论文标题
部分可观测时空混沌系统的无模型预测
The fully-light vector tetraquark states with explicit P-wave via the QCD sum rules
论文作者
论文摘要
储层计算是预测湍流的有力工具，其简单的架构具有处理大型系统的计算效率。然而，其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间，然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用，该系统模拟了湍流的若干特征。我们表明，使用径向基函数作为非线性投影器，即使只有部分观测并且不知道控制方程，也能稳健地捕捉复杂的系统非线性。最后，我们表明，当测量稀疏、不完整且带有噪声，甚至控制方程变得不准确时，我们的网络仍然可以产生相当准确的预测，从而为实际湍流系统的无模型预测铺平了道路。
In this paper, we apply the QCD sum rules to study the vector fully-light tetraquark states with an explicit P-wave between the diquark and antidiquark pair. We observed that the $Cγ_α\otimes\stackrel{\leftrightarrow}{\partial}_μ\otimesγ^αC$ (or $Cγ_α\otimes\stackrel{\leftrightarrow}D_μ\otimesγ^αC$) type current with fully-strange quarks couples potentially to a tetraquark state with the mass $2.16 \pm 0.14 \,\rm{GeV}$, which supports assigning the $Y/ϕ(2175)$ as the diquark-antidiquark type tetraquark state with the $J^{PC}=1^{--}$. The $qs\bar{q}\bar{s}$ and $ss\bar{s}\bar{s}$ vector tetraquark states with the structure $Cγ_μ\otimes \stackrel{\leftrightarrow}{\partial}_α\otimesγ^αC + Cγ^α\otimes\stackrel{\leftrightarrow}{\partial}_α\otimesγ_μ$ (or $Cγ_μ\otimes \stackrel{\leftrightarrow}D_α\otimesγ^αC + Cγ^α\otimes\stackrel{\leftrightarrow}D_α\otimesγ_μ$) are consistent with the $X(2200)$ and $X(2400)$ respectively, which lie in the region $2.20$ to $2.40\,\rm{GeV}$. The central values of the masses of the fully-strange vector tetraquark states with an explicit P-wave are about $2.16-3.13\,\rm{GeV}$ (or $2.16-3.16\,\rm{GeV}$), and the predictions for other fully-light vector tetraquark states with and without hidden-strange are also presented.
