Light hyperon physics at the BESIII experiment

The BESIII experiment at the electron-positron collider BEPCII in Beijing (China) is successfully operating since 2008 and has collected large data samples in the tau-mass region, including the world’s largest data samples at the $J\mathrm{/}\psi$ and ${\psi }^{\mathrm{\prime }}$ resonances. The recent observations of hyperon polarizations at BESIII opens a new window for testing CP violation, as it allows for simultaneous production and detection of hyperon and anti-hyperon pair two-body weak decays. The CP-symmetry tests can be performed in processes like e.g. $J\mathrm{/}\psi \to \mathrm{\Lambda }\bar{\mathrm{\Lambda }}$, $J\mathrm{/}\psi ,{\psi }^{\mathrm{\prime }}\to {\mathrm{\Sigma }}^{+}{\bar{\mathrm{\Sigma }}}^{-}$ and $J\mathrm{/}\psi \to {\mathrm{\Xi }}^{-}{\bar{\mathrm{\Xi }}}^{+}$. For the ${\mathrm{\Xi }}^{-}\to \mathrm{\Lambda }{\pi }^{-}$ decay it is possible to perform three independent CP tests and determine the strong phase and weak phase difference.