Limiting temperature of hadrons using states predicted from kappa-deformed Poincar\'e algebra

TL;DR

This paper uses a $ kappa$-deformed Poincare9 algebra to fit and extrapolate hadronic states, revealing a limiting temperature of 400 MeV and addressing the lack of observed states beyond 2 GeV.

Contribution

It introduces a novel application of $ kappa$-deformed Poincare9 algebra to model hadronic states and determine their limiting temperature.

Findings

Experimental data shows no Hagedorn growth beyond 2 GeV.

The theoretical density of states suggests a limiting temperature of 400 MeV.

The model extrapolates undetected states using algebraic deformation.

Abstract

The experimental hadronic density of states dN/dm, assumed to be a sum of normalized Breit- Wigner distributions and plotted as a function of the hadron mass m, fails to show a Hagedorn like growth beyond 2 GeV, probably due to a lack of data. Experimental hadronic states are fitted using $\ka$ -deformed Poincar\'e algebra and the fit is used to extrapolate for including states not detected. For the theoretical density of states the plot is a straight line in the log scale even beyond 2 GeV with a limiting temperature of 400 MeV.