Abstract

A new subevent cumulant method was recently developed, which can significantly reduce the non-flow contributions in long-range correlations for small systems compared to the standard cumulant method. In this work, we study multi-particle cumulants in $p$+Pb collisions at $\sqrt{s_{\mathrm{NN}}} = 5.02$ TeV with a multiphase transport model (AMPT), including two- and four-particle cumulants ($c_{2}\{2\}$ and $c_{2}\{4\}$) and symmetric cumulants [SC(2, 3) and SC(2, 4)]. Our numerical results show that $v_{2}\{2\}$ is consistent with the experimental data, while the magnitude of $c_{2}\{4\}$ is smaller than the experimental data, which may indicate either the collectivity is underestimated or some dynamical fluctuations are absent in the AMPT model. For the symmetric cumulants, we find that the results from the standard cumulant method are consistent with the experimental data, but those from the subevent cumulant method show different behaviors. The results indicate that the measurements from the standard cumulant method are contaminated by non-flow effects, especially when the number of produced particles is small. The subevent cumulant method is a better tool to explore the $real$ collectivity in small systems.

Highlights

  • One experimental signature suggesting the formation of nearly perfect fluid in ultrarelativistic nucleus-nucleus (A+A) collisions is the azimuthal anisotropy of produced particles

  • We find that c2{4} using the standard cumulant method is negative at Nch > 70 but changes to positive at Nch < 70, a region expected to be more affected by nonflow contributions

  • Since c2{4} is sensitive to the averaged collectivity v2 and the shape of the v2 probability distribution p(v2) [53,54,55], the lack of c2{4} may indicate that either the collectivity is underestimated or some non-Gaussian dynamical fluctuations of v2 are missing in the a multiphase transport (AMPT) model [56]

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Summary

INTRODUCTION

One experimental signature suggesting the formation of nearly perfect fluid in ultrarelativistic nucleus-nucleus (A+A) collisions is the azimuthal anisotropy of produced particles. Two classes of theoretical scenarios have been proposed to explain the collectivity in small sytems: hydrodynamical (or transport) models, which respond to the initial geometry through final-state interactions [26,27,28,29,30,31,32,33,34,35,36]; and the color glass condensate framework, which reflects the initial momentum correlation from gluon saturation effects [37,38,39,40,41,42,43,44] Both scenarios can describe the current experimental results. We find that the subevent cumulant method is a better probe to investigate the real collectivity in small systems

THE AMPT MODEL
MULTIPARTICLE CUMULANTS
RESULTS AND DISCUSSION
CONCLUSIONS
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