Two-component model in quantum statistical framework compared with multiplicity distributions in proton-proton collisions at energies up to $\sqrt {s}$ = 7 TeV

TL;DR

This study analyzes charged particle multiplicity distributions in high-energy proton-proton collisions using a quantum statistical two-component model, revealing discrepancies between the model predictions and experimental data at energies up to 7 TeV.

Contribution

The paper introduces a quantum statistical two-component model combining Negative Binomial and Poisson distributions to analyze multiplicity data at LHC energies, highlighting its limitations.

Findings

Model describes multiplicity distributions but fails to match data at 7 TeV.

Scaling law involving information entropy is not obeyed by the data.

Discrepancies suggest the need for refined models or additional components.

Abstract

Proton-proton collisions at new high energies ($\sqrt {s} =$ 2.36 and 7 TeV) at LHC resulted into greater mean multiplicities ($<n>$) of charged particles in the mid-rapidity region than estimated ones by different models and event generators. Another significant observation in multiplicity data is the change in slope in the distribution of primary charged hadrons in symmetric pseudorapidity interval $|\eta|<$2.4. The change is most prominent with data at $\sqrt{s} = 7$ TeV. These new observations merit further studies. We consider a two-component model of particle production to analyze multiplicity distributions of charged hadrons from proton-proton collisions at centre-of-mass energies $\sqrt{s} = $ 0.9, 2.36 and 7 TeV in symmetric pseudorapidity intervals $|\eta|$ of increasing width around the centre-of-mass pseudorapidity $\eta_{cm} = 0$. The model, based on quantum statistical (QS) formalism, describes multiplicity distribution by convolution of a Negative Binomial Distribution (NBD), representing a chaotic component, and a Poisson Distribution (PD), representing a coherent component of particle productions. The behaviour of characteristic parameters of the model is followed by the LHC data, while a scaling law, involving information entropy in quantum statistical viewpoint and derived as a function of chaotic multiplicity obtained from the two-component model, is not obeyed by the data, satisfactorily. An attempt to match the measured multiplicity distributions and suggested convolutions with values of characteristic parameters extracted from the data confirms disagreement between the data and the model.