Intensity Interferometry In Au+Au Non-Central Collisions At (～SNN)～(1/2)=200GeV

The major goal of high energy heavy ion collisions is to extract information about the properties of nuclear matter at high density and high temperature, then to obtain the nuclear equation of state. However, it is impossible to measure the properties of the nuclear matter directly under such conditions in experiment. For short lifetime and little space extend, the space-time information of the source created in the collisions must be deduced by final observable quantity. Two particle intensity interferometry is a technique which may obtain the space-time structure of the particle emitting source and other dynamical information from Bose-Einstein or Femi-Dirac correlation of the identical particles. Many properties of the anisotropic source created from non-central collisions in momentum space have been discussed. The properties of the anisotropy in coordinate space should be studied by interferometry. This thesis employs A Multi-Phase Transport model(AMPT) to simulate (^SNN)^1/2 = 200GeV Au+Au non-central collisions and it is discussed systematically for 2Ï€ interferometry to find relations among the space-momentum correlation phenomenon.The thesis applys 2Ï€ interferometry analysis method to calculate pions correlation function, obtains HBT radii by fitting correlation function. The transverse momentum dependence of the HBT radii is analyzed, and the ratio of the two HBT radii is discussed. The results show that if HBT radii are treated as the size of the partial source which has relevance to transverse momentum, the dependence relations can be explained reasonably. The source radii obtained from single particle spectrum is compared to the dependence of HBT radii on transverse momentum. The results show that HBT radii are the same with which from the single particle spectrum. At last, the relation between HBT radii and elliptic flow is discussed. The dependence of the elliptic flow on transverse momentum and the transverse momentum dependence of HBT radii in different azimuthal angle is analyzed.