η-η' -Glueball mixing from photon-meson transition form factors and decay ratio D_s --> ηl ν/ η' l ν

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Twocoloumn Revtex, 5 pages, 5 figures, 12 .eps files

Scientific paper

10.1016/S0370-2693(97)00607-2

The background due to the direct diffractive dissociation of the photon into the $\pi^+\pi^-$-pair to the "elastic" diffractive $\rho^0$-meson production in electron-proton collisions is calculated. The amplitude for the background process $\gamma p \to \pi^+ \pi^- p$ is proportional to the $\pi$-meson - proton cross section. Therefore, describing the HERA data, we can estimate $\sigma (\pi p)$ at energy $s_{\pi p}\sim (2 - 3) 10^{3} GeV^2$ that is considerably higher the existing data. At large $Q^2$ the interference between resonant and non-resonant $\pi^+ \pi^-$ production leads also to the more slow increase of the $\sigma^L/\sigma^T$ ratio with the mass of the $2\pi$ (i.e. $\rho^0$-meson) state.

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