Dispersion Relation Analyses of Pion Form Factor, Chiral Perturbation Theory and Unitarized Calculations

Details Dispersion Relation Analyses of Pion Form Factor, Chiral Perturbation Theory and Unitarized Calculations Dispersion Relation Analyses of Pion Form Factor, Chiral Perturbation Theory and Unitarized Calculations

2000-01-26

arxiv.org/abs/hep-ph/0001271v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 4 PostScript figures some minor changes and added references

Scientific paper

The Vector Pion form factor below 1 GeV is analyzed using experimental data on its modulus, the P-wave pion pion phase shifts and dispersion relation. It is found that causality is satisfied. Using dispersion relation, terms proportional to s squared and s cubed are calculated using the experimental data, where s is the momentum transfer. They are much larger than the one-loop and two-loop Chiral Perturbation Theory calculations. Unitarized model calculations agree very well with dispersion relation results.

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