Abstract (data abstract)
The inclusive J/$\psi$ elliptic ($v_2$) and triangular ($v_3$) flow coefficients are measured at forward rapidity (2.5 $<y<$ 4) and the $v_2$ at midrapidity ($|y|<$ 0.9) in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV using the ALICE detector at the LHC. The entire Pb$-$Pb data sample collected during Run 2 is employed, amounting to integrated luminosities of about 750 $\mu$b$^{-1}$ at forward rapidity and 93 $\mu$b$^{-1}$ at midrapidity. The results are obtained with the scalar product method and are reported as a function of transverse momentum $p_T$ and collision centrality. At forward rapidity, an ordering is observed for the $v_2$ and $v_3$ coefficients up to 5 GeV/$c$ when comparing pions, D mesons, and inclusive J/$\psi$. The midrapidity J/$\psi$ $v_2$ are in agreement with the forward rapidity results. At $p_T$ $>$ 5 GeV/$c$, the J/$\psi$ $v_2$ exhibits the same behavior as D mesons and pions. The J/$\psi$ $v_3$ in the 0$-$50% centrality interval is found to be positive for $2<p_T<5$ GeV/$c$ with a significance of 5.1$\sigma$ while the $v_3/v_2$ ratio is lower than the one observed for D mesons and light flavored particles. The ratio of $\pi^{\pm}$ $v_2$ over the $p_T$-integrated J/$\psi$ $v_2$ for $p_T$ $<$ 5 GeV/$c$ reveals an increasing trend from central to peripheral collisions. Using a simplistic extension of the quark scaling approach involving both light and charm quark flow components, it is shown that the D-meson $v_n$ measurements can be described based on those for charged pions and J/$\psi$ flow.

  • dataFig2A

    Data from additional Figure 2

    Inclusive J/$\psi$ $v_2$ as a function of $p_{T}$ in the centrality interval 0$-$10.0 %

  • dataFig2B

    Data from additional Figure 2

    Inclusive J/$\psi$ $v_2$ as a function of $p_{T}$ in the centrality interval 10$-$30 %

  • dataFig2C

    Data from additional Figure 2

    Inclusive J/$\psi$ $v_2$ as a function of $p_{T}$ in the centrality interval 30$-$50 %

  • dataFig2D

    Data from additional Figure 2

    Inclusive J/$\psi$ $v_2$ as a function of $p_{T}$ in the centrality interval 0$-$50 %

  • dataFig2E

    Data from additional Figure 2

    Inclusive J/$\psi$ $v_2$ as a function of $p_{T}$ in the centrality interval 0$-$10 %

  • dataFig2F

    Data from additional Figure 2

    Inclusive J/$\psi$ $v_2$ as a function of $p_{T}$ in the centrality interval 30$-$50 %

  • dataFig3A

    Data from additional Figure 3

    Inclusive J/$\psi$ $v_3$ as a function of $p_{T}$ in the centrality interval 0$-$10 %

  • dataFig3B

    Data from additional Figure 3

    Inclusive J/$\psi$ $v_3$ as a function of $p_{T}$ in the centrality interval 10$-$30 %

  • dataFig3C

    Data from additional Figure 3

    Inclusive J/$\psi$ $v_3$ as a function of $p_{T}$ in the centrality interval 30$-$50 %

  • dataFig3D

    Data from additional Figure 3

    Inclusive J/$\psi$ $v_3$ as a function of $p_{T}$ in the centrality interval 0$-$50 %

  • dataFig4A

    Data from additional Figure 4

    Inclusive J/$\psi$ $v_3/v_2$ as a function of $p_{T}$ in the centrality interval 0$-$50 %

  • dataFig4B

    Data from additional Figure 4

    Inclusive J/$\psi$ $v_3/v_2^{3/2}$ as a function of $p_{T}$ in the centrality interval 0$-$50 %

  • dataFig5

    Data from additional Figure 5

    Inclusive J/$\psi$ $v_2$ as a function of $p_{T}$ in the centrality interval 20$-$40 %

  • dataFig6A

    Data from additional Figure 6

    Inclusive J/$\psi$ $v_2$ as a function of centrality in the $p_{T}$ range 0$-$5 GeV/$c$

  • dataFig6B

    Data from additional Figure 6

    Inclusive J/$\psi$ $v_2$ as a function of centrality in the $p_{T}$ range 5$-$20.0 GeV/$c$

  • dataFig6C

    Data from additional Figure 6

    Inclusive J/$\psi$ $v_2^{\pi}/v_2^{J/\psi}$ as a function of centrality in the $p_{T}$ range 0$-$5 GeV/$c$

  • dataFig6D

    Data from additional Figure 6

    Inclusive J/$\psi$ $v_2^{\pi}/v_2^{J/\psi}$ as a function of centrality in the $p_{T}$ range 5$-$20.0 GeV/$c$

  • dataFig6E

    Data from additional Figure 6

    Inclusive J/$\psi$ $v_3$ as a function of centrality in the $p_{T}$ range 0$-$5 GeV/$c$

  • dataFig6F

    Data from additional Figure 6

    Inclusive J/$\psi$ $v_3$ as a function of centrality in the $p_{T}$ range 5$-$20.0 GeV/$c$

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