Systematic study of the elliptic flow parameter using a heavy-ion collision model

Abstract: Elliptic flow parameter, $v_{2}$ is consider as a sensitive probe for early dynamics of the heavy-ion collision. In this work we have discussed the effect of detector efficiency, procedure of centrality determination, effect of resonance decay, procedure to obtain event plane resolution on the measured $v_{2}$ by standard event plane method within the framework of a transport model. The measured value of $v_{2}$ depends on the detector efficiency in particle number counting. The effect of centrality determination is found to be negligible. The method of event-by-event correction of event plane resolution for wide centrality bin yields in results closer to the true value of $v_{2}$. The effect of resonance decay is seen to decrease the $v_{2}$ of $\pi$, $K$ and $p$. We also propose a procedure to correct for an event bias effect on $v_{2}$ while comparing the minimum bias centrality $v_{2}$ values for different multi-strange hadrons. Finally we have presented a model based confirmation of the recently proposed relation between $v_{2}$ obtained using event plane method and scalar product method to the true value of $v_{2}$.