On statistical mechanics developments of clan concept in multiparticle production

✍ Scribed by M. Brambilla; A. Giovannini; R. Ugoccioni

• Book ID: 103883030
• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 287 KB
• Volume: 387
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2007.10.047

✦ Synopsis

Clan concept has been introduced in multiparticle dynamics in order to interpret the wide occurrence of negative binomial (NB) regularity in n-charged particle multiplicity distributions (MDs) in various high energy collisions.

The centrality of clan concept led to the attempt to justify its occurrence within a statistical model of clan formation and evolution. In this framework all thermodynamical potentials have been explicitly calculated in terms of the NB parameters. Interestingly it was found that NB parameter k corresponds to the one particle canonical partition function.

The goal of this paper is to explore a possible temperature T and volume V dependence of the parameter k in various classes of events in high energy hadron-hadron collisions.

It is shown that the existence of a phase transition at parton level from the ideal clan gas associated to the semihard component with k > 1 to the ideal clan gas of the hard component with k < 1 implies a discontinuity in the average number of particles at hadron level.