Interferometry For The Hydrodynamical Evolving Source With Finite Baryon Density

Using relativistic hydrodynamical model to describe the evolution of the systemsafter nucleus collision,has a long tradition in the high energy heavy ion collisions.Thehydrodynamical equation got according with physical law is an important tool to solvethe evolution of the physical quantity of high energy density source.Beacause oncegiven the initial conditions,the equation of state under such onditions is alsoconfirmed,the hydrodynamical equation determine the later evolution of the system.We use the relativistic hydrodynamical model to study the evolution of thepion-emitting source with finite baryon density.We also use intensity interferometry toanalyse the source’s size,evolution time and so on. The pion-emitting sources weanalyse are both in cylindric shape and in first order phase transition energyregion.One source is initially located at QGP phase, the other is initially located at theboundary between QGP phase and mixed phase.Further morer,to analyse the source notundergoing first order phase transition,we also study the initial source of the lanzhouCSR system.In the second chapter,we detailedly deduce the hydrodynamical evolutionequation of cylindric initial source. When using the hydrodynamical model to analysethe evolution of the source under the help of Sod’s operator splitting and RHLLEmethod,we calculate the evolution of the source’s physical quantities such as energydensity, temperature, baryon density, expansion velocity and so on.We simply comparethe hydrodynamical results of the three different sources.In the third chapter,we simplyillustrate how to choose the pions satisfying Bose distribution and compare the pions’freeze-out temporal and spatial distribution of the three sources.In the last section,weuse the Makhlin-Sinyukov formula to calculate the lifetime of three pion-emittingsources.