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Rigorous Effective Field Theory Study on Pion Form Factor

2000/05/18 by Xiaojun Wang, Xiao-Jun Wang, Wang, Xiao-Jun +2
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0005184

revtex file, 10 pages, 4 eps figures

arxiv created 2000/05/18 · openalex publication_date 2000/05/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study e+e-→π+π- cross section and phase shift of I=l=1 π-π scattering below 1GeV in framework of chiral constituent quark model. The results including all order contribution of the chiral perturbation expansion and all one-loop effects of pseudoscalar mesons, but without any adjust parameters. Width of ρ predicted by the model strongly depends on transition momentum-square q2. We show that the mass pamameter of ρ-meson in its propagator is very different from its physical mass due to momentum-dependent width of ρ. The mass difference between ρ0 and ω are predicted successfully. The rigorous theoretical prediction on e+e-→π+π- cross section and the phase shift in I=l=1 π-π scattering agree with data excellentlly.

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