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HK: Fachverband Hadronen und Kerne
HK 67: Poster Session
HK 67.20: Poster
Thursday, March 19, 2009, 14:00–16:00, Audi-Max
Looking for phase transitions of strongly interacting matter applying new method on basic of Random Matrix Theory — •Mais Suleymanov1 and Ehtiram Shahaliev2 — 1CIIT, Islamabad, Pakistan — 2HEPL, JINR, Dubna, Russia
Over the last 25 years a lot of efforts have been made to search for new phases of strongly interacting matter. Heavy ion collisions are of great importance since they open a way to reproduce these phases in the Earth laboratory. But in this case the volume of information increases sharply as well as the background information.
The Ref. [1] introduced a method on the basic of Random Matrix Theory to study the fluctuations of neutron resonances in compound nuclei [1] which doesn’t depend on the background of measurements. To analyze the energetic levels of compound nuclei the function of distances between two energetic levels p(si) is defined as the general distributions for probability of all kinds of ensembles. At values of the index of universality ν=0 it will change to Poisson type distributions pointing to absence of any correlations in the system and at the values of ν=1 it will change to Wigner type behavior directing to some correlation in the studying ensemble.
We discuss that the experimental study of the behavior of p(si) distribution for secondary particles could give a signal on the phase transitions.
References
1. C. E. Porter, Statistical Theories of Spectra: Fluctuations (Academic, New York, 1965)