Geometrical scaling and the dependence of the average transverse momentum on the multiplicity and energy for the ALICE experiment

We review the recent ALICE data on charged particle multiplicity in p–p collisions, and show that it exhibits Geometrical Scaling (GS) with energy dependence given with characteristic exponent λ=0.22. Next, starting from the GS hypothesis and using results of the Color Glass Condensate effective the...

Full description

Bibliographic Details
Main Authors: Larry McLerran, Michal Praszalowicz
Format: Article
Language:English
Published: Elsevier 2015-02-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269314009277
Description
Summary:We review the recent ALICE data on charged particle multiplicity in p–p collisions, and show that it exhibits Geometrical Scaling (GS) with energy dependence given with characteristic exponent λ=0.22. Next, starting from the GS hypothesis and using results of the Color Glass Condensate effective theory, we calculate 〈pT〉 as a function Nch including dependence on the scattering energy W. We show that 〈pT〉 both in p–p and p–Pb collisions scales in terms of scaling variable (W/W0)λ/(2+λ)Nch/S⊥ where S⊥ is multiplicity-dependent interaction area in the transverse plane. Furthermore, we discuss how the behavior of the interaction radius R at large multiplicities affects the mean pT dependence on Nch, and make a prediction that 〈pT〉 at high multiplicity should reach an energy-independent limit.
ISSN:0370-2693