Study of $χ_{c0}(1P) --> J/ψγ$ and $χ_{b0}(1P) --> Υ(1S) γ$ decays via QCD sum rules

In this study we present the first theoretical calculation of the form factor of the $χ_{c0}(1P) \rar J/ψγ$ and $χ_{b0}(1P) \rightarrow Υ(1S) γ$ decays in the frame work of QCD sum rules. We also find branching ratio ${\cal B}_r(χ_{c0}(1P) \rightarrow J/ψγ)=(1.07\times \pm 0.14) \times 10^{(-2)}$ which is in agreement with the experimental data. Furthermore, we estimate the $Γ_{tot}(χ_{b0}(1P)) =5.5\pm 0.5$ MeV, where experimental bound for full width of $χ_{b0}$ is $Γ_{tot}(χ_{b0}(1P)) <6$ MeV.

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