Annihilation Rate of Heavy 0^{++} P-wave Quarkonium in Relativistic Salpeter Method
Abstract
Description
Two-photon and two-gluon annihilation rates of P-wave scalar charmonium and bottomonium up to third radial excited states are estimated in the relativistic Salpeter method. We solved the full Salpeter equation with a well defined relativistic wave function and calculated the transition amplitude using the Mandelstam formalism. Our model dependent estimates for the decay widths: $Γ(χ_{c0} \to 2γ)=3.78$ keV, $Γ(χ'_{c0} \to 2γ)=3.51$ keV, $Γ(χ_{b0} \to 2γ)=48.8$ eV and $Γ(χ'_{b0} \to 2γ)=50.3$ eV. We also give estimates of total widths by the two-gluon decay rates: $Γ_{tot}(χ_{c0})=10.3$ MeV, $Γ_{tot}(χ'_{c0})=9.61$ MeV, $Γ_{tot}(χ_{b0})=0.887$ MeV and $Γ_{tot}(χ'_{b0})=0.914$ MeV.
8 pages, 1 figure, 4 tables
8 pages, 1 figure, 4 tables