Eur. Phys. J. C (2006) 48: 597-603
https://doi.org/10.1140/epjc/s10052-006-0026-4

Theoretical Physics

Modified Hagedorn formula including temperature fluctuation: Estimation of temperatures at RHIC experiments

¹ School of General Education, Shinshu University Matsumoto, Matsumoto, 390-8621, Japan
² Toba National College of Maritime Technology, Toba, 517-8501, Japan
³ Center of Medical Information Science, Kochi University, Kochi, 783-8505, Japan
⁴ Department of Comprehensive Management, Matsumoto University, Matsumoto, 390-1295, Japan
⁵ The Andrzej Sołtan Institute for Nuclear Studies, Hoża 69, 00681, Warsaw, Poland

^* e-mail: wilk@fuw.edu.pl

Received: 29 May 2006
Revised: 24 July 2006
Published online: 24 October 2006

Abstract

We have systematically estimated the possible temperatures obtained from an analysis of recent data on p_t distributions observed at RHIC experiments. Using the fact that the observed p_t distributions cannot be described by the original Hagedorn formula in the whole range of transverse momenta (in particular above 6 GeV/c), we propose a modified Hagedorn formula including temperature fluctuation. We show that by using it we can fit p_t distributions in the whole range and can estimate consistently the relevant temperatures, including their fluctuations.