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arXiv · 2207.09743

A possible subthreshold pole in $S_{11}$ channel from $\pi N$ Roy-Steiner equation analyses

Xiong-Hui Cao·Qu-Zhi Li·Han-Qing Zheng
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Abstract

The hyperbolic version of Roy-Steiner equation describing low energy $\pi N$ scatterings, with larger analyticity domain in the complex $s$ plane is solved. The numerical results on phase shifts of low partial waves are in agreement with that of Hoferichter et al. [Phys. Rept. 625 (2016) 1]. A subthreshold pole in $S_{11}$ channel is found located at $\sqrt{s}=(918 \pm 3)-i (163 \pm 9)$~MeV.

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Xiong-Hui Cao, Qu-Zhi Li, Han-Qing Zheng. 2022-07-20. A possible subthreshold pole in $S_{11}$ channel from $\pi N$ Roy-Steiner equation analyses. https://doi.org/10.1007/jhep12(2022)073

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