{"arxiv_id":"hep-ph/0306279","title":"On solutions of the Balitsky-Kovchegov equation with impact parameter","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.","primary_cat":"hep-ph","cross_cats":[],"submitted_at":"2003-06-27T16:52:08+00:00","latest_version":2,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":"CONDITIONAL","confidence":"HIGH","one_line_summary":"Solving the Balitsky-Kovchegov equation with impact parameter numerically, the authors find power-law tails in impact parameter that make the cross section violate the Froissart bound despite nonlinear saturation.","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","upvotes":0,"downvotes":0,"pith_score":0,"inbound_count":26,"_links":{"html":"https://pith.science/paper/hep-ph/0306279","verdict":"/api/v1/verdicts/hep-ph/0306279"}}