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arxiv: 0901.3917 · v4 · pith:PDY23OTVnew · submitted 2009-01-25 · ✦ hep-ph

gaga and g g decay rates for equal mass heavy quarkonia

classification ✦ hep-ph
keywords charmoniumequalmassupsilonwaveamplitudeapproachbethe-salpeter
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We present a calculation of the two-photon and two-gluon widths for the equal mass quarkonium states $^1S_0$, $^3P_0$ and $^3P_2$ of the charmonium and upsilon systems. The approach taken is based on using the full relativistic $q\bar{q}\to\ga\ga$ amplitude together with a wave function derived from the instantaneous Bethe-Salpeter equation. Momentum space radial wave functions obtained from an earlier fit of the charmonium and upsilon spectra are used to evaluate the necessary integrals.

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