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

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