Crossing-symmetry constraints on partial-wave amplitudes and their physical content
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In this article, a simple derivation of a complete set of sum rules implied by crossing symmetry on partial-wave amplitudes is given and the set is shown to be equivalent to the Balachandran-Nuyts crossing relations for partial wave amplitudes.Abstract:
A very simple derivation of a complete set of sum rules implied by crossing symmetry on partial-wave amplitudes is given This set is shown to be equivalent to the Balachandran-Nuyts crossing relations for partial-wave amplitudes Many applications to dynamical models are proposed and discussed, and it is shown in particular that the Pade treatment of theλϕ4 theory for ππ scattering yields extremely good agreement with crossing symmetryread more
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The Padé Approximation and its Physical Applications
TL;DR: The Pade approximation, its mathematical features, and its practical and physical applications are reviewed in this article, where the present status of the convergence problem is described and various proofs of convergence are discussed.
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Crossing and physical partial-wave amplitudes
TL;DR: In this article, the implications of crossing and analyticity properties on partial-wave amplitudes in the physical region were studied. And the results gave strong support to the model of Le Guillou, Morel and Navelet for ππs-waves.
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Partial Wave Crossing Relations for Meson-Baryon Scattering
TL;DR: In this article, three different types of relations for meson-baryon partial wave amplitudes following from the s ↔ u crossing symmetry of the invariant amplitudes are investigated.
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Unambiguous ππS-Waves from general principles and the existence of the ρ-meson
TL;DR: In this article, the authors present a calculation of S-wave ππ amplitudes based upon known rigorous results due to analyticity, unitarity and crossing symmetry; inequalities and crossing sum rules.
Journal ArticleDOI
Neutrino tomography: Tevatron mapping versus the neutrino sky
TL;DR: The feasibility of neutrino tomography of the earth's interior is discussed in this article, taking the 80-GeV W-boson mass determined by Arnison and Banner into account.
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