Derivation and implications of rigorous absolute bounds for pi pi partial waves up to 1 GeV

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Generalized dispersion relations and axiomatic results are used to derive absolute upper bounds for the pi pi partial waves in a complex energy domain containing the physical region up to 1 GeV. As applications, a new lower bound for the pi /sup 0/ pi /sup 0/ S-wave scattering length is given and so...

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Detalles Bibliográficos
Autor principal: Bonnier, B
Lenguaje:eng
Publicado: 1975
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(75)90482-4
http://cds.cern.ch/record/873197
Descripción
Sumario:Generalized dispersion relations and axiomatic results are used to derive absolute upper bounds for the pi pi partial waves in a complex energy domain containing the physical region up to 1 GeV. As applications, a new lower bound for the pi /sup 0/ pi /sup 0/ S-wave scattering length is given and some ambiguities in the connection between resonances and second sheet poles are removed. (11 refs).

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