse response functions in the RFG. We test the superscaling behavior of the new CDFM scaling functions by calculating the cross sections of electron scattering (in QE- and $\Delta$-region for nuclei with $12\le A\le 208$ at different energies and angles) and comparing to available experimental data. The new modified CDFM approach is extended to calculate charge-changing neutrino and antineutrino scattering on ${}^{12}$C at 1 GeV incident energy.

12 pages, 10 figures, accepted in Physical Review C

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• Surface properties of neutron-rich exotic nuclei: A source for studying the nuclear symmetry energy
• Scaling Function and Nucleon Momentum Distribution
• Isospin dependent properties of the isotopic chain of Scandium and Titanium nuclei within the relativistic mean-field formalism
• Neutral Current Neutrino-Nucleus Scattering. Theory
• Isoscalar Giant Monopole Resonance in Spherical Nuclei as a Nuclear Matter Incompressibility Indicator
• Connecting scaling with short-range correlations