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arXiv 1706.06003hep-ph
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大- $N_c$ QCD中的窄奇异四夸克介子

Narrow exotic tetraquark mesons in large-$N_c$ QCD

Wolfgang Lucha, Dmitri Melikhov, Hagop Sazdjian

摘要:

本文讨论了大$N_c$ QCD中双线性夸克流的四点格林函数,给出了选择适合于分析势四夸克极的图的严格准则。我们发现,无论是风味异国情调和cryptoexotic(即,非奇异的)四夸克,如果存在这样的极点,则具有$O(1/N_c^2)$级的宽度,因此它们与具有$O(1/N_c)$级宽度的普通$\bar qq$介子相比在参数上更窄。此外,对于味奇异态,“直接”和“复合”格林函数的大$N_c$行为的一致性需要两个窄味奇异态,每个态主要耦合到一个特定的介子-介子通道。

英文摘要:

Discussing four-point Green functions of bilinear quark currents in large-$N_c$ QCD, we formulate rigorous criteria for selecting diagrams appropriate for the analysis of potential tetraquark poles. We find that both flavor-exotic and cryptoexotic (i.e., flavor-nonexotic) tetraquarks, if such poles exist, have a width of order $O(1/N_c^2)$, so they are parametrically narrower compared to the ordinary $\bar qq$ mesons, which have a width of order $O(1/N_c)$. Moreover, for flavor-exotic states, the consistency of the large-$N_c$ behavior of "direct" and "recombination" Green functions requires two narrow flavor-exotic states, each coupling dominantly to one specific meson-meson channel.

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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