Measurement of the Decay $\hat{I}{ž}^0\to \hat{I}›{\hat{I}}^3$ with Entangled $\hat{I}{ž}^0\bar{\hat{I}}{ž}^0$ Pairs

Abstract

In this Letter, a systematic study of the weak radiative hyperon decay $\hat{I}{ž}^0\to \hat{I}›{\hat{I}}^3$ at an electron-positron collider using entangled $\hat{I}{ž}^0\bar{\hat{I}}{ž}^0$ pair events is presented. The absolute branching fraction for this decay has been measured for the first time, and is $\left(1.347\pm 0.066_{\mathrm{s}tat.}\pm 0.054_{\mathrm{s}yst.}\right)\times 10^{-3}$. The decay asymmetry parameter, which characterizes the effect of parity violation in the decay, is determined to be $-0.741\pm 0.062_{\mathrm{s}tat.}\pm 0.019_{\mathrm{s}yst.}$. The obtained results are consistent with the world average values within the uncertainties, offering valuable insights into the underlying mechanism governing the weak radiative hyperon decays. The charge conjugation parity ($CP$) symmetries of branching fraction and decay asymmetry parameter in the decay are also studied. No statistically significant violation of charge conjugation parity symmetry is observed.

7 pages, 1 figures