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Glueball nature of the σ/f0(600) from ππ and γγ scatterings G. Mennessier ∗ a, S. Narison † a ‡ b

By W. Ochs


We estimate the I = 0 scalar meson σ/f0(600) parameters from ππ and γγ scattering data below 700 MeV using an improved analytic K-matrix model. A fit of the hadronic data gives a complex pole mass Mσ = 422 − i 290 MeV, while simultaneous best fits of the γγ → π + π − , π 0 π 0 data give a direct width of (0.13 ± 0.05) keV, a rescattering component of (2.7 ± 0.4) keV and a total (direct+rescattering) width of (3.9 ± 0.6) keV. “Running ” these results to the physical real axis, the small “direct” γγ and the large hadronic widths at the “on-shell ” mass are compatible with QCD spectral sum rules (QSSR) and some lowenergy theorems (LET) expectations for an unmixed lowest mass glueball/gluonium σB of a mass around 1 GeV and a large OZI-violation decay into ππ. 1

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