Singlet structure function at small x: Unitarization of gluon ladders

Gribov, L.V.; Levin, E.; Ryskin, M. G.

doi:10.1016/0550-3213(81)90007-9

Cited by 164 publications

(169 citation statements)

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“…First, the evolution predicts a steep growth of parton distributions in the region of low x which contradicts the unitarity constraints [2]. Hence, we can expect large corrections to the DGLAP evolution equation, at least in the region of low x.…”

Section: Introductionmentioning

confidence: 89%

“…However, when the parton density becomes large, annihilation processes become active and they suppress the gluon radiation and, so, they tame the rapid increase of the parton densities at a new saturation scale Q s (x) [2,6,7]. The theoretical approach as well as understanding the physics of parton saturation is one of the most challenging problem of QCD which has stimulated the development of new methods [2,6,7,8,9,10,11,12], surprisingly, all approaches lead to the same nonlinear evolution equation.…”

Section: A New Approach To Dismentioning

confidence: 99%

“…(2.1) was suggested in the momentum representation by Gribov, Levin and Ryskin [2] and it was proved in the double log approximation of perturbative QCD by Mueller and Qiu [6], in Wilson Loop Operator Expansion at high energies by Balitsky [10], in color dipole approach [13] to high energy scattering in QCD by Kovchegov [11] and in the effective Lagrangian approach for high parton density QCD by Iancu, Leonidov and McLerran (see Ref. [12] and Refs.…”

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confidence: 99%

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Nonlinear evolution and parton distributions at LHC and THERA energies

et al. 2001

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We suggest a new procedure for extrapolating the parton distributions from HERA energies to higher energies at THERA and LHC. The procedure suggested consists of two steps: first, we solve the non-linear evolution equation which includes the higher twists contributions, however this equation is deficient due to the low (log(1/x)) accuracy of our calculations. Second, we introduce a correcting function for which we write a DGLAP type linear evolution equation. We show that this correcting function is small in the whole kinematic region and decreases at low x. The nonlinear evolution equation is solved numerically and first estimates for the saturation scale, as well as for the value of the gluon density at THERA and LHC energies are made. We show that non-linear effects lead to damping of the gluon density by a factor of 2 ÷ 3 at x ≈ 10 −7 .

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Section: Introductionmentioning

confidence: 89%

Section: A New Approach To Dismentioning

confidence: 99%

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confidence: 99%

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Nonlinear evolution and parton distributions at LHC and THERA energies

et al. 2001

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“…Therefore, we use the Color Glass Condensate formalism [10,11] to describe the target nucleus. On the other hand, since the projectile deuteron or nucleus is mainly probed at large x, it is treated as a collection of partons, in this case, quarks and anti-quarks.…”

Section: Introductionmentioning

confidence: 99%

Production of forward rapidity photons in high energy heavy ion collisions

Jalilian‐Marian

2005

Nuclear Physics A

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We consider production of prompt photons in high energy gold-gold and deuterongold collisions in the forward rapidity region of RHIC (y ∼ 3.8). In this kinematics, the projectile partons typically have large x bj while the target partons are mostly at very small x bj so that the primary partonic collisions involve valence quarks from the projectile and gluons from the target. We take the target nucleus to be a Color Glass Condensate while the projectile deuteron or nucleus is treated as a dilute system of partons. We show that the photon production cross section can be written as a convolution of a quark-nucleus scattering cross section, involving a quark antiquark dipole, with the Leading Order quark-photon fragmentation function. We consider different models of the quark anti-quark dipole and show that measurement of photons in the forward rapidity region at RHIC can distinguish between different parameterizations of the dipole cross section as well as help clarify the role of parton coalescence models in hadron production at RHIC.

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“…, where R is the radius of a nucleon, the gluons will begin to overlap and recombination of these gluons will limit the growth of xG(x, Q 2 ) with decreasing x [129,130].…”

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confidence: 99%