Comparing standard distribution and its Tsallis form of transverse momenta in high energy collisions

TL;DR

This study compares the standard and Tsallis distributions in fitting transverse momentum spectra from high-energy nuclear collisions across various energies, revealing insights into their parameters and effective temperatures.

Contribution

It introduces a comparative analysis of standard and Tsallis distributions for transverse momentum spectra in high-energy collisions, including excitation functions and temperature relations.

Findings

Effective temperatures are extracted from both distributions.

The relation between the two types of temperatures is analyzed.

Parameters of the distributions vary with collision energy.

Abstract

In this paper, the experimental (simulated) transverse momentum spectra of negatively charged pions produced at mid-rapidity in central nucleus-nucleus collisions at the Heavy Ion Synchrotron (SIS), Relativistic Heavy Ion Collider (RHIC), and Large Hadron Collider (LHC) energies obtained by different collaborations are selected by us to investigate, where a few simulated data are taken from the results of FOPI Collaboration who uses the IQMD transport code based on Quantum Molecular Dynamics. A two-component standard distribution and the Tsallis form of standard distribution are used to fit these data in the framework of a multisource thermal model. The excitation functions of main parameters in the two distributions are analyzed. In particular, the effective temperatures extracted from the two-component standard distribution and the Tsallis form of standard distribution are obtained, and the relation between the two types of effective temperatures is studied.