Disoriented Chiral Condensates, Pion Probability Distributions and Parallels with Disordered System

Abstract

A general expression is discussed for pion probability distributions coming from relativistic heavy ion collisions. The general expression contains as limits: 1) The disoriented chiral condensate (DCC), 2) the negative binomial distribution and Pearson type III distribution, 3) a binomial or Gaussian result, 4) and a Poisson distribution. This general expression approximates other distributions such as a signal to noise laser distribution. Similarities and differences of the DCC distribution with these other distribution are studied. A connection with the theory of disordered systems will be discussed which include spin-glasses, randomly broken objects, random and chaotic maps.

5 pages, 1 figure included

References in corpus (3)

• Analytic Solution of the Pion-Laser Model
• Various Models for Pion Probability Distributions from Heavy-Ion Collisions
• Randomly Broken Nuclei and Disordered Systems

Cited by in corpus (3)

• Fluctuations in the Statistical Model of Relativistic Heavy Ion Collisions
• Fragmented perspective of self-organized criticality and disorder in log gravity
• Critical Exponents and Particle Multiplicity Distributions in High Energy Collisions