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How imposing analyticity on a ππ phase shift analysis can reveal new solutions, explore experimental structures, and investigate the possibility of new resonances

Authors
Journal
Annals of Physics
0003-4916
Publisher
Elsevier
Publication Date
Volume
114
Identifiers
DOI: 10.1016/0003-4916(78)90262-2

Abstract

Abstract Experiments on ππ scattering determine only the modulus of the amplitude in the inelastic region. Fixed t and u analyticity in the form of conventional dispersion relations are used to determine the phase of the amplitude in this region. This analysis allows local structures in data to be isolated. We find alternative analytic unitary amplitudes exist equally well describing the CERN-Munich data on the π + π − channel. These amplitudes have quite different physical properties with different daughter resonances, which data on other channels and/or e + e − annihilation will be able to distinguish in the very near future.

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