Event-shaped-dependent cumulants in p-Pb collisions at 5.02 TeV

De-Xian Wei; Li-juan Zhou

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Event-shaped-dependent cumulants in p-Pb collisions at 5.02 TeV

De-Xian Wei, Li-Juan Zhou

Nuclear Theory · Submitted 3 Oct 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our results show that the ESC method can suppress the event-by-event fluctuations.

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In this paper, we present a novel event-shaped cumulants (ESC) response approach, based on a multi-phase transport (AMPT) model simulations, to analyze p-Pb collisions at $\sqrt{s_{NN}}$= 5.02 TeV. We find that the Pearson coefficients between the subset cumulants of the final harmonics $v_{2}\{2k\}~(k=1,2,3,4)$ and the subset cumulants of initial eccentricity $\varepsilon_{2}\{2k\}$ in the ESC basis are significantly enhanced. These Pearson coefficients are strongly-dependent on the charged multiplicity, the set number of events (SNE), and only weakly-dependent on the order of the multi-particle cumulants (two-particles, four-particles, and so on). Our results show that the ESC method can suppress the event-by-event fluctuations.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this paper, we present a novel event-shaped cumulants (ESC) response approach, based on a multi-phase transport (AMPT) model simulations, to analyze p-Pb collisions at $\sqrt{s_{NN}}$= 5.02 TeV.	contribution 0.93	0.90	0.06	asserted 0.97
s1	We find that the Pearson coefficients between the subset cumulants of the final harmonics $v_{2}\{2k\}~(k=1,2,3,4)$ and the subset cumulants of initial eccentricity $\varepsilon_{2}\{2k\}$ in the ESC basis are significantly enhanced.	result 1.00	0.96	0.42	asserted 1.00
s2	These Pearson coefficients are strongly-dependent on the charged multiplicity, the set number of events (SNE), and only weakly-dependent on the order of the multi-particle cumulants (two-particles, four-particles, and so on).	result 1.00	0.91	0.11	asserted 1.00
s3	Our results show that the ESC method can suppress the event-by-event fluctuations.	result 0.84	0.93	0.45	asserted 1.00

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Original abstract

In this paper, we present a novel event-shaped cumulants (ESC) response approach, based on a multi-phase transport (AMPT) model simulations, to analyze p-Pb collisions at $\sqrt{s_{NN}}$= 5.02 TeV. We find that the Pearson coefficients between the subset cumulants of the final harmonics $v_{2}\{2k\}~(k=1,2,3,4)$ and the subset cumulants of initial eccentricity $\varepsilon_{2}\{2k\}$ in the ESC basis are significantly enhanced. These Pearson coefficients are strongly-dependent on the charged multiplicity, the set number of events (SNE), and only weakly-dependent on the order of the multi-particle cumulants (two-particles, four-particles, and so on). Our results show that the ESC method can suppress the event-by-event fluctuations.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it

Uses its data or values 1 paper

The magnitude of the Pearson coefficients is obtained by Ref. [ref] .

Parton evolution time dependent transverse shape asymmetry in peripheral Pb-Pb and p-Pb collisions at 5.02 TeV · Results · 0.93

What it cites · 41 sentences without a confident label

Contests 1 paper

Such newly developed subevent methods [ref] is failed to suppress the residual nonflow contributions in small collisions.

Revealing long-range multi-particle collectivity in small collision systems via subevent cumulants · Materials and Methods · contest 0.80

Builds on 1 paper

This work follows our previous work, where we have discussed the response relations in p-Pb systems with event-by-event simulations [ref] .

Response relation in Pb-Pb and p-Pb collisions at 5.02 TeV · Introduction · 0.91

Uses the method or tool of 8 papers

Using the calculated multi-particle azimuthal correlations, the second-order cumulants $c_2{2k} (k=1,2,3,4)$ [ref] are obtained after subtracting the correlations between $2k (k ≥1)$ particles and averaged in an SOE, i.e., [equation] where $i$ is the $i$th SOE cumulant.

Measurement of multi-particle azimuthal correlations in $pp$, $p$+Pb and low-multiplicity Pb+Pb collisions with the ATLAS detector · Materials and Methods · 0.99
Using the calculated multi-particle azimuthal correlations, the second-order cumulants $c_2{2k} (k=1,2,3,4)$ [ref] are obtained after subtracting the correlations between $2k (k ≥1)$ particles and averaged in an SOE, i.e., [equation] where $i$ is the $i$th SOE cumulant.

Flow analysis with cumulants: direct calculations · Materials and Methods · 0.99
To study the event-by-event fluctuations, we start from the estimators of the harmonic flow $V_n$ and the initial eccentricity $E_n$, which have been studied in Ref. [ref] ,

Collision geometry fluctuations and triangular flow in heavy-ion collisions · Materials and Methods · 0.91

Compares with 1 paper

These results within smaller multiplicity are similar in Ref. [ref] , due to the residual nonflow effects and/or fluctuations.

Revealing long-range multi-particle collectivity in small collision systems via subevent cumulants · Materials and Methods · 0.99

Cites as background 13 papers

In this work, we only study the degree of linear correlation of the samples, without entering the discussing about the possible nonlinear correlations, which are still under debate in small systems [ref] .

Response relation in Pb-Pb and p-Pb collisions at 5.02 TeV · Materials and Methods · 0.83
In this work, we only study the degree of linear correlation of the samples, without entering the discussing about the possible nonlinear correlations, which are still under debate in small systems [ref] .

Baseline predictions of elliptic flow and fluctuations at the RHIC Beam Energy Scan using response coefficients · Materials and Methods · 0.83
To study the fluctuations of the initial state, Glauber, various hydrodynamic and transport models have been suggested, as well as approximate response relations between the final harmonics flow $v_n$ and the initial eccentricity $ε_n$ of large systems [ref] .

Fluctuations of anisotropic flow from the finite number of rescatterings in a two-dimensional massless transport model · Introduction · 0.93

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