Abstract

The centrality dependencies of the inclusive neutral pion and prompt photon nuclear modification factors for p+Pb collisions at the LHC are studied using a spatially dependent set of nuclear PDFs, EPS09s. The calculations are performed at mid- and forward rapidities searching for an observable which would optimally probe the spatial dependence of the nuclear PDFs. In addition, we discuss to which x values of the nucleus the different observables are sensitive.

Highlights

  • In the framework of collinear factorization [1, 2], the cross section for producing a hard parton k in a nuclear collision can be calculated as dσAB→k+X =fiA(x1, Q2) ⊗ fjB(x2, Q2) ⊗ dσij→k+X + O(1/Q2), (1)i,j,X where fiA(x, Q2)s are the nuclear parton distribution functions describing the number distributions of parton i at given values of momentum fraction x and scale Q for nucleus A

  • In Ref. [9] we addressed this problem by developing a model framework for spatially dependent nuclear parton distribution functions (nPDFs) which is described

  • Centrality dependent nuclear modification factor Incorporating the spatially dependent nPDFs into the factorization formula (1) and multiplying this with the nuclear overlap function gives the yield of hard partons k corresponding to a specific impact parameter b in a collision of nuclei A and B as follows: dN AB→k+X (b) = d2s TA(s1) TB(s2)

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Summary

Introduction

It has been observed that the nPDFs, if they exist, are modified with respect to the free proton PDFs [3, 4, 5, 6]. This modification can be made explicit by decomposing the nPDFs as fiA(x, Q2) = RiA(x, Q2) fiN (x, Q2),. More predictions for p+Pb collisions at the LHC with other approaches can be found from compilation [10]

Framework
Centrality classes
Inclusive neutral pion production
Inclusive prompt photon production
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