Comparing Erlang distribution and Schwinger mechanism on transverse momentum spectra in high energy collisions

TL;DR

This paper compares two theoretical models, Erlang distribution and Schwinger mechanism, for describing the transverse momentum spectra of J/psi and Upsilon mesons in high-energy collisions, showing both agree with experimental data.

Contribution

It introduces a comparative analysis of Erlang distribution and Schwinger mechanism models applied to meson spectra in high-energy collisions, extracting relevant physical parameters.

Findings

Both models agree with LHC experimental data.

Parameters like mean transverse momentum and string tension are extracted.

The models provide consistent descriptions across different collision types.

Abstract

We study the transverse momentum spectra of J/psi and Upsilon mesons by using two methods: the two-component Erlang distribution and the two-component Schwinger mechanism. The results obtained by the two methods are compared and found to be in agreement with the experimental data of proton-proton (pp), proton-lead (p-Pb), and lead-lead (Pb-Pb) collisions measured by the LHCb and ALICE Collaborations at the large hadron collider (LHC). The related parameters such as the mean transverse momentum contributed by each parton in the first (second) component in the two-component Erlang distribution and the string tension between two partons in the first (second) component in the two-component Schwinger mechanism are extracted.