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We deduce the maximum-entropy state of partons created in proton-proton and nucleus-nucleus collisions. This state is characterized by a distribution function n(x,p_⊥) depending on the light-cone fraction x and the transverse momentum p_⊥ of forward or backward particles, respectively. The mean transverse momentum ⟨p_⊥⟩ determines the single parameter of the maximum entropy distribution which is constrained by the sum of all light-cone momentum fractions being unity. The total multiplicity is related to the transverse area of the colliding Lorentz-contracted hadrons. Assuming parton-hadron duality, we can compare the model to data from RHIC and LHC.
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Pirner et al. (2012) studied this question.
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