Anisotropy fluctuation and correlation in central $\alpha$-clustered $^{12}$C+$^{197}$Au collisions

TL;DR

This study uses a multi-phase transport model to analyze how initial geometric anisotropies and their fluctuations in $^{12}$C+$^{197}$Au collisions reveal the presence of $ ext{alpha}$-clustering structures in $^{12}$C, with implications for understanding nuclear configurations.

Contribution

It introduces a comparative analysis of anisotropy fluctuations in different $^{12}$C configurations, highlighting the sensitivity of flow fluctuations to $ ext{alpha}$-clustering structures.

Findings

Triangular flow fluctuation is sensitive to $ ext{alpha}$-clustering.

Strong multiplicity dependence in initial eccentricity and flow correlation.

Differences observed between $ ext{alpha}$-clustered and Woods-Saxon configurations.

Abstract

In the framework of a multi-phase transport model, fluctuation and correlation of the azimuthal anisotropies in $^{12}$C+$^{197}$Au collisions at $\sqrt{S_{NN}}$ = 200 GeV are explored. Properties of the initial eccentricity and final harmonic flow fluctuation resulted from $^{12}$C+$^{197}$Au collisions with Woods-Saxon configuration and triangular $\alpha$-clustering configurations of $^{12}$C are investigated via scaled variance, skewness and kurtosis. Comparisons are made between results from $\alpha$-clustered configurations and Woods-Saxon configuration. The triangular flow fluctuation is found to have particular sensitivity in distinguishing triangular $\alpha$-clustering structure of $^{12}$C. Furthermore, correlations between initial eccentricities and final flow harmonics are studied with strong multiplicity dependence observed for the correlation functions.