Annihilation Rate of $2^{++}$ Charmonium and Bottomonium

Details Annihilation Rate of $2^{++}$ Charmonium and Bottomonium Annihilation Rate of $2^{++}$ Charmonium and Bottomonium

2009-04-09

arxiv.org/abs/0904.1604v1

Phys.Lett.B674:172-175,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages,1 figure, 3 tables

Scientific paper

10.1016/j.physletb.2009.03.030

Two-photon annihilation rates of $2^+$ tensor charmonium and bottomonium up to third radial excited states are estimated in the relativistic Salpeter method. Full Salpeter equation for $2^+$ tensor state is solved with a well defined relativistic wave function and we calculated the annihilation amplitude using the Mandelstam formalism. Our estimates of the decay widths are: $\Gamma(\chi_{c2} \to 2\gamma)=501$ eV, $\Gamma(\chi'_{c2} \to 2\gamma)=534$ eV, $\Gamma(\chi_{b2} \to 2\gamma)=7.4$ eV and $\Gamma(\chi'_{b2} \to 2\gamma)=7.7$ eV. We also give total decay widths of the lowest states estimated by the two-gluon decay rates, and the results are: $\Gamma_{tot}(\chi_{c2})=2.64$ MeV, $\Gamma_{tot}(\chi_{b2})=0.220$ MeV and $\Gamma_{tot}(\chi'_{b2})=0.248$ MeV.

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