Journal
NUCLEAR PHYSICS A
Volume 925, Issue -, Pages 254-295Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysa.2014.02.021
Keywords
Parton saturation; Color glass condensate; Gluon production; High energy collisions
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Funding
- U.S. Department of Energy [DE-SC0004286]
- U.S. Department of Energy (DOE) [DE-SC0004286] Funding Source: U.S. Department of Energy (DOE)
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We study the properties of the cross section for two-gluon production in heavy light ion collisions derived in our previous paper [1] in the saturation/Color Glass Condensate framework. Concentrating on the energy and geometry dependence of the corresponding correlation functions we find that the two-gluon correlator is a much slower function of the center-of-mass energy than the one- and two-gluon production cross sections. The geometry dependence of the correlation function leads to stronger azimuthal near- and away-side correlations in the tip-on-tip U + U collisions than in the side-on-side U + U collisions, an exactly opposite behavior from the correlations generated by the elliptic flow of the quark-gluon plasma: a study of azimuthal correlations in the U + U collisions may thus help to disentangle the two sources of correlations. We demonstrate that the cross section for two-gluon production in heavy light ion collisions contains a power-law infrared (IR) divergence even for fixed produced gluon momenta: while saturation effects in the target regulate some of the power-law IR-divergent terms in the lowest-order expression for the two-gluon correlator, other power-law IR-divergent terms remain, possibly due to absence of saturation effects in the dilute projectile. Finally we rewrite our result for the two-gluon production cross-section in a k(T)-factorized form, obtaining a new factorized expression involving a convolution of one- and two-gluon Wigner distributions over both the transverse momenta and impact parameters. We show that the two-gluon production cross-section depends on two different types of unintegrated two-gluon Wigner distribution functions. (C) 2014 Elsevier B.V. All rights reserved.
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