Imaging Analysis For Granular Sources In High Energy Heavy Ion Collisions

Imaging technique is a common method which people use to analyze the 2Ï€intensity interferometry.It was introduced to the field of high energy heavy ion collisions by Brown and Danielewicz.In this paper,a imaging analysis for the granular inhomogeneous sources in high energy heavy ion collisions is examined.The physical basis of the 2Ï€intensity interferometry technique is that there exist correlated effects due to the exchange symmetrization involving identical particles of their wave unctions,a consequence of the quantum statistics.It is applied to investigate the Bose-Einstein correlations of final identical particles produced in high-energy heavy ion collisions,and to explore the space-time structure,the degree of coherence,and the dynamic information of the emitting source.Thus it is indispensable for the explo-ration of the properties and the equation of state of nuclear matter in high temperature and density,and for the characteristics and formation of a granular structure of QGP.In this thesis the author outlines the high-energy nuclear physics and the basic theory of 2Ï€intensity interferometry using the path integral method,and illustrates the relationship between Source fuction and Density distribution function.Then the"HBT puzzle" of RHIC and the explanation by granular source model for the puzzle is talked.The author introduces in detail Imaging technique,as the basis for discussion,the author investigates the source imaging for a one-dimensional Gaussian pion-emitting source model.And then the author analyzes one-dimensional static granular source model for different conditions using the imaging technique,and shows the characteristics of the Source ruction of granular source.1-d granular source with QGP evolving hydrodynamically To further study,hydrodynamics modelos source is be introduced,and the author investigates the source imaging for 1-d granular and 3-d granular source with QGP evolving hydrodynamically.Finally,a summary and discussion are presented.The 2Ï€correlation functions for Gaussian distribution of granular source of co-herent droplets and the Fourier transform of this two-particle correlations exhibits large fluctuations, which can provide signatures of granular structure of QGP in rela-tivistic heavy ion collisions.It shows that the imaging technique developed by Brown and Danielewiczis can be used to investigate the granular structure of the source.The source function for the granular source model exhibits a wave-like shape which reflects the more complex structure of the granular source than that for Gaussian source model.Maybe,this complex structure is the cause of the"HBT puzzle".