A possible subthreshold pole in S11 channel from πN Roy-Steiner equation analyses

Xiong-Hui Cao,Qu-Zhi Li,Hanqing Zheng

Published 2022 in Journal of High Energy Physics

ABSTRACT

The hyperbolic version of Roy-Steiner equation describing low energy πN 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 S11 channel is found located at s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \sqrt{s} $$\end{document} = (918 ± 3) − i(163 ± 9) MeV.

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