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Factorizability of resonance poles in multiparticle amplitudes

Using the energy‐analytic representation of Green's functions and relying on certain explicitly stated properties of the off‐shell scattering elements, it is shown that resonance poles in the S matrix contribute poles to the off‐shell scattering amplitude, and the residues there have the same f...

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Bibliographic Details
Published in:Journal of mathematical physics 1974-11, Vol.15 (11), p.1859-1865
Main Author: Smith, J. Denmead
Format: Article
Language:English
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Summary:Using the energy‐analytic representation of Green's functions and relying on certain explicitly stated properties of the off‐shell scattering elements, it is shown that resonance poles in the S matrix contribute poles to the off‐shell scattering amplitude, and the residues there have the same factorizable form as that associated with bound state particles.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1666552