Improved measurement of the branching fractions for $J/ψ\toγπ^0$, $γη$ and $γη^\prime$
Using a data sample of $(1.0087\pm 0.0044)\times 10^{10}$ $J/ψ$ events collected with the BESIII detector, the decays of $J/ψ\toγπ^{0} (η, η^\prime)\toγγγ$ are studied. Newly measured branching fractions are $\mathcal{B}$$(J/ψ\toγπ^{0})$=$(3.34\pm 0.02\pm 0.09)\times 10^{-5}$, $\mathcal{B}$$(J/ψ\toγη)$=$(1.096\pm 0.001\pm0.019)\times 10^{-3}$ and $\mathcal{B}$$(J/ψ\toγη^\prime)$=$(5.40\pm 0.01\pm0.11)\times 10^{-3}$, where the first uncertainties are statistical and the second are systematic. These results are consistent with the world average values within two standard deviations. The ratio of partial widths $Γ(J/ψ\toγη^\prime)/Γ(J/ψ\toγη)$ is measured to be $4.93 \pm 0.13$. The singlet-octet pseudoscalar mixing angle $θ_P$ is determined to be $θ_P = -(22.11 \pm0.26)^\circ$ or $-(19.34 \pm 0.34)^\circ$ with two different phenomenological models.