P-wave pi pi amplitude from dispersion relations

Abstract

We solve the dispersion relation for the P-wave pi pi amplitude.We discuss the role of the left hand cut vs Castillejo-Dalitz-Dyson (CDD), pole contribution and compare the solution with a generic quark model description. We review the the generic properties of analytical partial wave scattering and production amplitudes and discuses their applicability and fits of experimental data.

10 pages, 7 figures, typos corrected, reference added

References in corpus (15)

• Mass and width of the lowest resonance in QCD
• On the nature of light scalar mesons from their large $N_c$ behavior
• Quark mass dependence of s-wave baryon resonances
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Precision Determination of the Pion Form Factor and Calculation of the Muon $g-2$
• The pion-pion scattering amplitude. III: Improving the analysis with forward dispersion relations and Roy equations
• Glueball nature of the sigma/f_0(600) from pi-pi and gamma-gamma scatterings
• Finding the sigma pole by analytic extrapolation of $\pi \pi$ scattering data
• Two photons into π^0π^0
• Quark mass dependence of the pion vector form factor
• Photoproduction of ${\pi }^{+}{\pi }^{-}$ meson pairs on the proton
• On the precision of chiral-dispersive calculations of $\pi \pi$ scattering
• The sigma -> gamma gamma Width from Nucleon Electromagnetic Polarizabilities
• First measurement of direct $f_0(980)$ photoproduction on the proton

Cited by in corpus (4)

• Dynamical light vector mesons in low-energy scattering of Goldstone bosons
• Data-driven dispersive analysis of the $\pi \pi$ and $\pi K$ scattering
• Amplitudes for the analysis of the decay $J/\psi \to K^{+}{K}^{-}{\pi }^0$
• On the Partial-Wave Analysis of Mesonic Resonances Decaying to Multiparticle Final States Produced by Polarized Photons