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

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arxiv 2207.09743 v3 pith:4YPLJDPO submitted 2022-07-20 hep-ph

Xiong-Hui Cao , Qu-Zhi Li , Han-Qing Zheng This is my paper · ORCID
classification hep-ph
keywords channelequationpoleroy-steinersubthresholdagreementanalysesanalyticity
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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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  1. Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A Roy-Steiner dispersive analysis of lattice QCD pion-kaon data at m_pi = 391 MeV finds the κ resonance at (966-i198) MeV, a broad resonance rather than the virtual-state pole reported in K-matrix analyses.

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