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Maps of zeros of the grand canonical partition function in a statistical model of high energy collisions

2005/07/31 by M. Brambilla, Michele Brambilla, Alberto Giovannini +2
Computer Science · Mathematics · Physics and Astronomy · #Bayesian Methods and Mixture Models #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics #hep-ph

paper · pdf · doi:10.1088/0954-3899/32/6/009

published as J.Phys.G32:859-870,2006 · 17 pages, figures (ps included); added references, some figures enlarged. To appear in J. Phys. G

openalex publication_date 2006/05/12 · arxiv created 2006/05/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Theorems on zeros of the truncated generating function in the complex plane are reviewed. When examined in the framework of a statistical model of high energy collisions based on the negative binomial (Pascal) multiplicity distribution, these results lead to maps of zeros of the grand canonical partition function which allow us to interpret in a novel way different classes of events in pp collisions at LHC c.m. energies.

Citations