English

The $\gamma^* \lowercase{p}$ total cross section at low x

High Energy Physics - Phenomenology 2007-05-23 v2

Abstract

The scaling in σγp(W2,Q2)\sigma_{\gamma^*p}(W^2, Q^2) cross sections (for Q2/W2<<1Q^2/W^2 << 1) in terms of the scaling variable η=(Q2+m02)/Λ2(W2)\eta = (Q^2 + m^2_0)/\Lambda^2 (W^2) is interpreted in the generalized vector dominance/color-dipole picture (GVD/CDP). The quantity Λ2(W2)\Lambda^2 (W^2) is identified as the average gluon transverse momentum absorbed by the qqˉq \bar q state, <l 2>=(1/6)Λ2(W2)<\vec l_\bot^{~2}> = (1/6) \Lambda^2 (W^2). At any Q2Q^2, for W2W^2 \to \infty, the cross sections for virtual and real photons become universal,σγp(W2,Q2)/σγp(W2)1\sigma_{\gamma^*p}(W^2,Q^2)/ \sigma_{\gamma p} (W^2) \to 1. The gluon density corresponding to the color-dipole cross section in the appropriate limit is found to be consistent with the results from QCD fits.

Cite

@article{arxiv.hep-ph/0110311,
  title  = {The $\gamma^* \lowercase{p}$ total cross section at low x},
  author = {D. Schildknecht},
  journal= {arXiv preprint arXiv:hep-ph/0110311},
  year   = {2007}
}

Comments

8 pages, Latex using psfig, 5 figures Invited Talk presented at the XXXVth Internat. School of Theoretical Physics, Ustron, Poland, Sept. 10-16, 2001 and at the Internat. Conf. "New Trends in High-Energy Physics", Yalta, Crimea, Ukraine, Sept. 22-29, 2001

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