相对论Friedrichs-Lee模型和夸克对产生模型
Relativistic Friedrichs-Lee model and quark-pair creation model
摘要：
在本文中，我们介绍了如何将弗里德里希-李模型扩展到相对论的情况下，并结合相对论夸克对创造模型在一个一致的方式。该方案可用于研究介子谱的“非猝灭”效应。例如，如果势模型中最低的$J^{PC}=0^{++}$ $(u\bar u+d\bar d)/\sqrt{2}$束缚态耦合到$ππ$连续谱，则可以从连续谱态的散射振幅中找到两个共振极点。其中一个可能对应于$f_0(500)/σ$，另一个可能对应于$f_0(1370)$。这个方案可能会更清楚地解释为什么额外的状态可以出现在强子谱中，而不是夸克势模型的预测。
英文摘要：
In this paper, we present how the Friedrichs-Lee model could be extended to the relativistic scenario and be combined with the relativistic quark pair creation model in a consistent way. This scheme could be applied to study the "unquenched" effect of the meson spectra. As an example, if the lowest $J^{PC}=0^{++}$ $(u\bar u+d\bar d)/\sqrt{2}$ bound state in the potential model is coupled to the $ππ$ continuum, two resonance poles could be found from the scattering amplitude for the continuum states. One of them could correspond to the $f_0(500)/σ$ and the other probably $f_0(1370)$. This scheme might shed more light on why extra states could appear in the hadron spectrum other than the prediction of the quark potential model.
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