Geometric Scaling in Inclusive Charm Production

Details Geometric Scaling in Inclusive Charm Production Geometric Scaling in Inclusive Charm Production

2003-07-07

arxiv.org/abs/hep-ph/0307090v2

Phys.Rev.Lett.91:202002,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 2 figures. Version to be published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.91.202002

We show that the cross section for inclusive charm production exhibits geometric scaling in a large range of photon virtualities. In the HERA kinematic domain the saturation momentum $Q_{sat}^2(x)$ stays below the hard scale $\mu_c^2=4m_c^2$, implying charm production probing mostly the color transparency regime and unitarization effects being almost negligible. We derive our results considering two saturation models which are able to describe the DESY ep collider HERA data for the proton structure function at small values of the Bjorken variable $x$. A striking feature is the scaling on $\tau=Q_2^2/Q_{sat}^2(x)$ above saturation limit, corroborating recent theoretical studies.

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