Structure function of the nucleus in the perturbative QCD with N(c) ---> infinity (BFKL pomeron fan diagrams)
Jan, 200013 pages
Published in:
- Eur.Phys.J.C 16 (2000) 337-347
e-Print:
- hep-ph/0001268 [hep-ph]
Report number:
- LU-TP-00-06
Citations per year
Abstract:
Equation for the sum of BFKL pomeron fan diagrams is rederived by direct summation and solved numerically for rapidities . At high rapidities y>20 the resulting cross-sections for the scattering of a longitudinally polarized pair on the nucleus cease to depend on its transverse dimension and tend to a constant limit 0.1768 , which corresponds to scattering of a colour dipole on a black disk. Thus the unitarity is restored and the singularity in the j plane is reduced to a simple pole at j=1.The nuclear structure function at small x behaves as . The found gluon density has a soliton-like form in the space: its form is close to Gaussian, independent of rapidity, the centermoving towards higher with a nearly constant velocity as rapidity increases.- nucleus: structure function
- lead
- quantum chromodynamics: perturbation theory
- expansion 1/N: color
- exchange: pomeron
- Lipatov equation
- gluon: momentum spectrum
- color: dipole
- Feynman graph
- rapidity
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