Transverse spherocity (S0) is an event shape observable found to be relatively robust while separating the soft-QCD dominated isotropic events from the pQCD dominated jetty events. The application of transverse spherocity is not limited to the small systems only; recently, a few studies suggest that it can successfully be applied in heavy-ion collisions as well. In this work, we apply transverse spherocity to reveal the correlations between the initial spatial anisotropy and final state momentum azimuthal anisotropy in Pb-Pb collisions at $sqrt{s_{NN}}$ = 5.02 TeV using a multi-phase transport model (AMPT). It is found that eccentricity affects the event shape, as seen from the S0 values, while triangularity does not show any correlations with S0. On the other hand, both elliptic flow (v2) and triangular flow (v3) are found to be varying with different transverse spherocity selection cuts. We also report a transverse spherocity-dependent crossing point in transverse momentum (pT) between v2 and v3. The correlations of transverse spherocity with more widely used event shape observables, such as the reduced flow vectors, have also been reported. The sensitivity of transverse spherocity on some of the global observables in heavy-ion collisions, such as the Bjorken energy density, squared speed of sound, and the kinetic freeze-out parameters, have also been studied.
References:
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