Relativistic and Nuclear Medium Effects on the Coulomb Sum Rule

Abstract

In light of the forthcoming high precision quasielastic electron scattering data from Jefferson Lab, it is timely for the various approaches to nuclear structure to make robust predictions for the associated response functions. With this in mind, we focus here on the longitudinal response function and the corresponding Coulomb sum rule for isospin-symmetric nuclear matter at various baryon densities. Using a quantum field-theoretic quark-level approach which preserves the symmetries of quantum chromodynamics, as well as exhibiting dynamical chiral symmetry breaking and quark confinement, we find a dramatic quenching of the Coulomb sum rule for momentum transfers $\left|\mathbf{q}\right|\gtrsim 0.5$GeV. The main driver of this effect lies in changes to the proton Dirac form factor induced by the nuclear medium. Such a dramatic quenching of the Coulomb sum rule was not seen in a recent quantum Monte Carlo calculation for carbon, suggesting that the Jefferson Lab data may well shed new light on the explicit role of QCD in nuclei.

5 pages, 4 figures

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• Quantum Monte Carlo methods for nuclear physics
• Recent developments in no-core shell-model calculations
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• Isovector EMC effect explains the NuTeV anomaly
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• Neutron Properties in the Medium
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• Coulomb sum rule in quasielastic region
• Coulomb distortion effects in quasi-elastic (e,e') scattering on heavy nuclei
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• Exposing Novel Quark and Gluon Effects in Nuclei
• Isospin composition of the high-momentum fluctuations in nuclei from asymptotic momentum distributions
• Massive Neutron Stars with a Color Superconducting Quark Matter Core
• The Role of Baryon Structure in Neutron Stars
• Strong Interaction Physics at the Luminosity Frontier with 22 GeV Electrons at Jefferson Lab
• Extraction of the Coulomb Sum Rule, Transverse Enhancement, and Longitudinal Quenching from an Analysis of all Available e-${}^{12}$C and e-${}^{16}$O Cross Section Data
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• Reflections on the Origin of the EMC Effect
• QCD and a New Paradigm for Nuclear Structure
• Contribution of Nuclear Excitation Electromagnetic Form Factors in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ to the Coulomb Sum Rule
• Dispersive Corrections to the Born Approximation in Elastic Electron-Nucleus Scattering in the Intermediate Energy Regime
• Lambda beta-decay in-medium
• Manifestation of one- and two-body currents in longitudinal and transverse response functions of the 12C nucleus at q = 300 MeV/c