Collective flows of $\alpha$-clustering $^{12}\mathrm{C}$ + $^{197}\mathrm{Au}$ by using different flow analysis methods

TL;DR

This paper investigates how different flow analysis methods affect the measurement of collective flows in $^{12}$C + $^{197}$Au collisions, aiming to identify $ ext{alpha}$-clustering structures through flow ratios.

Contribution

It compares various flow analysis techniques to assess their impact on the $v_3/v_2$ ratio as a probe for $ ext{alpha}$-clustering in $^{12}$C collisions.

Findings

Different methods yield consistent $v_3/v_2$ ratios for clustering detection.

Flow ratios can distinguish between different $ ext{alpha}$-clustering configurations.

Method choice influences the sensitivity of flow measurements to clustering patterns.

Abstract

Recently the ratio of triangular flow to the elliptic flow ($v_3/v_2$) of hadrons was proposed as a probe to detect the pattern of $\alpha$-clustering $^{12}\mathrm{C}$ in $^{12}\mathrm{C}$+$^{197}\mathrm{Au}$ collisions at relativistic energy by a participant plane method (Phys. Rev. C 95, 064904 (2017)). In experimental event plane method, Q-cumulant method and two-particle correlation method with rapidity gap always were used for measurement of collective flow only by means of momentum space. By comparing collective flow through the different methods, the ratio of $v_3/v_2$ could be taken as an experimental probe to distinguish different $\alpha$-clustering structure of $^{12}\mathrm{C}$.