Abstract
The eta transition form factor is analyzed for the first time in both space- and time-like regions at low and intermediate energies in a model-independent approach through the use of rational approximants. The eta rightarrow e^+e^-gamma experimental data provided by the A2 Collaboration in the very low-energy region of the dielectron invariant mass distribution allows for the extraction of the most precise up-to-date slope and curvature parameters of the form factors as well as their values at zero and infinity. The impact of these new results on the mixing parameters of the eta –eta ^prime system, together with the role played by renormalization dependent effects, and on the determination of the VPgamma couplings from Vrightarrow Pgamma and Prightarrow Vgamma radiative decays is also discussed.
Highlights
Introduction. ., and is represented by FPγ ∗γ ∗ (q12, q22), a function of the photon virtualities q12, and q22
The pseudoscalar transition form factors (TFFs) describe the effect of the strong interaction on the γ ∗γ ∗ P vertex, where P = π 0, η, η, ηc . . ., and is represented by FPγ ∗γ ∗ (q12, q22), a function of the photon virtualities q12, and q22
The η transition form factor has been analyzed for the first time in both space- and time-like regions at low and intermediate energies making use of a modelindependent approach based on the use of rational approximants of Padé type
Summary
. ., and is represented by FPγ ∗γ ∗ (q12, q22), a function of the photon virtualities q12, and q22. From the experimental point of view, one can study such TFFs from both space- and time-like energy regions. The time-like region of the TFF can be accessed at meson facilities either through the double Dalitz decay processes P → l+l−l+l−, which give access to both photon virtualities (q12, q22) in the range decay. 4ml2 < (q12, q22) processes P → < − 2ml ), or the , which contains single Dalitz a single virtual photon with transferred momentum in the range 2 l m.
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