Scaling Function and Nucleon Momentum Distribution

Abstract

Scaling studies of inclusive quasielastic electron scattering reactions have been used in the past as a basic tool to obtain information on the nucleon momentum distribution in nuclei. However, the connection between the scaling function, extracted from the analysis of cross section data, and the spectral function only exists assuming very restricted approximations. We revisit the basic expressions involved in scaling studies and how they can be linked to the nucleon momentum distribution. In particular, the analysis applied in the past to the so-called scaling region, {\it i.e.,} negative values of the scaling variable $y$, is extended here to positive $y$, since a "universal" superscaling function has been extracted from the analysis of the separated longitudinal data. This leads to results that clearly differ from the ones based solely on the negative-$y$ scaling region, providing new information on how the energy and momentum are distributed in the spectral function.

29 pages, 9 figures. To be published in Phys. Rev. C

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• Surface properties of neutron-rich exotic nuclei: A source for studying the nuclear symmetry energy
• Neutrino event generators: foundation, status and future
• Scaling Function, Spectral Function and Nucleon Momentum Distribution in Nuclei
• Charged-current quasielastic neutrino cross sections on ${}^{12}$C with realistic spectral and scaling functions
• Neutral Current Neutrino-Nucleus Scattering. Theory
• Isoscalar Giant Monopole Resonance in Spherical Nuclei as a Nuclear Matter Incompressibility Indicator
• Global Fit of Electron and Neutrino Elastic Scattering Data to Determine the Strange Quark Contribution to the Vector and Axial Form Factors of the Nucleon
• Parity violation and dynamical relativistic effects in $(\vec{e},e^{\prime }N)$ reactions
• Connecting scaling with short-range correlations
• Nucleon momentum distributions of complex nuclei from inclusive electron scattering