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Strongly intensive quantities for rapidity correlations of multiplicities

Evgeny Andronov

Abstract

Studies of the phase diagram of strongly interacting matter created in nuclear collisions are typically carried out using event-by-event fluctuations. Well-known way to disentangle statistical and dynamical fluctuations is to construct special observables named strongly intensive which are free from trivial volume fluctuations. Within the color string model behavior of the second-order strongly intensive quantity $Σ$ is completely determined by the two-particle correlation function from a single string and the string fusion mechanism. In this paper, we analyze third-order strongly intensive observable for forward-backward rapidity correlations and test its behavior within the PYTHIA8 model.

Strongly intensive quantities for rapidity correlations of multiplicities

Abstract

Studies of the phase diagram of strongly interacting matter created in nuclear collisions are typically carried out using event-by-event fluctuations. Well-known way to disentangle statistical and dynamical fluctuations is to construct special observables named strongly intensive which are free from trivial volume fluctuations. Within the color string model behavior of the second-order strongly intensive quantity is completely determined by the two-particle correlation function from a single string and the string fusion mechanism. In this paper, we analyze third-order strongly intensive observable for forward-backward rapidity correlations and test its behavior within the PYTHIA8 model.

Paper Structure

This paper contains 4 sections, 8 equations, 2 figures.

Figures (2)

  • Figure 1: PYTHIA8.3/Angantyr predictions for the correlation coefficient, $b_\mathrm{{corr}}[N_{F},N_{B}]$, (left) and $\Sigma[N_{F},N_{B}]$, (right) calculated for particles with $0.3 < p_T < 3.0$ GeV/c in windows of $\delta y=0.2$ width produced in p+p, min. bias O+O and min. bias Xe+Xe collisions at $\sqrt{s_{NN}} = 900$ GeV as a function of distance between centers of intervals, $\Delta y$.
  • Figure 2: PYTHIA8.3/Angantyr predictions for $\Gamma[N_{F},N_{B}]$ calculated for particles with $0.3 < p_T < 3.0$ GeV/c as a function of distance between centers of intervals, $\Delta y$. Left: results for p+p and min. bias O+O collisions at $\sqrt{s_{NN}} = 900$ GeV for $\delta y_{B}=0.05$ and $\delta y_{B}=0.1$. Right: results for p+p collisions at $\sqrt{s_{NN}} = 900$ GeV for $\delta y_{B}=0.05$ and various $\delta y_{B}$.