Forward analysis of πN scattering with an expansion method

Metsä, P.

doi:10.1140/epja/i2007-10460-0

Cited by 4 publications

(3 citation statements)

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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%

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

confidence: 99%

Roy-Steiner equations for pion-nucleon scattering

Ditsche¹,

Hoferichter²,

Kubis³

et al. 2013

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

View full text Add to dashboard Cite

show abstract

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

confidence: 99%

Roy-Steiner equations for pion-nucleon scattering

Ditsche¹,

Hoferichter²,

Kubis³

et al. 2012

J. High Energ. Phys.

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Starting from hyperbolic dispersion relations, we derive a closed system of Roy-Steiner equations for pion-nucleon scattering that respects analyticity, unitarity, and crossing symmetry. We work out analytically all kernel functions and unitarity relations required for the lowest partial waves. In order to suppress the dependence on the high-energy regime we also consider once- and twice-subtracted versions of the equations, where we identify the subtraction constants with subthreshold parameters. Assuming Mandelstam analyticity we determine the maximal range of validity of these equations. As a first step towards the solution of the full system we cast the equations for the $\pi\pi\to\bar NN$ partial waves into the form of a Muskhelishvili-Omn\`es problem with finite matching point, which we solve numerically in the single-channel approximation. We investigate in detail the role of individual contributions to our solutions and discuss some consequences for the spectral functions of the nucleon electromagnetic form factors.Comment: 106 pages, 18 figures; version published in JHE

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“…[14,15]. The forward dispersion relation for C evaluated at ω µ gives the Goldberger-Miyazawa-Oehme sum rule [16] …”

Section: Recent Activitymentioning

confidence: 99%