Mass Displacement Effect Of The Two-particle Correlation Function

The major goal of high energy heavy ion collisions is to extract information of properties of nuclear matter at high temperature and high density. Intensity interferometry technique is not only a kind of mature mean that analyses the high energy heavy ion collisions physics, but also an important tool to study the space-time feature for particle-emitting source. In high energy collisions experiment, people study particles-emitting source by measuring the identical particles correlations. A novel type of correlation involving particle-antiparticle was found out in the 1990's. Currently known as squeezed or Back-to-Back Correlations (BBC), they should be present if the hadronic masses are modified in the hot and dense medium formed in high energy heavy ion collisions. Such correlation could be observed experimentally in the future.First, related important points in intensity interferometry are generalized and the research objectives and research contents are given in introduction of this thesis. Four parts are included in this paper. Firstly, we introduce the knowledge of high energy heavy ion collisions and two particles correlations functions for two kinds of form. Back-to-back correlations is involved in the third part. In the last part, we indicate there is a different mass between quasi-particles and particles. So, there have mass potential between them. We solve Klein-Gordon equation with mass potential by which we can conclude small momentum particles have a special way out of the particles-emitting source. In this paper, back-to-back and HBT correlations are studied for small momentum particles and are simulated by Monte Carlo method.