Deep inelastic scattering on the deuteron in the Bethe-Salpeter formalism II: Realistic $NN$-interaction

Abstract

We present a systematic study of the leading twist structure functions of the deuteron, F_2^D, b_{1,2}^D and g_1^D in a fully relativistic approach. Our study is based on a realistic Bethe-Salpeter amplitude for the deuteron, which is obtained as a solution to the homogeneous Bethe-Salpeter equation with a realistic NN kernel. Particular effort is made to connect the structure functions to the densities of the appropriate charges and currents. This allows for a systematic comparison between the relativistic and nonrelativistic calculations, by analysing the same densities in both approaches. Thus, the sources of the relativistic effects in the structure functions are understood and clearly distinguished from variations caused by the differences in the model parameters. We present both the formalism and extensive numerical calculations for all steps of our analysis. We find that the nonrelativistic and relativistic calculations are qualitatively very much alike. However, three main features systematically distinguish a consistent relativistic approach from the nonrelativistic one: (i) the binding effects are larger, (ii) the effect of Fermi motion at high $x$ is stronger and (iii) the relativistic description of the structure functions b_{1,2}^D is fully consistent, unlike the nonrelativistic approach, which is internally inconsistent and violates the fundamental sum rules.

29 pages of text using revtex, plus 15 Postscript figures

References in corpus (16)

• An updated analysis of NN elastic scattering data to 1.6 GeV
• Deep Inelastic Scattering from off-Shell Nucleons
• Relativistic Deuteron Structure Function
• Relativistic description of electron scattering on the deuteron
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• DEEP INELASTIC SCATTERING FROM POLARIZED DEUTERONS
• The Pion-Nucleon Coupling Constant in QCD Sum Rules
• Determination of the pion-nucleon coupling constant from QCD sum rules
• Investigation of the Neutron Form Factors by Inclusive Quasi-Elastic Scattering of Polarized Electrons off Polarized ${}^3$He: A Theoretical Overview
• Bethe-Salpeter Amplitudes and Static Properties of the Deuteron
• A Relativistic Approach to Deep Inelastic Scattering on the Deuteron
• CHIRAL BACKGROUND FOR THE TWO PION EXCHANGE NUCLEAR POTENTIAL: A PARAMETRIZED VERSION
• Parametrization of Realistic Bethe-Salpeter Amplitude for the Deuteron
• On the Off-Mass-Shell Deformation of the Nucleon Structure Function
• The Spectrum and Confinement for the Bethe-Salpeter Equation
• Some Aspects of Nuclear Deep Inelastic Scattering

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• Two-Fermion Bound States within the Bethe-Salpeter Approach
• Relativistic effects in proton-induced deuteron break-up at intermediate energies with forward emission of a fast proton pair
• Elastic Proton-Deuteron Backward Scattering: Relativistic Effects and Polarization Observables
• Deuteron spin structure functions in the resonance and DIS regions
• Evolution of the nucleon structure in the lightest nuclei
• Relativistic Structure of the Deuteron: 1.Electro-disintegration and y-scaling
• Charge-Exchange Reaction pD->n(pp) in the Bethe-Salpeter Approach
• Solar Proton Burning Process Revisited within a Covariant Model Based on the Bethe-Salpeter Formalism