Scaling behavior of (N_ch)^-1dN_ch/dη at √s_NN = 130 GeV by PHOBOS Collaboration and its analyses in terms of stochastic approach

2001/10/24 by M. Biyajima, Biyajima, M., M. Ide +7
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Markov Chains and Monte Carlo Methods #Stochastic processes and statistical mechanics #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0110305

8 pages, 5 figures

arxiv created 2001/10/24 · openalex publication_date 2001/10/24 · arxiv updated 2009/11/30 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

Recently interesting data on dN_ch/dη in Au-Au collisions (η=-ln tan (θ/2)) with the centrality cuts have been reported by PHOBOS Collaboration. Their data are usually divided by the number of participants (nucleons) in collisions. Instead of this way, using the total multiplicity N_ch = ∫ (dN_ch/dη)dη, we find that there is scaling phenomenon among (N_ch)^-1dN_ch/dη= dn/dη with different centrality cuts at √s_NN = 130 GeV. To explain this scaling behavior of dn/dη, we consider the stochastic approach called the Ornstein-Uhlenbeck process with two sources. Moreover, comparisons of dn/dη at √s_NN = 130 GeV with that at √s_NN = 200 GeV have been made. A possible detection method of the quark-gluon plasma (QGP) thorough dn/dη is presented.

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