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

High Energy Physics - Phenomenology 2022-12-28 v3

Abstract

The hyperbolic version of Roy-Steiner equation describing low energy πN\pi N scatterings, with larger analyticity domain in the complex ss 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 S11S_{11} channel is found located at s=(918±3)i(163±9)\sqrt{s}=(918 \pm 3)-i (163 \pm 9)~MeV.

Keywords

Cite

@article{arxiv.2207.09743,
  title  = {A possible subthreshold pole in $S_{11}$ channel from $\pi N$ Roy-Steiner equation analyses},
  author = {Xiong-Hui Cao and Qu-Zhi Li and Han-Qing Zheng},
  journal= {arXiv preprint arXiv:2207.09743},
  year   = {2022}
}

Comments

12 pages, 4 figures; Minor improvements in numerical results and discussions, conclusions unchanged, final version to appear in JHEP