Superscaling in dilute Fermi gas and its relation to general properties of the nucleon momentum distribution in nuclei

Abstract

The superscaling observed in inclusive electron scattering is described within the dilute Fermi gas model with interaction between the particles. The comparison with the relativistic Fermi gas (RFG) model without interaction shows an improvement in the explanation of the scaling function $f({\psi }^{\prime })$ in the region ${\psi }^{\prime }<-1$, where the RFG result is $f({\psi }^{\prime })=0$. It is found that the behavior of $f({\psi }^{\prime })$ for ${\psi }^{\prime }<-1$ depends on the particular form of the general power-law asymptotics of the momentum distribution $n(k)\sim 1/k^{4+m}$ at large $k$. The best agreement with the empirical scaling function is found for $m\simeq 4.5$ in agreement with the asymptotics of $n(k)$ in the coherent density fluctuation model where $m=4$. Thus, superscaling gives information about the asymptotics of $n(k)$ and the NN forces.

arXiv comment6 pages, 5 figures, accepted for publication in Physical Review C

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• Superscaling and Neutral Current Quasielastic Neutrino-Nucleus Scattering beyond the Relativistic Fermi Gas Model
• Superscaling predictions for neutrino-induced charged-current charged pion production at MiniBooNE
• Longitudinal and Transverse Scaling Functions within the Coherent Density Fluctuation Model
• Neutral current quasielastic (anti)neutrino scattering beyond the Fermi gas model at MiniBooNE and BNL kinematics
• Neutral Current Neutrino-Nucleus Scattering. Theory
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Superscaling of non-quasielastic electron-nucleus scattering