2000/03/31 by D. Gómez Dumm, D. Gomez Dumm, A. Pich +3 · 4 citations
Physics and Astronomy · #Hadron #High-Energy Particle Collisions Research #Materials science #Meson #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Shell (structure) #hep-ph
paper · pdf · doi:10.1103/physrevd.62.054014
published as Phys.Rev. D62 (2000) 054014 · 1+12 pages, 4 figures. Minor changes in text. Conclusions unchanged. Version accepted for publication in Phys. Rev. D
arxiv created 2000/06/15 · openalex publication_date 2000/07/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Within the resonance chiral effective theory we study the dressed propagators of the spin-1 fields, which arise from a Dyson-Schwinger resummation perturbatively constructed from loop diagrams with absorptive contributions in the s channel. We apply the procedure to the vector pion form factor and elastic \ensuremathπ\ensuremathπ scattering to obtain the off-shell width of the \ensuremathρ0 meson. We adopt a definition of the off-shell width of spin-1 meson resonances that satisfies the requirements of analyticity, unitarity, chiral symmetry, and asymptotic behavior ruled by QCD. To satisfy these constraints the resummation procedure cannot consist only of self-energy diagrams. Our width definition is shown to be independent of the formulation used to describe the spin-1 meson resonances.