The elliptic and triangular flow coefficients $v_2$ and $v_3$ of prompt ${\mathrm{D}}^{\mathrm{0}}$, ${\mathrm{D}}^{+}$, and ${\mathrm{D}}^{⁎+}$ mesons were measured at midrapidity ($|y|<0.8$) in Pb–Pb collisions at the centre-of-mass energy per nucleon pair of $\sqrt{s_{\mathrm{NN}}}=5.02\text{TeV}$ with the ALICE detector at the LHC. The D mesons were reconstructed via their hadronic decays in the transverse momentum interval $1<p_{\mathrm{T}}<36\text{GeV}/c$ in central (0–10%) and semi-central (30–50%) collisions. Compared to pions, protons, and $\mathrm{J}/\psi$ mesons, the average D-meson $v_{\mathrm{n}}$ harmonics are compatible within uncertainties with a mass hierarchy for $p_{\mathrm{T}}\lesssim 3\text{GeV}/c$, and are similar to those of charged pions for higher $p_{\mathrm{T}}$. The coupling of the charm quark to the light quarks in the underlying medium is further investigated with the application of the event-shape engineering (ESE) technique to the D-meson $v_2$ and $p_{\mathrm{T}}$-differential yields. The D-meson $v_2$ is correlated with average bulk elliptic flow in both central and semi-central collisions. Within the current precision, the ratios of per-event D-meson yields in the ESE-selected and unbiased samples are found to be compatible with unity. All the measurements are found to be reasonably well described by theoretical calculations including the effects of charm-quark transport and the recombination of charm quarks with light quarks in a hydrodynamically expanding medium.

椭圆和三角形流动系数 $v_2$ 和 $v_3$ 提示 ${\mathrm{d}}^{\mathrm{0}}$， ${\mathrm{d}}^{+}$和 ${\mathrm{d}}^{⁎+}$ 介子在中速时测量（$|ÿ|<0.8$）在Pb–Pb碰撞中，每个核子对的质心能量 $\sqrt{s_{\mathrm{神经网络}}}=5.02\text{电视}$在大型强子对撞机上使用ALICE检测器。D介子是通过其在横向动量区间内的强子衰变而重建的$\mathrm{1个}<p_{\mathrm{Ť}}<36\text{GeV}/C$在中央（0-10％）和半中央（30-50％）碰撞中。与介子，质子和$\mathrm{Ĵ}/\psi$ 介子，平均D介子 $v_{\mathrm{ñ}}$ 谐波在不确定性内与质量等级兼容 $p_{\mathrm{Ť}}\lesssim 3\text{GeV}/C$，并且与带电介子的相近， $p_{\mathrm{Ť}}$。通过将事件形状工程（ESE）技术应用于D介子，进一步研究了魅力夸克与底层介质中的轻夸克的耦合$v_2$ 和 $p_{\mathrm{Ť}}$-差分产量。D介子$v_2$与中心碰撞和半中心碰撞中的平均体椭圆流量相关。在目前的精度范围内，发现ESE选择的样本和无偏样本中每个事件的D介子产率之比与单位兼容。发现所有测量值都可以通过理论计算合理地描述，其中包括魅力夸克的运输效应以及魅力夸克与轻夸克在水动力膨胀介质中的重组。