arXiv 2004.031672020-04hep-phhep-ex

$D^*_s\bar D_{s1} $在Bethe-Salpeter框架下可能的分子状态研究

Study on the possible molecular state composed of $D^*_s\bar D_{s1} $ within the Bethe-Salpeter framework

Hong-Wei Ke, Xiao-Hai Liu, Xue-Qian Li

备注：: 22 pages, 4 figures. Accepted by Chin. Phys. C

摘要：

最近，在$D^+_sD_{s1}(2536)^-$的门静脉中观察到载体charmonium样状态$Y(4626)$。这对于更好地理解具有适当内部成分的强子结构具有明显的意义，因此，对共振态的结构进行了积极的讨论。它确实涉及到奇异态可能结构的一般理论框架。由于$Y(4626)$的质量略高于$D^+_s\bar D_{s1}(2536)^-$的产生阈值，而低于与$D^+_s\bar D_{s1}(2536)^-$具有相同夸克含量的$D^*_s\bar D_{s1}(2536)$的质量，因此很自然地推测$Y(4626)$是$D^{*}_s\bar D_{s1}(2536)$的分子态，正如文献中所建议的那样。承认或否认这一指控将使我们所关注的目标更清楚。本文在Bethe-Salpeter方程的框架下计算了由矢量介子和轴矢量组成的系统$D^*_s\bar D_{s1}(2536)$的质量谱。我们的数值计算结果表明，形状因子中的无量纲参数$λ$，这是唯象地引入到每个顶点，是远远超出了合理的范围，甚至诱导一个非常小的结合能$ΔE$。这意味着在这个模型中，$D^*_s\bar D_{s1}(2536)$系统不可能作为强子分子存在于自然界中，所以我们可能认为共振态$Y(4626)$不是$D^*_s\bar D_{s1}(2536)$的束缚态，而是其他的东西，例如四夸克态等等.

英文摘要：

Recently a vector charmonium-like state $Y(4626)$ was observed in the portal of $D^+_sD_{s1}(2536)^-$. It intrigues an active discussion on the structure of the resonance because it has obvious significance for gaining a better understanding on its hadronic structure with suitable inner constituents. It indeed concerns the general theoretical framework about possible structures of exotic states. Since the mass of $Y(4626)$ is slightly above the production threshold of $D^+_s\bar D_{s1}(2536)^-$ whereas below that of $D^*_s\bar D_{s1}(2536)$ with the same quark contents as that of $D^+_s\bar D_{s1}(2536)^-$, it is natural to conjecture $Y(4626)$ to be a molecular state of $D^{*}_s\bar D_{s1}(2536)$, as suggested in literature. Confirming or negating this allegation would shed light on the goal we concern. We calculate the mass spectrum of a system composed of a vector meson and an axial vector i.e. $D^*_s\bar D_{s1}(2536)$ within the framework of the Bethe-Salpeter equations. Our numerical results show that the dimensionless parameter $λ$ in the form factor which is phenomenologically introduced to every vertex, is far beyond the reasonable range for inducing an even very small binding energy $ΔE$. It implies that the $D^*_s\bar D_{s1}(2536)$ system cannot exist in the nature as a hadronic molecule in this model, so that we may not think the resonance $Y(4626)$ to be a bound state of $D^*_s\bar D_{s1}(2536)$, but something else, for example a tetraquark and etc.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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