Geometrical scaling for identified particles

TL;DR

This paper demonstrates that identified particle spectra in high-energy collisions follow geometrical scaling in a specific variable, leading to predictable energy dependence of multiplicities and transverse momenta, and links Tsallis temperature to saturation scale.

Contribution

It introduces a new geometrical scaling variable for identified particles and explores its implications on spectra and energy dependence, connecting Tsallis temperature to saturation physics.

Findings

Transverse momentum spectra exhibit geometrical scaling in the defined variable.

Mid rapidity multiplicity and mean transverse momentum grow as powers of energy.

Tsallis temperature is related to the average saturation scale.

Abstract

We show that recently measured transverse momentum spectra of identified particles exhibit geometrical scaling (GS) in scaling variable $\tau_{\tilde{m}_{\rm T}}=(\tilde{m}_{\rm T}/Q_0)^{2} (\tilde{m}_{\rm T}/ W)^{\lambda}$ where $\tilde{m}_{\rm T}=\sqrt{m^2+p^2_{\rm T}}-m$. We explore consequences of GS and show that both mid rapidity multiplicity and mean transverse momenta grow as powers of scattering energy. Furthermore, assuming Tsallis-like parametrization of the spectra we calculate the coefficients of this growth. We also show that Tsallis temperature is related to the average saturation scale.