Final-state interactions in inclusive deep-inelastic scattering from the deuteron

Abstract

We explore the role of final-state interactions (FSI) in inclusive deep-inelastic scattering from the deuteron. Relating the inclusive cross section to the deuteron forward virtual Compton scattering amplitude, a general formula for the FSI contribution is derived in the generalized eikonal approximation, utilizing the diffractive nature of the effective hadron-nucleon interaction. The calculation uses a factorized model with a basis of three resonances with mass $W<2$ GeV and a continuum contribution for larger $W$ as the relevant set of effective hadron states entering the final-state interaction amplitude. The results show sizeable on-shell FSI contributions for Bjorken $x\gtrsim 0.6$ and $Q^2\lesssim 10$ GeV${}^2$, increasing in magnitude for lower $Q^2$, but vanishing in the high-$Q^2$ limit due to phase space constraints. The off-shell rescattering contributes at $x\gtrsim 0.8$ and is taken as an uncertainty on the on-shell result.

29 pages, 8 figures. Version accepted for publication in PRC. Minor changes: some discussion in the introduction is slightly expanded (three typos in formulas corrected)

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• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Recent observation of short range nucleon correlations in nuclei and their implications for the structure of nuclei and neutron stars
• Extended Parameterisations for MSTW PDFs and their effect on Lepton Charge Asymmetry from W Decays
• Final-state interactions in semi-inclusive deep inelastic scattering off the Deuteron

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• Nuclear effects in the proton-deuteron Drell-Yan process
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• Direct observation of quark-hadron duality in the free neutron F_2 structure function
• High x Structure Function of the Virtually Free Neutron
• Quasielastic electron-deuteron scattering in the weak binding approximation
• Factorization Breaking of $A_d^T$ for polarized deuteron targets in a relativistic framework
• Final-state interactions in deep-inelastic scattering from a tensor polarized deuteron target
• Tagged spectator deep-inelastic scattering off the deuteron as a tool to study neutron structure
• Standard convolution description of deuteron tensor spin structure