2020/06/21 by E. Gotsman, E. Levin · 1 citation
Physics and Astronomy · #hep-ph
paper · pdf · doi:10.1103/physrevd.102.074008
published as Phys. Rev. D 102, 074008 (2020) · 22pp. 14 figures in pdf file
arxiv created 2020/06/21 · arxiv updated 2020/10/21
In this paper we show that QCD at high energies leads to the multiplicity distribution \fracσnσ \rm in = (1)/(N) \Lb (N - 1)/(N)\Rbn - 1, (where N denotes the average number of particles), and to entanglement entropy S = ln N, confirming that the partonic stat at high energy is maximally entangled. However, the value of N depends on the kinematics of the parton cascade. In particular, for DISN = xG(x,Q) , where xG is the gluon structure function, whil for hadron-hadron collisions, N ∝ Q2S(Y), where Qs denotes the saturation scale. We checked that this multiplicity distribution describes the LHC data for low multiplicities n < (3 ÷5) N, exceeding it for larger values of n. We view this as a result of our assumption, that the system of partons in hadron-hadron collisions atc.m. rapidity Y=0 is dilute. We show that the data can be described at large multiplicities in the parton model, if we do not make this assumption.