{"arxiv_id":"hep-ph/0306279","incoming":{"papers":34,"sentences":44,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2402.19134","title":"Photon-Odderon interference in exclusive $\\chi_{c}$ charmonium production at the Electron-Ion Collider","url":"/paper/2402.19134","section":"Odderon amplitude and its evolution with $x$","sentence":"To determine $(,)$ for $x_<x_0$ we solve the impact parameter dependent [ref] extension of the Balitsky-Kovchegov (BK) equation (with running coupling kernel – rcBK) to the coupled non-linear evolution equations for the Pomeron and the Odderon derived in Refs. [ref] and analyzed in Refs. [ref] .","intent_p":0.82,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1902.05087","title":"Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate","url":"/paper/1902.05087","section":"IP-Sat model","sentence":"Note that, independent of $|𝐛|$, the IP-Sat model always parameterizes the long distance behavior as $𝒩→1$ for $|𝐫|→∞$, in contrast to the CGC computation for finite systems [ref] .","intent_p":0.85,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2308.10136","title":"Imaging constituent quark shape of proton with exclusive vector meson production at HERA","url":"/paper/2308.10136","section":"Dipole cross-section","sentence":"However, we will not use the BK evolution equation in this work, since the impact parameter dependence of the dipole scattering amplitude $N$ is a key aspect to calculate the diffractive scattering amplitude in Eq.([ref]), the numerical studies of the JIMWLK and BK equations showed that their numerical solutions develop unphysical Coulomb tails once the impact parameter dependence is included [ref] .","intent_p":0.98,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"2002.11056","title":"Predictions for nuclear structure functions from the impact-parameter dependent Balitsky-Kovchegov equation","url":"/paper/2002.11056","section":"Introduction","sentence":"The first attempt at solving the BK equation including the impact-parameter dependence [ref] found that the solutions developed so-called Coulomb tails: an unphysical grow of the amplitude at large impact parameters.","intent_p":0.83,"contests_p":null},{"arxiv_id":"0803.0446","title":"On the High Energy Behaviour of The Total Cross Section in the QCD Dipole Model","url":"/paper/0803.0446","section":"The BFKL Growth","sentence":"A detalied numerical study of the BK equation with impact parameter dependence was performed in [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"2205.02396","title":"Exclusive vector meson productions with the analytical solution of Balitsky-Kovchegov Equation","url":"/paper/2205.02396","section":"Introduction","sentence":"The influence of impact parameter b was numerically analyzed for BK equation in [ref] .","intent_p":0.95,"contests_p":null},{"arxiv_id":"0901.4949","title":"Exact kinematics in the small x evolution of the color dipole and gluon cascade","url":"/paper/0901.4949","section":"Diffusion in impact parameter space","sentence":"Recall first the leading-logarithmic analysis from [ref] where the power tails in impact parameter space were shown to emerge just after the first step in the evolution in rapidity of the BFKL and BK equations.","intent_p":0.88,"contests_p":null}]}],"unlabelled_sentences":37},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-ph/0306279"}}