Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-07-07
Phys.Rev. D69 (2004) 014011
Physics
High Energy Physics
High Energy Physics - Phenomenology
Version 2 adds few references and their discussion, streamline the introduction and correct some numerical errors in the plots
Scientific paper
10.1103/PhysRevD.69.014011
We derive the semiclassical (instanton-induced) contribution to the inelastic cross section of two color dipoles at large $\sqrt{s}$. We study its dependence on the dipole sizes, orientations and, most importantly, the impact parameter. The inelastic cross section is approximately quadratic in the dipole sizes, and Gaussian-like in the impact parameter with a width of the order of the instanton size. These results are directly relevant to double DIS $\gamma^*\gamma^*$, as well as $\gamma^*\gamma$ and standard DIS $\gamma^* h$ at small x when a real photon and a hadron can be approximated by a dipole. For such cases, with one small dipole scattering on a large dipole, the impact parameter profile exhibits a width of about 1/2 fm, which is in good agreement with the impact parameter profile recently extracted from DIS HERA data, including diffractive $\gamma^*\to J/\psi$.
Shuryak Edward V.
Zahed Ismail
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