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Unitarity and Analyticity Bounds on Pion-Nucleon Helicity Amplitudes

Brian D. Hahn, D.P. Hodgkinson

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Abstract

Unitarity and analyticity bounds on the absorptive parts of ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p$ $s$-channel helicity amplitudes are compared with the results of a recent amplitude analysis. It is found that in particular the helicity-flip amplitude is severely restricted in the forward region.

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What this paper is about

Unitarity and analyticity bounds on the absorptive parts of ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p$ $s$-channel helicity amplitudes are compared with the results of a recent amplitude analysis. It is found that in particular the helicity-flip amplitude is severely restricted in the forward region.

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Available abstract

Unitarity and analyticity bounds on the absorptive parts of ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p$ $s$-channel helicity amplitudes are compared with the results of a recent amplitude analysis. It is found that in particular the helicity-flip amplitude is severely restricted in the forward region.

Key concepts: Helicity, Unitarity, Physics, Pion, Amplitude, Nucleon, Particle physics, Scattering amplitude

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