Final-state interactions in semi-inclusive deep inelastic scattering off the Deuteron

Abstract

Semi-inclusive deep inelastic scattering off the Deuteron with production of a slow nucleon in recoil kinematics is studied in the virtual nucleon approximation, in which the final state interaction (FSI) is calculated within general eikonal approximation. The cross section is derived in a factorized approach, with a factor describing the virtual photon interaction with the off-shell nucleon and a distorted spectral function accounting for the final-state interactions. One of the main goals of the study is to understand how much the general features of the diffractive high energy soft rescattering accounts for the observed features of FSI in deep inelastic scattering(DIS). Comparison with the Jefferson Lab data shows good agreement in the covered range of kinematics. Most importantly, our calculation correctly reproduces the rise of the FSI in the forward direction of the slow nucleon production angle. By fitting our calculation to the data we extracted the $W$ and $Q^2$ dependences of the total cross section and slope factor of the interaction of DIS products, $X$, off the spectator nucleon. This analysis shows the $XN$ scattering cross section rising with $W$ and decreasing with an increase of $Q^2$. Finally, our analysis points at a largely suppressed off-shell part of the rescattering amplitude.

27 pages, 8 figures. Corrected typos, section II.E has been expanded a bit. Figures have been updated to conform to the publication guidelines. Results and conclusions haven't changed. Accepted for publication in PRC

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• New Results on Short-Range Correlations in Nuclei
• Tensor-polarized structure function $b_1$ in the standard convolution description of the deuteron
• Modern Studies of the Deuteron: from the Lab Frame to the Light Front
• Electron-deuteron deep-inelastic scattering with spectator nucleon tagging and final-state interactions at intermediate x
• Neutron spin structure with polarized deuterons and spectator proton tagging at EIC
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• Multi-Nucleon Short-Range Correlation Model for Nuclear Spectral Functions: I. Theoretical Framework
• Nuclear final-state interactions in deep inelastic scattering off the lightest nuclei
• Direct observation of quark-hadron duality in the free neutron F_2 structure function
• QCD Evolution of Superfast Quarks
• Towards an improved description of SiDIS by a polarized 3He target
• Probing Vector Mesons in Deuteron Break-up Reactions
• Tagged EMC Measurements on Light Nuclei
• High x Structure Function of the Virtually Free Neutron
• Quasielastic electron-deuteron scattering in the weak binding approximation
• Final-state interactions in deep-inelastic scattering from a tensor polarized deuteron target
• Factorization Breaking of $A_d^T$ for polarized deuteron targets in a relativistic framework
• Electron scattering from a deeply bound nucleon on the light-front
• Tagged spectator deep-inelastic scattering off the deuteron as a tool to study neutron structure
• Hard Photodisintegration of 3He into pd pair