arXiv · hep-ph/9702383
η-η' -Glueball mixing from photon-meson transition form factors and decay ratio D_s --> ηl ν/ η' l ν
Abstract
The background due to the direct diffractive dissociation of the photon into the $π^+π^-$-pair to the "elastic" diffractive $ρ^0$-meson production in electron-proton collisions is calculated. The amplitude for the background process $γp \to π^+ π^- p$ is proportional to the $π$-meson - proton cross section. Therefore, describing the HERA data, we can estimate $σ(πp)$ at energy $s_{πp}\sim (2 - 3) 10^{3} GeV^2$ that is considerably higher the existing data. At large $Q^2$ the interference between resonant and non-resonant $π^+ π^-$ production leads also to the more slow increase of the $σ^L/σ^T$ ratio with the mass of the $2π$ (i.e. $ρ^0$-meson) state.
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V. V. Anisovich, D. V. Bugg, D. I. Melikhov, V. A. Nikonov. 1997-02-21. η-η' -Glueball mixing from photon-meson transition form factors and decay ratio D_s --> ηl ν/ η' l ν. https://doi.org/10.1016/s0370-2693(97)00607-2
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