论文标题
相对论的弗里德里希斯 - 李模型和夸克 - 生成创建模型
Relativistic Friedrichs-Lee model and quark-pair creation model
论文作者
论文摘要
在本文中,我们介绍了如何将Friedrichs-Lee模型扩展到相对论方案,并与相对论的夸克对创建模型结合在一起。该方案可以应用于研究介子光谱的“无震动”效应。例如,如果最低$ j^{pc} = 0^{++} $(u \ bar u+d \ bar d \ bar d)/\ sqrt {2} $在潜在模型中绑定的状态耦合到$ππ$ continuum,则可以从conteruum状态的散射弹片中找到两个共振极,则可以找到两个共振极。其中一个可以对应于$ f_0(500)/σ$,另一个可能对应于$ f_0(1370)$。该方案可能会更多地说明为什么除了预测夸克电势模型以外,为什么还可以出现额外的状态。
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.