论文标题

$ z_ {cs}(3985)$在近代领先的手性有效场理论中 - 第一个截断不确定性分析

$Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis

论文作者

Zhai, Qing-Yu, Liu, Ming-Zhu, Lu, Jun-Xu, Geng, Li-Sheng

论文摘要

我们重新访问$ d_s^-d^{*0} $/$ d_s^{* - } d^0 $交互作用和$ z_ {cs}(3985)$在手性有效野外理论(EFT)中的状态,直到近代领先顺序。我们研究了前阶触点,单ex交换,近代领域的接触和两次转换贡献的相对重要性。我们表明,前阶和近代领导的联系人贡献扮演着最重要的角色,因此$ z_ {cs}(3985)$ state符合$ d_s^-d^{*0} $/$ d_s^{* - d_s^{* - * - * - * - } d^0 $ resonance。另一方面,对于动态生成$ z_ {cs}(3985)$状态的弱弱的单e-Eta-Extchange和弱能量依赖性的两次交换贡献的重要性不太重要,这表明在当前情况下手性EFT的预测性较低。此外,我们将贝叶斯方法应用于估计手性截断的不确定性,并发现它们的幅度与统计对应物相似。我们的研究表明,如果存在$ z_c(3900)$,则su(3) - 最佳对称性还可以预测$ z_ {cs}(3985)$具有一定稳健性,即,两者都可以在手性效果中带有主导的接触贡献。

We revisit the $D_s^-D^{*0}$/$D_s^{*-}D^0$ interaction and the $Z_{cs}(3985)$ state in chiral effective field theory(EFT) up to the next-to-leading order. We examine the relative importance of the leading-order contact, one-eta exchange, next-to-leading-order contact, and two-kaon-exchange contributions. We show that the leading-order and next-to-leading-order contact contributions play the most important role such that the $Z_{cs}(3985)$ state qualifies as a $D_s^-D^{*0}$/$D_s^{*-}D^0$ resonance. On the other hand, the weak one-eta-exchange and weakly energy-dependent two-kaon-exchange contributions are less important in dynamically generating the $Z_{cs}(3985)$ state, indicating that chiral EFT is less predictive in the present situation. Furthermore, we apply the Bayesian method to estimate chiral truncation uncertainties and find that they are of similar magnitude as their statistical counterparts. Our study shows that if $Z_c(3900)$ exists, then SU(3)-flavor symmetry also predicts $Z_{cs}(3985)$ with a certain robustness, i.e., both can be accommodated in the chiral EFT with dominant contact contributions.

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