Kaon And Pion Interferometry For Granular Inhomogeneous Sources

High energy heavy ion collisions provide a tool for people to study experimentally the properties of the nuclear matter at high temperatures and densities, and to explore the quark-gluon plasma (QGP) which has been existed in the extreme early universe big bang. In ultra-relativistic heavy ion collisions, the initial fluctuations of system may lead to granular inhomogeneous particle-emitting sources. HBT (Hanbury-Brown-Twiss) intensity interferom-etry is a valid technique to investigate the granular inhomogeneity in space of the sources.In this thesis, we introduce briefly the purpose of high energy heavy ion collisions and the main steps in experiment, the granular source model of QGP droplets, and the Heavy-Ion Jet Interaction Generator (HIJING). Then, we introduce in chapter two the fundamental theory of HBT intensity interferometry, the technique of fast Fourier transformation (FFT) for extracting the source function, and the hydrodynamic evolution equations. In chapter three, we calculate the single-and mixed-event HBT correlation functions of the kaons and pions exitted from the granular inhomogeneous hydrodynamic sources with the HIJING fluctuating initial conditions. The investigations indicate that there are fluctuations in the kaon and pion single-event HBT correlation functions because the fluctuations of source density may be kept long time. These fluctuations are canceled in the mixed-event correlation functions. In chapter four, we extract the source functions from the HBT correlation functions and the improved correlation functions. The fluctuations of the source functions of kaon and pion single-event are analyzed. These fluctuations of source functions provide more directed information for the granular inhomogeneous structure of the particle-emitting sources in high energy heavy ion collisions.