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

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

2022Journal of High Energy Physics12 citationsDOIOpen Access PDF

Abstract

A bstract 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 S 11 channel is found located at $$ \sqrt{s} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math> = (918 ± 3) − i (163 ± 9) MeV.

Topics & Concepts

PhysicsSubthreshold conductionDomain (mathematical analysis)Channel (broadcasting)Mathematical physicsPlane (geometry)Energy (signal processing)Quantum mechanicsMathematical analysisGeometryTelecommunicationsTransistorMathematicsVoltageComputer scienceQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions Research
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