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How does the S 11 N*(890) state emerge from a naive K-matrix fit?
Communications in Theoretical Physics ( IF 2.4 ) Pub Date : 2020-09-29 , DOI: 10.1088/1572-9494/aba25d
Yao Ma 1 , Wen-Qi Niu 1 , Yu-Fei Wang 2 , Han-Qing Zheng 1, 3
Affiliation  

We give a pedagogical analysis on $K$ matrix models describing the $\pi N$ scattering amplitude, in $S_{11}$ channel at low energies. We show how the correct use of analyticity in the $s$ channel and crossing symmetry in $t$ and $u$ channels leads to a much improved analytic behavior in the negative $s$ region, in agreement with the prediction from chiral perturbation amplitudes in its validity region. The analysis leads again to the conclusion that a genuine $N^*(890)$ resonance exists.

中文翻译:

S 11 N*(890) 状态如何从朴素的 K 矩阵拟合中出现?

我们对 $K$ 矩阵模型进行教学分析,描述 $\pi N$ 散射幅度,在 $S_{11}$ 通道中低能量。我们展示了如何正确使用 $s$ 通道中的分析性以及 $t$ 和 $u$ 通道中的交叉对称性如何导致负 $s$ 区域的分析行为大大改善,这与手性扰动幅度的预测一致在其有效范围内。分析再次得出结论,存在真正的 $N^*(890)$ 共振。
更新日期:2020-09-29
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