Particle Production And Elliptic Flow Analysis Using RQMD Model At AGS Energy

High Energy Heavy Ion Collision Physics provide the unique opportunity to create and to investigate the properties of hot and dense nuclear matter under extreme conditions at very high temperature and energy densities, and may uncover new phase of matter created name Quark Gluon Plasma (QGP) under such conditions. The Quantum Relativistic Molecular Dynamics (RQMD) model is used to probe the hot and dense nuclear matter produced in heavy ion collisions such as those at the Brookhaven Alternating-Gradient Synchrotron (AGS). RQMD is a microscopic transport model that combines the classical propagation of all hadrons including the produced particles (molecular dynamics) with quantum effects like stochastic scattering, particle decay, and Pauli blocking in the collisions of nucleons from target and projectile.Collective flow of nuclear matter in heavy ion collisions is a motion characterized by space-momentum correlations of dynamic origin. Elliptic flow develops because of almond shape of the overlapping region in a heavy ion collision and expected to be larger in more peripheral collisions because of the anisotropy in coordinate space which is the source of this flow. The elliptic flow characteristics extracted from the azimuthal distribution are described by a simple formula.The yield and the phase-space distributions of particle produced in heavy-ion collisions are sensitive to the reaction dynamics and to the conditions inside the dense and hot fireball. Emphasis is placed on progress in characterizing the conditions of nuclear matter by employing particle Production observables. We present proton and pion tranverse momentum spectra and rapidity distributions for Au+Au collisions at 2AGeV. The proton spectra exhibit collective transverse flow effects. Evidence of the influence of the Coulomb interaction is found in the pion transverse momentum spectra.In this thesis, the rapidity and transverse momentum dependence of elliptic flow for protons and pions in the final-state particle from Au + Au collisions is studied at incident energy of 2AGeV within the framework of the RQMD model. The results demonstrate that, the shadowing effects of the spectator regions on the elliptic flow of protons and pions are obvious in Au+Au collisions. Elliptic flow is affected by the mean field and the shadowing effects of the spectator regions at AGS energies.The azimuthal distributions of particles produced in nucleus-nucleus collisions are measured with respect to an estimated event plane which, because of finite multiplicity fluctuations, differs in general from the true event plane. The result shows that the measured distributions do not coincide with the true one. The Fourier coefficient is one of the best observables to characterize azimuthal anisotropies.