Abstract
We numerically analyze the Balitsky-Kovchegov equation with the full dependence on impact parameter b. We show that due to a particular b-dependence of the initial condition the amplitude decreases for large dipole sizes r. Thus the region of saturation has a finite extension in the dipole size r, and its width increases with rapidity. We also calculate the b-dependent saturation scale and discuss limitations on geometric scaling. We demonstrate the instant emergence of the power-like tail in impact parameter, which is due to the long range contributions. Thus the resulting cross section violates the Froissart bound despite the presence of a nonlinear term responsible for saturation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 345-363 |
| Number of pages | 19 |
| Journal | Nuclear Physics B |
| Volume | 668 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Sep 22 2003 |
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All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
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On solutions of the Balitsky-Kovchegov equation with impact parameter. / Golec-Biernat, K.; Stasto, Anna.
In: Nuclear Physics B, Vol. 668, No. 1-2, 22.09.2003, p. 345-363.Research output: Contribution to journal › Article
TY - JOUR
T1 - On solutions of the Balitsky-Kovchegov equation with impact parameter
AU - Golec-Biernat, K.
AU - Stasto, Anna
PY - 2003/9/22
Y1 - 2003/9/22
N2 - We numerically analyze the Balitsky-Kovchegov equation with the full dependence on impact parameter b. We show that due to a particular b-dependence of the initial condition the amplitude decreases for large dipole sizes r. Thus the region of saturation has a finite extension in the dipole size r, and its width increases with rapidity. We also calculate the b-dependent saturation scale and discuss limitations on geometric scaling. We demonstrate the instant emergence of the power-like tail in impact parameter, which is due to the long range contributions. Thus the resulting cross section violates the Froissart bound despite the presence of a nonlinear term responsible for saturation.
AB - We numerically analyze the Balitsky-Kovchegov equation with the full dependence on impact parameter b. We show that due to a particular b-dependence of the initial condition the amplitude decreases for large dipole sizes r. Thus the region of saturation has a finite extension in the dipole size r, and its width increases with rapidity. We also calculate the b-dependent saturation scale and discuss limitations on geometric scaling. We demonstrate the instant emergence of the power-like tail in impact parameter, which is due to the long range contributions. Thus the resulting cross section violates the Froissart bound despite the presence of a nonlinear term responsible for saturation.
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U2 - 10.1016/j.nuclphysb.2003.07.011
DO - 10.1016/j.nuclphysb.2003.07.011
M3 - Article
VL - 668
SP - 345
EP - 363
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 1-2
ER -