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

Abstract

The hyperbolic version of Roy-Steiner equation describing low energy π 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 S11 channel is found located at s=(918 3)-i (163 9)~MeV.

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