相对论Friedrichs-Lee-QPC格式中的双极结构
Two-pole structures in a relativistic Friedrichs-Lee-QPC scheme
摘要：
在相对论性的Friedrichs-Lee模型和相对论性的夸克对产生模型中，两极结构的一般外观是一致的。当$S$分波中的一个$q\bar q$态与开味连续态耦合时，可以发现这种两极结构。我们发现许多神秘的态，如$f_0(500)/σ$，$K_0^*(700)/κ$，$a_0(980)$，$f_0(980)$，$D_0^*(2300)$，$D_{s0}^*(2317)$和$X(3872)$，以及每一个的另一个更高的状态，都是由这种两极结构产生的。此外，一个有趣的观察是，这种双极结构将贡献大约总共180 $^\circ$相移的散射过程中的单通道近似。这一相对论性方案可能为理解非$q\bar q$态的性质提供更多的启示。这种两极结构可能是一种普遍现象，值得从理论和实验两个角度进行研究。
英文摘要：
A general appearance of two-pole structures is exhibited in a relativistic Friedrichs-Lee model combined with a relativistic quark pair creation model in a consistent manner. This kind of two-pole structure could be found when a $q\bar q$ state couples to the open-flavor continuum state in the $S$ partial wave. We found that many enigmatic states, such as $f_0(500)/σ$, $K_0^*(700)/κ$, $a_0(980)$, $f_0(980)$, $D_0^*(2300)$, $D_{s0}^*(2317)$, and $X(3872)$, together with another higher state for each, all result from this kind of two-pole structures. Furthermore, an interesting observation is that this kind of two-pole structure will contribute roughly a total of 180$^\circ$ phase shift for the scattering process in a single channel approximation. This relativistic scheme may provide more insights into the understanding of the properties of non-$q\bar q$ state. It is also suggested that such two-pole structure could be a common phenomenon which deserves studying both from theoretical and experimental perspectives.
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