Scaling in γ∗pγ^* p total cross sections and the generalized vector dominance/color dipole picture

preprint2001arXivOpen access

Abstract

The scaling in σγ∗pσ_{γ^*p} cross sections (for Q2/W2<<1Q^2/W^2 << 1) in terms of the scaling variable η=(Q2+m02)/Λ2(W2)η= (Q^2 + m^2_0)/Λ^2 (W^2) is interpreted in the generalized vector dominance/color-dipole picture (GVD/CDP). The quantity Λ2(W2)Λ^2 (W^2) is identified as the average gluon transverse momentum absorbed by the qqˉq \bar q state, <l⃗ 2>=(1/6)Λ2(W2)<\vec l^{~2}> = (1/6) Λ^2 (W^2). At any Q2Q^2, for W2→∞W^2 \to \infty,the cross sections for virtual and real photons became universal, σγ∗p(W2,Q2)/σγp(W2)→1σ_{γ^*p}(W^2,Q^2)/σ_{γp}(W^2) \to 1.

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