Abbasi, Navid and Allahbakhshi, Davood and Davody, Ali and Taghavi, Seyed Farid (2018) Standardized cumulants of flow harmonic fluctuations. PHYSICAL REVIEW C, 98 (2): 024906. ISSN 2469-9985, 2469-9993
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The distribution of flow harmonics in heavy-ion experiment can be characterized by standardized cumulants. We first model the ellipticity and power parameters of the elliptic-power distribution by employing MC-Glauber model. Then we use the elliptic-power distribution together with the hydrodynamic linear response approximation to study the two dimensional standardized cumulants of elliptic and triangular flow (v(2) and v(3)) distribution. For the second harmonic, it turns out that finding two-dimensional cumulants in terms of 2q-particle correlation functions c(2){2q} is limited to the skewness. We also show that c(3){2}, c(3){4}, and c(3){6}, are related to the second, fourth, and sixth standardized cumulants of the v(3) distribution, respectively. The cumulant c(n){2q} can be also written in terms of v(n) {2q}. Specifically, -(v(3){4}/v(3){2})(4) turns out to be the kurtosis of the v(3) event-by-event fluctuation distribution. We introduce a new parametrization for the distribution p(v(3)) with v(3){2}, kurtosis and sixth-order standardized cumulant being its free parameters. Compared to the Gaussian distribution, it indicates a more accurate fit with experimental results. Finally, we compare the kurtosis obtained from simulation with that of extracted from experimental data for the v(3) distribution.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PB COLLISIONS; LHC; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Mar 2020 15:01 |
| Last Modified: | 09 Mar 2020 15:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14056 |
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