Observation of the electromagnetic radiative decays of the \boldmath{$Λ(1520)$} and \boldmath{$Λ(1670)$} to \boldmath{$γΣ^0$}
Using $(10087\pm 44)\times10^6$ $J/ψ$ events collected with the BESIII detector, we report the first observation of the electromagnetic radiative decays of the $Λ(1520)$ and $Λ(1670)$ to $γΣ^0$, with a statistical significance of $16.6σ$ and $23.5σ$, respectively. The ratio of the branching fractions $\frac{\mathcal{B}(Λ(1520)\toγΛ)}{\mathcal{B}(Λ(1520)\toγΣ^0)}$ is determined to be $2.88\pm0.27(\text{stat.})\pm0.21(\text{syst.})$, which is in good agreement with flavor SU(3) symmetry. The branching fraction of $Λ(1520)\toγΣ^0$ is measured to be $\mathcal{B}(Λ(1520)\toγΣ^0)=(2.95\pm0.28(\text{stat.})\pm0.56(\text{syst.}))\times 10^{-3}$, corresponding to a partial width of $Γ(Λ(1520)\toγΣ^0)=(47.2\pm4.5(\text{stat.})\pm9.0(\text{syst.}))$ keV, which is inconsistent with predictions from the relativized constituent quark model and the Algebraic model. Additionally, we observe a clear resonant structure in the $γΣ^0$ mass spectrum around 1.67 GeV/$c^2$, attributed to the $Λ(1670)$. The product branching fraction $\mathcal{B}(J/ψ\to\barΛΛ(1670)+c.c.)\times\mathcal{B}(Λ(1670)\toγΣ^0)$ is measured for the first time as $(5.39\pm0.29(\text{stat.})\pm 0.44(\text{syst.}))\times 10^{-6}$. However, no corresponding structure is seen in the $γΛ$ mass spectrum, so an upper limit on the product branching fraction $\mathcal{B}(J/ψ\to\barΛΛ(1670)+c.c.)\times\mathcal{B}(Λ(1670)\toγΛ)$ is determined to be $5.97\times10^{-7}$ at the 90\% confidence level.