Analyticity constrained pion-nucleon analysis

Sainio, M.E.

doi:10.22323/1.086.0013

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General Remarks On Existing Pion-nucleon Partial-wave Analyses1

A1 Nucleon Exchange1

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2013

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“…22 For the t-channel partial waves in the physical region t ≥ t N , however, there exists a partial-wave analysis [70], which at least in principle could be used as input. Finally, a partial update of the KH80 analysis including new data and using more computational power was reported in [71], but so far only results for forward πN scattering have been published [72].…”

Section: General Remarks On Existing Pion-nucleon Partial-wave Analysesmentioning

confidence: 99%

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Roy-Steiner equations for pion-nucleon scattering

Ditsche¹,

Hoferichter²,

Kubis³

et al. 2013

Proceedings of the 7th International Workshop on Chiral Dynamics — PoS(CD12)

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Starting from hyperbolic dispersion relations for the invariant amplitudes of pion-nucleon scattering together with crossing symmetry and unitarity, one can derive a closed system of integral equations for the partial waves of both the s-channel (πN → πN) and the t-channel (ππ →NN) reaction, called Roy-Steiner equations. After giving a brief overview of the Roy-Steiner system for πN scattering, we demonstrate that the solution of the t-channel subsystem, which represents the first step in solving the full system, can be achieved by means of Muskhelishvili-Omnès techniques. In particular, we present results for the P-waves featuring in the dispersive analysis of the electromagnetic form factors of the nucleon.

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