A study of collision vertex and centrality of simulated Au-Au Ion collision data sets at 200GeV

Investigation of the properties of Quark-Gluon Plasma (QGP) is conducted mainly through heavy ion collisions at high energy levels. In this article, we studied simulated collision data via open data from CERN, constructed a geometric model of particle colliders with both Cartesian and spherical coordinates representing the collider, devised a transformation formula between the two coordinate systems, and determined the vertex of separate events through the Hough transform. After the determination of the vertex, we also classified events according to the centrality constant v_0 which described the mode of collision. It is worth noting that the significant noise in the data cannot be sufficiently cancelled using our processing algorithms, thus impacting the overall accuracy of results. Though the accuracy of the vertex location does not meet expectations, future optimizations in coding would improve the calculation process. With the quantitative model accurately constructed, coupled with sufficiently clear data, the results of this study would be more evident.