Observation of $\psi \left(3686\right)\to \Xi \left(1530{\right)}^{-}\overline{\Xi }\left(1530{\right)}^{+}$ and $\Xi \left(1530{\right)}^{-}{\overline{\Xi }}^{+}$

Using $448.1×{10}^{6}\text{}\text{}\psi \left(3686\right)$ events collected with the BESIII detector at BEPCII, we employ a single-baryon tagging technique to make the first observation of $\psi \left(3686\right)\to \Xi \left(1530{\right)}^{-}\overline{\Xi }\left(1530{\right)}^{+}$ and $\Xi \left(1530{\right)}^{-}{\overline{\Xi }}^{+}$ decays with a statistical significance of more than $10\sigma $ and $5.0\sigma $, respectively. The branching fractions are measured to be $B\left(\psi \left(3686\right)\to \Xi \left(1530{\right)}^{-}\overline{\Xi }\left(1530{\right)}^{+}\right)=\left(11.45±0.40±0.59\right)×{10}^{-5}$ and $B\left(\psi \left(3686\right)\to \Xi \left(1530{\right)}^{-}{\overline{\Xi }}^{+}\right)=\left(0.70±0.11±0.04\right)×{10}^{-5}$. The angular distribution parameter for $\psi \left(3686\right)\to \Xi \left(1530{\right)}^{-}\overline{\Xi }\left(1530{\right)}^{+}$ is determined to be $\alpha =0.40±0.24±0.06$, which agrees with the theoretical predictions within $1\sigma $. The first uncertainties are statistical, and the second systematic.