Impact-Parameter Dependent Nuclear Parton Distribution Functions: EPS09s and EKS98s and Their Applications in Nuclear Hard Processes

May, 2012
36 pages
Published in:
  • JHEP 07 (2012) 073
e-Print:
Report number:
  • CERN-PH-TH-2012-145

Citations per year

201220152018202120240102030
Abstract: (arXiv)
We determine the spatial (impact parameter) dependence of nuclear parton distribution functions (nPDFs) using the AA-dependence of the spatially independent (averaged) global fits EPS09 and EKS98. We work under the assumption that the spatial dependence can be formulated as a power series of the nuclear thickness functions TAT_A. To reproduce the AA-dependence over the entire xx range we need terms up to [TA]4[T_A]^4. As an outcome, we release two sets, EPS09s (LO, NLO, error sets) and EKS98s, of spatially dependent nPDFs for public use. We also discuss the implementation of these into the existing calculations. With our results, the centrality dependence of nuclear hard-process observables can be studied consistently with the globally fitted nPDFs for the first time. As an application, we first calculate the LO nuclear modification factor RAA1jetR^{1jet}_{AA} for primary partonic-jet production in different centrality classes in Au+Au collisions at RHIC and Pb+Pb collisions at LHC. Also the corresponding central-to-peripheral ratios RCP1jetR_{CP}^{1jet} are studied. We also calculate the LO and NLO nuclear modification factors for single inclusive neutral pion production, RdAuπ0R_{dAu}^{\pi^0}, at mid- and forward rapidities in different centrality classes in d+Au collisions at RHIC. In particular, we show that our results are compatible with the PHENIX mid-rapidity data within the overall normalization uncertainties given by the experiment. Finally, we show our predictions for the corresponding modifications RpPbπ0R_{pPb}^{\pi^0} in the forthcoming p+Pb collisions at LHC.
Note:
  • 36 pages
  • Nuclear PDFs
  • hard processes
  • centrality dependence
  • nucleus+nucleus collisions
  • deuterium+nucleus collisions
  • proton+nucleus collisions
  • parton: distribution function
  • impact parameter: dependence
  • pi: production
  • heavy ion: scattering