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.
Highlights
Anisotropic flow as a typical collective behavior of particles emitted was proved to be a good observable to study the equation of state of the hot and dense matter created in the early stage of ultrarelativistic heavy-ion collisions [1,2,3,4,5,6,7]
We studied the α-clustering effects on the initial eccentricity and final flow fluctuations in α-clustered 12C + 197Au collisions at center-of-mass energy of 200 GeV using a multiphase transport model
Event-by-event fluctuations of the initial eccentricity εn and final anisotropic flow vn are characterized by scaled standard variance, skewness, and kurtosis
Summary
Anisotropic flow as a typical collective behavior of particles emitted was proved to be a good observable to study the equation of state of the hot and dense matter created in the early stage of ultrarelativistic heavy-ion collisions [1,2,3,4,5,6,7]. Extensive theoretical studies have been performed on harmonic flow as a probe for the α-clustering structure of light nuclei in nuclear collisions involving 12C or 16O as the projectile and it is found that the intrinsic nuclear structure, predetermined by the arrangement of the α clusters, leads to quantitative difference of the flow measurements [46,47,48,49,50]. Studying the effects of initial α clustering on flow fluctuation offers valuable information about the sensitivity of experimental measurement of flow fluctuation in probing the signatures of α-clustering configurations in light nuclei. We present systematic simulation study of the fluctuation and correlation properties of initial eccentricity and final flow harmonics for 12C + 197Au collision at 200 GeV with a multiphase transport model.
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