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arXiv 2011.13291hep-ph
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用QCD求和规则分析可能的$D\bar{D}_{s0}^*(2317)$和$D^*\bar{D}_{s1}^*(2460)$分子

Analysis of the possible $D\bar{D}_{s0}^*(2317)$ and $D^*\bar{D}_{s1}^*(2460)$ molecules with QCD sum rules

Zun-Yan Di, Zhi-Gang Wang, Guo-Liang Yu

摘要:

本文假设存在赝标$D\bar{D}_{s0}^*(2317)$和$D^*\bar{D}_{s1}^*(2460)$分子态$Z_{1,2}$,构造色单重-单重分子型内插流,用QCD求和规则研究它们的质量。在计算中,我们考虑了10维以下真空凝聚的贡献,并利用$μ=\sqrt{M_{X/Y/Z}^{2}-\left(2{\mathbb{M}}_{c}\right)^{2}}$公式确定了QCD谱密度的能量标度。计算结果表明,$M_{Z_1}=4.61_{-0.08}^{+0.11}\,\text{GeV}$和$M_{Z_2}=4.60_{-0.06}^{+0.07}\,\text{GeV}$分别位于$D\bar{D}_{s0}^*(2317)$和$D^*\bar{D}_{s1}^*(2460)$的阈值之上,说明$D\bar{D}_{s0}^*(2317)$和$D^*\bar{D}_{s1}^*(2460)$很难形成束缚态分子态,$Z_{1,2}$很可能是共振态.

英文摘要:

In this article, we assume that there exist the pseudoscalar $D\bar{D}_{s0}^*(2317)$ and $D^*\bar{D}_{s1}^*(2460)$ molecular states $Z_{1,2}$ and construct the color singlet-singlet molecule-type interpolating currents to study their masses with the QCD sum rules. In calculations, we consider the contributions of the vacuum condensates up to dimension-10 and use the formula $μ=\sqrt{M_{X/Y/Z}^{2}-\left(2{\mathbb{M}}_{c}\right)^{2}}$ to determine the energy scales of the QCD spectral densities. The numerical results, $M_{Z_1}=4.61_{-0.08}^{+0.11}\,\text{GeV}$ and $M_{Z_2}=4.60_{-0.06}^{+0.07}\,\text{GeV}$, which lie above the $D\bar{D}_{s0}^*(2317)$ and $D^*\bar{D}_{s1}^*(2460)$ thresholds respectively, indicate that the $D\bar{D}_{s0}^*(2317)$ and $D^*\bar{D}_{s1}^*(2460)$ are difficult to form bound state molecular states, the $Z_{1,2}$ are probably resonance states.

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。

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