标题： 重夸克势在夸克胶子等离子体中的研究：深度神经网络与格点量子色动力学的结合 显示英文标题

标题： Heavy quark potential in quark-gluon Plasma: Deep neural network meets lattice quantum chromodynamics

摘要： 底夸克介子态是研究高能核碰撞中产生的夸克-胶子等离子体（QGP）的重要探针。 高能核碰撞中底夸克介子产生的理论模型依赖于底夸克和反底夸克在介质中的相互作用。 后者可以通过温度（$T$）相关的势能来表征，该势能作为空间分离（$r$）的函数，包含实部（$V_R(T,r)$）和虚部（$V_I(T,r)$）。 最近，使用格点量子色动力学（LQCD）计算了QGP中最多到$3S$和$2P$的底夸克介子态的质量和热宽。 从这些LQCD结果出发，并通过深度神经网络的新应用，这里我们以与模型无关的方式得到了$V_R(T,r)$和$V_I(T,r)$。 在$T\approx0-334$~MeV 之间，$V_R(T,r)$的温度依赖性被发现非常微弱。 对于$T=151-334$~MeV，$V_I(T,r)$随着$T$和$r$的增加而迅速增加，这比基于微扰理论的预期要大得多。 显示英文摘要

摘要： Bottomonium states are key probes for experimental studies of the quark-gluon plasma (QGP) created in high-energy nuclear collisions. Theoretical models of bottomonium productions in high-energy nuclear collisions rely on the in-medium interactions between the bottom and antibottom quarks. The latter can be characterized by the temperature ($T$) dependent potential, with real ($V_R(T,r)$) and imaginary ($V_I(T,r)$) parts, as a function of the spatial separation ($r$). Recently, the masses and thermal widths of up to $3S$ and $2P$ bottomonium states in QGP were calculated using lattice quantum chromodynamics (LQCD). Starting from these LQCD results and through a novel application of deep neural network, here, we obtain $V_R(T,r)$ and $V_I(T,r)$ in a model-independent fashion. The temperature dependence of $V_R(T,r)$ was found to be very mild between $T\approx0-334$~MeV. For $T=151-334$~MeV, $V_I(T,r)$ shows a rapid increase with $T$ and $r$, which is much larger than the perturbation-theory-based expectations.