Disoriented chiral condensates and quantum mechanical isospin correlation

Abstract

Classical considerationss suggest that the probability distribution P( R), where R is the ratio of neutral pions to total pions emitted from a disoriented chiral condensate (which has been hypothesized to form in heavy ion reactions) is R −1 2 2 . Quantum mechanical isospin correlations between the condensate and the remainder of the system can alter this. Moments of the P( R) distribution can be expressed in term of expectation values of ( I 2 N 2 ) m where I is the isospin carried by the condensate, N is the number of pions emitted and m is an arbitrary integer. We find that the probability distribution is very similar to the classical distribution for 0.1< R<0.9 unless the isospin carried by the condensate is very large.