The Bjorken initial energy density ($\epsilon_{ B}$) has been estimated in different centrality classes in Xe-Xe collisions using Bjorken formula. Three different cases have been considered. In Case I, we have fixed the formation time ($\tau_{ 0}$) and varied the area of overlap region ($A_{ overlap}$). In Case II, we have fixed both $\tau_{ 0}$ and $A_{ overlap}$ and we have varied both $\tau_{ 0}$ and $A_{ overlap}$ in Case III. We observed that the $\epsilon_{ B}$ is first increasing and then decreasing while going from central to peripheral collisions in Case I whereas it is decreasing in Case II and III, as expected. The $\epsilon_{ B}$ value for top central and mid central collisions in Case II and for all centrality classes in Case III are greater than 1 $GeV/(fm)^{ 3}$, indicating the possibility of QGP medium formation respectively. The $\epsilon_{ B}$ results of the Pb-Pb at $\sqrt{ s_{ NN}} = 2.76$ and 5.02 TeV are compared. In Case II, it is observed that in the centrality class (0-5)%, the $\epsilon_{ B}$ value in Xe-Xe collisions at $\sqrt{ s_{ NN}} = 5.44$ TeV is 34.66% less than in Pb-Pb collisions at $\sqrt{ s_{ NN}} = 2.76$ TeV and 57.12% less than at 5.02 TeV. This may be interpreted as, the system size in Xe-Xe collisions at $\sqrt{ s_{ NN}} = 5.44$ TeV is 34.66% smaller than in Pb-Pb collisions at $\sqrt{ s_{ NN}} = 2.76$ TeV and 57.12% smaller than at 5.02 TeV. Similarly in Case III in the centrality class (0-5)%, the $\epsilon_{ B}$ value in Xe-Xe collisions at $\sqrt{ s_{ NN}} = 5.44$ TeV is 3.22% more than in Pb-Pb collisions at $\sqrt{ s_{ NN}} = 2.76$ TeV and 32.18% less than at 5.02 TeV. This may be interpreted as, the system size in Xe-Xe collisions at $\sqrt{ s_{ NN}} = 5.44$ TeV is 3.22% bigger than in Pb-Pb collisions at $\sqrt{ s_{ NN}} = 2.76$ TeV and 32.18% smaller than at 5.02 TeV. The results obtained in the Case III seems more suitable than Case II.
Categories: hep-ph hep-ex