Scaling within the Spectral Function approach

Abstract

Scaling features of the nuclear electromagnetic response functions unveil aspects of nuclear dynamics that are crucial for interpretating neutrino- and electron-scattering data. In the large momentum-transfer regime, the nucleon-density response function defines a universal scaling function, which is independent of the nature of the probe. In this work, we analyze the nucleon-density response function of ${}^{12}$C, neglecting collective excitations. We employ particle and hole spectral functions obtained within two distinct many-body methods, both widely used to describe electroweak reactions in nuclei. We show that the two approaches provide compatible nucleon-density scaling functions that for large momentum transfers satisfy first-kind scaling. Both methods yield scaling functions characterized by an asymmetric shape, although less pronounced than that of experimental scaling functions. This asymmetry, only mildly affected by final state interactions, is mostly due to nucleon-nucleon correlations, encoded in the continuum component of the hole SF.

15 pages, 11 figures

References in corpus (16)

• Inclusive quasi-elastic electron-nucleus scattering
• Extensions of Superscaling from Relativistic Mean Field Theory: the SuSAv2 Model
• Electromagnetic response of 12C: a first-principles calculation
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• Total neutrino and antineutrino nuclear cross sections around 1 GeV
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• Inelastic Neutrino-Nucleus Interactions within the Spectral Function Formalism
• Scaling Function, Spectral Function and Nucleon Momentum Distribution in Nuclei
• Accuracy of the lepton-nucleus scattering models in the quasielastic region
• Comparison of the electromagnetic responses of ${}^{12}$C obtained from the Green's function Monte Carlo and spectral function approaches
• Nuclear effects in F_3 structure function of nucleon
• Perturbation Theory of Nuclear Matter with a Microscopic Effective Interaction
• Electromagnetic scaling functions within the Green's Function Monte Carlo approach

Cited by in corpus (5)

• Electron- versus neutrino-nucleus scattering
• Electroweak pion-production on nuclei within the extended factorization scheme
• A realistic spectral function model for charged-current quasielastic-like neutrino and antineutrino cross sections on ${}^{12}$C
• Polarization of tau in quasielastic (anti)neutrino scattering: the role of spectral functions
• Weak production of strange and charm ground-state baryons in nuclei