The Analysis Of Experimental Date Of High Energy Heavy Ion Collision With The Method Of Self-Organized Criticality

This paper analyzes experimental data at \58AGeV in Pb+Em collisions by using the method of self-organized criticality (SOC). The experimental data comes from CERN/SPS/EMU01 (EMU12) collaboration.In 1985, conseil europeen pour la recherche nucleaire (CERN) succeeded to collide heavy ions in Super Proton Synchrotron (SPS) for the first time, which extended the research field of nuclear physics to a new energy region. From 1994 to the end of 1996, SPS accelerated lead ion bunch to 158 A GeV. CERN/EMU12 collaboration takes part in the series of above experiments. For our analysis we selected 8 events with large multiplicity, for example in each event multiplicity is greater than 1000, from EMU01(EMU12) database.Firstly the data of polarized angle of flying-out particles is extracted and its distribution (histogram) is given. From the number of particles in two near bins of the histogram, we can calculate the relative fluctuation of particle number. These pictures on relative fluctuations are the same as those of well-known SOC systems. Then we deal with the relative fluctuations as following: take relative fluctuations from small to big and take them as abscissa, the corresponding vertical is the total number that relative fluctuations equal to or bigger than the abscissa. For example, the minimum relative fluctuation corresponds to the total number of all relative fluctuations, the maximum relative fluctuation corresponds to the number of itself. Figure with double logarithm is adopted, hi this way all data points distribute around a straight line with non-zero slope.In a figure with double logarithm coordinates, straight line means the scale invariance of relative fluctuations, i.e. no scale seems special. In mathematics thisproperty can be expressed as power law which is the fingerprint of SOC. This is the newest result in the high-energy heavy ion field.An open complex system which is consist of multi-cell and far from equilibrium can evolve into a critical state through a time-consuming and self-organized process with avalanche dynamics, called self-organized criticality (SOC). The formation of the SOC is the result of dynamics of the system itself, embodies a long-distance spatio-temporal correlation among cells in this system induced by short-distance local interaction and characterized by power distribution.Up to now, research on strong interaction with theory model, such as the diagnosing the signal of quark-gluon plasma existence, mostly based on quark-gluon plasma system in high energy heavy ion collision is in chemical and thermal equilibrium. However gluon can interact with other gluons directly. Gluon can be .assimilated and emitted by other charged matter at any time and in any place. The number of gluon is not conservation, which shows that any gluon system is open and non-equilibrium. Consequently it is necessary and essential to analyze data by using SOC which exists only in non-equilibrium systems.Power law is obtained by analyzing Pb+Em collisions data at 158/4 GeV with the method of SOC. However power law might just mean SOC, i.e. it is a inadequate criterion, so our results couldn't predict the complete existence of SOC in multiplicity production in high energy collisions (SOC means the relative fluctuation studied by us is not surely to be dynamic fluctuations). However, the result gives us enough confidence and courage to probe into a strong interaction theory in multiplicity production of high energy collisions based on non-equilibrium physics.