Abstract
In this paper, we present a novel event-shaped cumulants (ESC) response approach, based on a multi-phase transport (AMPT) model simulations, to analyze p-Pb collisions at [Formula: see text] TeV. We find that the Pearson coefficients between the subset cumulants of the final harmonics [Formula: see text] and the subset cumulants of initial eccentricity [Formula: see text] in the ESC basis are significantly enhanced. These Pearson coefficients are strongly-dependent on the charged multiplicity, the set number of events (SNE), and only weakly-dependent on the order of the multi-particle cumulants (two-particles, four-particles, and so on). Our results show that the ESC method can suppress the event-by-event fluctuations.
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