Granular Structures Of Source By Single-Event Intensity Interferometry

The intensity interferometry technique has been a developed method for the studyof high-energy nuclear physics. The physical basis of it is that there exist correlatedeffects due to the exchange symmetrization involving identical particles of their wavefunctions, a consequence of the quantum statistics. It is applied to investigate theBose-Einstein correlations of final identical particles produced in high-energy heavyion collisions, and to explore the space-time structure, the degree of coherence, andthe 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 temperatureand density, and for the characteristics and formation of a granular structure of QGP.Compared with multievent intensity interferometry, single-event intensity inter-ferometry analysis is more sensitive to some properties of the granular source. There-fore it can be used to confirm the occurrence and to gain the signature of a granularstructure of QGP in relativistic heavyion collisions.In this thesis the author outlines the history, present and future of the intensityinterferometry, derives in detail the principal formalism of two-particle correlations.On the basis of it, three kinds of different density distribution of granular source arediscussed, and the two-particle correlation functions of Gaussian granular density dis-tribution and spherical granular density distribution are investigated in detail. Thevariation of the two-particle correlation functions with the relative momentum of twoparticles for different granular density distribution are analyzed. Also the characteris-tic of two-particle correlation functions of granular source is investigated.To further study the granular structures, a function called density folding functionis defined. The Fourier transform of two-particle correlation functions is execution.It is found out that the two-particle correlation functions of a granular source and theFourier transform of the two-particle correlations exhibits large ?uctuations, whichcan provide signatures of granular structure in relativistic heavy ion collisions.