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HK: Fachverband Hadronen und Kerne

HK 67: Poster Session

HK 67.20: Poster

Donnerstag, 19. März 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(s_i) 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(s_i) 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)