Looking For Disoriented Chiral Condensates From Pion Distributions

Details Looking For Disoriented Chiral Condensates From Pion Distributions Looking For Disoriented Chiral Condensates From Pion Distributions

1999-08-03

arxiv.org/abs/nucl-th/9908013v1

Phys.Rev. C60 (1999) 054902

Physics

Nuclear Physics

Nuclear Theory

16 pages in REVTeX, 7 figures. Combined and updated version of nucl-th/9903029 and nucl-th/9904074. Accepted by Phys. Rev. C

Scientific paper

10.1103/PhysRevC.60.054902

We suggest two methods for the detection of the formation of disoriented chiral condensates in heavy ion collisions. We show that the variance in the number of charged pions (in a suitable range of momentum space) provides a signature for the observation of a disoriented chiral condensate. The signal should be observable even if multiple domains of D$\chi$C form provided the average number of pions per domain is significantly larger than unity. The variance of the number charged pions alone provides a signal which can be used even if the number of neutral pions cannot be measured in a given detector. On the other hand, the probability distribution in $R$, the proportion of neutral pions to all pions emitted in heavy ion collisions in certain kinematic regions, has been suggested as a signal of a disoriented chiral condensate. Here we note that the signature can be greatly enhanced by making suitable cuts in the data. In particular, we consider reducing the data set such that the $k$ pions with lowest $p_T$ are all neutral. We find that, given such cuts, $$ can be substantially different from 1/3. For example, for a single D$\chi$C domain without contamination due to incoherently emitted pions, $$ is 3/5 given the pion with lowest $p_T$ is neutral, and 5/7 given the two pions with lowest $p_T$ are both neutral, {\it etc.}. The effects of multi-domain D$\chi$C formation and noise due to incoherent pion emission can be systematically incorporated. Potential applications to experiments and their limitations are briefly discussed.

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