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Pion electromagnetic form factor in the spacelike region andPphaseδ11(s)ofππscattering from the value of the modulus of the form factor in the timelike region

1998/06/19 by B.V. Geshkenbein, B. V. Geshkenbein · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.61.033009

published as Phys.Rev. D61 (2000) 033009 · in Latex format, figure 1, pages 14

arxiv created 1998/06/19 · openalex publication_date 2000/01/11 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The problem of determining the pion electromagnetic form factor F(q2) in the spacelike region from the value of its modulus in the timelike region is solved by form factor analyticity. If F(q2) has no zeros in the complex plane then the form factor in the spacelike region is determined uniquely. If F(q2) has zeros in the complex plane q2 it can be obtained in the spacelike region within narrow limits using experimental data from the timelike region. The form factor phase \ensuremathφ(s) which coincides with the P-wave phase \ensuremathδ11(s) of \ensuremathπ\ensuremathπ scattering is calculated. The value of the pion radius has been improved.

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