Observation of Transverse Polarization and Determination of Psionic Form Factors of the $\Lambda$ Hyperon at $\sqrt{s}= 3.773$ GeV

Abstract

Using a data sample of $e^{+}e^{-}$ collision data corresponding to an integrated luminosity of 20.3 fb$^{-1}$ collected by the BESIII detector at the BEPCII collider, we present an observation of transverse polarization and a complete determination of the psionic form factors of the $\Lambda$ hyperon in $e^{+}e^{-}\to{\Lambda}\bar{\Lambda}$ decay with the entangled ${\Lambda}-\bar{\Lambda}$ pair at $\sqrt{s}=3.773$ GeV. The relative phase between the psionic form factors is determined to be $\Delta\Phi=(1.53\pm0.36\pm0.03)$~rad with a significance of 5.5 $\sigma$ taking into account systematic uncertainty. This result indicates a non-zero phase between the transition amplitudes of the ${\Lambda}\bar{\Lambda}$ helicity states. Additionally, we measure the angular distribution parameter and the modulus of the ratio between the psionic form factors to be $\eta=0.86\pm0.05\pm0.03$ and $R(s)=|G_{E}(s)/G_{M}(s)|=0.47\pm0.08\pm0.05$, where the first uncertainty is statistical and the second systematic.