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arXiv · 1311.3550

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

W. Cosyn·W. Melnitchouk·M. Sargsian
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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.

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W. Cosyn, W. Melnitchouk, M. Sargsian. 2014-01-17. Final-state interactions in inclusive deep-inelastic scattering from the deuteron. https://doi.org/10.1103/physrevc.89.014612

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