Determination of the parameters of a color neutral 3D color glass condensate model

Özönder, Şener

doi:10.1103/physrevd.87.045013

Cited by 8 publications

(12 citation statements)

References 22 publications

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“…Note that we added the factor of two into the definitions in Eqs. (42) and (43). This factor of two arises from the diagrams which are mirror images of each other in the left-right direction.…”

Section: Triple-gluon Inclusive Distribution From Glasmamentioning

confidence: 99%

Triple-gluon and quadruple-gluon azimuthal correlations from glasma and higher-dimensional ridges

Özönder¹

2015

Phys. Rev. D

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We calculate the triple-and quadruple-gluon inclusive distributions with arbitrary rapidity and azimuthal angle dependence in the gluon saturation regime by using glasma diagrams. Also, we predict higher dimensional ridges in triple-and quadruple-hadron correlations for p-p and p-Pb collisions at LHC, which have yet to be measured. In p-p and p-Pb collisions at the top LHC energies, gluon saturation is expected to occur since smaller Bjorken-x values are being probed. Glasma diagrams, which are enhanced at small-x, include gluon saturation effects, and they are used for calculating the long-range rapidity correlations ("ridges") and vn moments of the azimuthal distribution of detected hadrons. The glasma description reproduces the systematics of the data on both p-p and p-Pb ridges. As an alternative, relativistic hydrodynamics has also been applied to these small systems quite successfully. With the triple-and quadruple-gluon azimuthal correlations, this work aims to set the stage by going beyond the double-gluon azimuthal correlations in order to settle unambiguously the origin of "collectivity" in p-p and p-Pb collisions. We derive the triple-and quadruple-gluon azimuthal correlation functions in terms of unintegrated gluon distributions at arbitrary rapidities and azimuthal angles of produced gluons. Then, unintegrated gluon distributions from the running coupling Balitsky-Kovchegov evolution equation are used to calculate the triple-and quadruple-gluon correlations for various parameters of gluon momenta, initial scale for small-x evolution and beam energy.

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Section: Triple-gluon Inclusive Distribution From Glasmamentioning

confidence: 99%

Triple-gluon and quadruple-gluon azimuthal correlations from glasma and higher-dimensional ridges

Özönder¹

2015

Phys. Rev. D

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“…(4) that includes λ mimics confinement through colored noise and hence cures the infrared divergence problem. The correlation length is found to be λ ∼ 1.8 fm from the comparison between the 3dMVn model and measured gluon distribution functions [21]. In the absence of the λdependent term, the spectrum of the correlation function in Eq.…”

Section: Dmvn Modelmentioning

confidence: 85%

“…A Gaussian measure has been assumed for the ensemble average. The average color charge density and its fluctuations at any point in a nucleus are given by [19][20][21] ρ a (x) = 0,…”

Section: Dmvn Modelmentioning

confidence: 99%

“…The parameter space of the model has been explored in Ref. [21] through a comparison between the gluon distribution function calculated from the model and the parametrization of parton distribution functions from the data by Jimenez-Delgado-Reya (JR09) [22]. Note that our approach is somewhat different from the attempts to calculate the rapidity dependence of the initial energy density from UGDs of which the x dependence is extracted from phenomenological fits or from quantum evolution (see, e.g., Ref.…”

Section: Introductionmentioning

confidence: 99%

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Rapidity profile of the initial energy density in heavy-ion collisions

Özönder

Fries

2014

Phys. Rev. C

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The rapidity dependence of the initial energy density in heavy-ion collisions is calculated from a three-dimensional McLerran-Venugopalan model (3dMVn) introduced by Lam and Mahlon. This model is infrared safe since global color neutrality is enforced. In this framework, the nuclei have non-zero thickness in the longitudinal direction. This leads to Bjorken-x dependent unintegrated gluon distribution functions, which in turn result in a rapidity-dependent initial energy density after the collision. These unintegrated distribution functions are substituted in the initial energy density expression which has been derived for the boost-invariant case. We argue that using threedimensional (x-dependent) unintegrated distribution functions together with the boost-invariant energy formula is consistent given that the overlap of the two nuclei lasts less than the natural time scale for the evolution of the fields (1/Qs) after the collision. The initial energy density and its rapidity dependence are important initial conditions for the quark gluon plasma and its hydrodynamic evolution.

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“…To study the hadronic correlations at a greater resolution, we derived triple and quadruple gluon correlations at arbitrary transverse momentum and rapidity dependence in [30] in the Gaussian white noise approximation [33][34][35][36]. The purpose of this paper is to generalize these calculations to arbitrary number of gluons, and provide a formula that generates inclusive n-gluon distribution with full transverse momentum and rapidity dependency.…”

Section: Introductionmentioning

confidence: 99%

Long range azimuthal correlations of multiple gluons in gluon saturation limit

Özönder

2016

Phys. Rev. D

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We calculate the inclusive gluon correlation function for arbitrary number of gluons with full rapidity and transverse momentum dependence for the initial glasma state of the p-p, p-A and A-A collisions. The formula we derive via superdiagrams generates cumulants for any number of gluons. Higher order cumulants contain information on correlations between multiple gluons, and they are necessary for calculations of higher dimensional ridges as well as flow coefficients from multi-particle correlations. * ozonder@uw.edu 2

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Determination of the parameters of a color neutral 3D color glass condensate model

Cited by 8 publications

References 22 publications

Triple-gluon and quadruple-gluon azimuthal correlations from glasma and higher-dimensional ridges

Triple-gluon and quadruple-gluon azimuthal correlations from glasma and higher-dimensional ridges

Rapidity profile of the initial energy density in heavy-ion collisions

Long range azimuthal correlations of multiple gluons in gluon saturation limit

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