Shadowing in the Deuteron and the New $F_2^n/F_2^p$ Measurements

TL;DR

The calculations include nuclear shadowing effects and a suitable extrapolation of the structure functions of free nucleons to the low [ital Q][sup 2] region and the theoretical results are in a good agreement with the NMC data.

Abstract

The quantity $2F_2^d(x,Q^2)/F_2^p(x,Q^2)-1$ is calculated in the region of low $x$ and low- and moderate $Q^2$ relevant for recent NMC and E665 measurements as well as for the expected final results of the precise NMC analysis of their low $x$ data. The calculations include nuclear shadowing effects and a suitable extrapolation of the structure functions of free nucleons to the low $Q^2$ region. The theoretical results are in a good agreement with the NMC data. The shadowing correction to the experimental estimate of the Gottfried sum is quantified.

Figures (2)

• Figure 1: The quantity $2F_2^d/F_2^p - 1$ calculated from our models bbjkshadbbjkf2 which include the shadowing in the deuteron, eq.(\ref{['rationp']}) compared with the re-evaluated NMC measurements, nmcrapid, (cf. table 1) and with the Fermilab E665 data, e665. The errors are statistical.
• Figure 2: The shadowing contribution to the deuteron structure function, $\delta F_2^d$, calculated according to the model bbjkshad in the $(x,Q^2)$ points corresponding to the extended NMC measurements, t14. The partonic and the vector meson scattering contributions are also shown.