On the two-photon decay width of the sigma meson

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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6 pages, 4 figures

Scientific paper

10.1103/PhysRevD.77.034007

We shortly report on the two-photon decay width of the light $\sigma$-meson interpreted as a quarkonium state. Results are given in dependence on the $\sigma$-mass and the constituent mass of the light quark. The triangle quark-loop diagram, responsible for the two-photon transition, is carefully evaluated: a term in the transition amplitude, often omitted in literature, results in destructive interference with the leading term. As a result we show that the two-photon decay width of the $\sigma $ in the quarkonium picture is less than 1 keV for the physical range of parameters.

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