Scaling in $γ^* p$ total cross sections, saturation and the gluon density

Details Scaling in $γ^* p$ total cross sections, saturation and the gluon density Scaling in $γ^* p$ total cross sections, saturation and the gluon density

2001-07-16

arxiv.org/abs/hep-ph/0107178v1

Mod.Phys.Lett. A16 (2001) 1829-1840

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, Latex using epsfig, 6 figures using 8 ps files

Scientific paper

10.1142/S021773230100514X

Including the new HERA data, the $\gamma^* p$ total cross section is analysed in the generalized vector dominance/colour-dipole picture (GVD/CDP) that contains scaling in $\eta = (Q^2 + m^2_0) / \Lambda^2 (W^2)$, where $\Lambda^2 (W^2)$ is an increasing function of $W^2$. At any $Q^2$, for $W^2 \to \infty$, the cross sections for virtual and real photons become identical, $\sigma_{\gamma^* p} (W^2, Q^2) / \sigma_{\gamma p} (W^2) \to 1$. The gluon density deduced from the colour-dipole cross section fulfills the leading order DGLAP relationship. Evolution \`a la DGLAP breaks down for $\eta \lsim 0.1$.

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