Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-03-03
Nucl.Phys. B582 (2000) 409-450
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, LaTeX, 12 eps-figures included, typos corrected, discussion extended, to appear in NPB
Scientific paper
10.1016/S0550-3213(00)00286-8
We derive the non-abelian generalization of the Furry approximation which describes the transverse dynamical evolution of a hard projectile parton inside a spatially extended colour target field. This provides a unified starting point for the target rest frame description of the nuclear dependence of a large class of observables. For the case of the virtual gamma -> q-qbar photoabsorption cross section, we investigate then in detail under which conditions the nuclear dependence encoded in the Furry wavefunctions can be parametrized by a q-qbar QCD dipole cross section. The important condition is colour triviality, i.e., the property that for arbitrary N-fold rescattering contributions the only non-vanishing colour trace is N_c C_F^N. We give proofs for the colour triviality of the inelastic, diffractive and total photoabsorption cross section measured inclusively or with one jet resolved in the final state. Also, we list examples for which colour interference effects remain. Colour triviality allows us to write the gamma -> q qbar contribution to the DIS nuclear structure function F_2 for small Bjorken x in terms of a path integral which describes the transverse size evolution of the q-qbar pair in the nuclear colour field. This expression reduces in an opacity expansion to the N=1 result of Nikolaev and Zakharov, and in the eikonal approximation to the Glauber-type rescattering formulas first derived by Mueller. In the harmonic oscillator approximation of the path integral, we quantify deviations from the eikonal limit. Their onset is characterized by the scales L/l_f and E_t L which relate the longitudinal extension L of the nuclear target to the coherence length l_f and the total transverse energy E_t accumulated by the q-qbar pair.
No associations
LandOfFree
Transverse Dynamics of Hard Partons in Nuclear Media and the QCD Dipole does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Transverse Dynamics of Hard Partons in Nuclear Media and the QCD Dipole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transverse Dynamics of Hard Partons in Nuclear Media and the QCD Dipole will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-501475