Studies of Unitarity at Small~$x$ Using the Dipole Formulation

Details Studies of Unitarity at Small~$x$ Using the Dipole Formulation Studies of Unitarity at Small~$x$ Using the Dipole Formulation

1995-09-21

arxiv.org/abs/hep-ph/9509353v1

Nucl.Phys. B461 (1996) 512-538

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages LaTeX2e with 12 figures as appended as uuencoded eps. Uses epsfig. Postscript file for complete paper available from

Scientific paper

10.1016/0550-3213(95)00658-3

Mueller's dipole formulation of onium-onium scattering is used to study unitarity corrections to the BFKL power growth at high energies. After a short discussion of the spatial distribution of colour dipoles in a heavy quarkonium and the associated fluctuations, results are presented showing that the one and two-pomeron contributions to the total cross section are the same at a rapidity $Y \simeq 14$. Above this rapidity the large fluctuations in the onium wave function cause the multiple pomeron series to diverge. Resumming the series allows one to show that unitarity corrections set in gradually for the total cross section, which is dominated by rare, large, configurations of the onia. The elastic cross section comes mostly from much smaller impact parameters and has significant unitarity corrections starting at a rapidity $Y\simeq 8$.

Affiliated with

Also associated with

No associations

Rating

Studies of Unitarity at Small~$x$ Using the Dipole Formulation 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 Studies of Unitarity at Small~$x$ Using the Dipole Formulation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Studies of Unitarity at Small~$x$ Using the Dipole Formulation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-18127