Initial- and final-state temperatures of emission source from differential cross-section in squared momentum transfer in high energy collisions

TL;DR

This study analyzes the transverse momentum spectra of various particles produced in high energy collisions using different statistical models, revealing how initial and final state temperatures vary with collision energy and photon virtuality.

Contribution

It introduces a comprehensive analysis of particle spectra in high energy collisions using Erlang, Tsallis, and Hagedorn models, highlighting temperature trends with energy and virtuality.

Findings

Temperatures increase with higher photon virtuality.

Temperatures decrease as center-of-mass energy increases.

Different statistical models effectively describe the spectra.

Abstract

The differential cross-section in squared momentum transfer of $\rho$, $\rho^0$, $\omega$, $\phi$, $f_{0}(980)$, $f_{1}(1285)$, $f_{0}(1370)$, $f_{1}(1420)$, $f_{0}(1500)$, and $J/\psi$ produced in high energy virtual photon-proton ($\gamma$$^{*} p$), photon-proton ($\gamma p$), and proton-proton ($pp$) collisions measured by the H1, ZEUS, and WA102 Collaborations are analyzed by the Monte Carlo calculations. In the calculations, the Erlang distribution, Tsallis distribution, and Hagedorn function are separately used to describe the transverse momentum spectra of the emitted particles. Our results show that the initial- and final-state temperatures increase from lower squared photon virtuality to higher one, and decrease with increasing of center-of-mass energy.