Non-Extensive Transverse Momentum Distribution For Identified Particles at $\sqrt{S_{NN}}= $ 7.7, 11.5, 19.6, 27, 39 \hspace{0.05cm} GeV

TL;DR

This study analyzes transverse momentum distributions of charged particles and $ ext{Lambda}$ particles in AuAu collisions at various energies using Tsallis distribution, revealing insights into particle ratios and the 'horn' phenomenon.

Contribution

It applies Tsallis distribution to experimental data across multiple energies, providing new insights into particle spectra and ratios in heavy-ion collisions.

Findings

Tsallis distribution fits the data well at various energies.

The 'horn' in particle ratios disappears with Tsallis analysis.

The puzzle of the 'horn' remains unresolved in experimental results.

Abstract

The transverse momentum distribution of charged particles formed in AuAu collisions at Beam Energy Scan (BES) ($\sqrt{S_{NN}}=$ 7.7, 11.5, 19.6, 27, 39 $\hspace{0.05cm} GeV$) is investigated. In addition, $ P_{T}$ spectra of $\Lambda$ particle at $\sqrt{S_{NN}}$=62.4 $\hspace{0.03cm} GeV$ was examined. Tsallis distribution is used to extract the temperature, volume and the entropic index from the experimental results at mid-rapidity and zero chemical potential. We measure some particle ratios like $ \frac{k^{+}}{\pi^{+}} $ and $ \frac{\Lambda}{\pi^{-}} $ which are puzzling horn in the experiment and in the thermal model. We conclude that the horn vanished when we used Tsallis distribution, but this does not confirm a solution to the puzzle, which is primarily visible in the experimental results.