  The measurement of decay parameters is one of the important goals of particle
physics experiments, and the measurement serves as a probe to search for
evidence of CP violation in baryonic decays. The experimental results will help
advance existing theoretical research and establish new experimental
objectives. In this paper, we formulate the asymmetric parameters that
characterize parity violation, and then derive formulas for the measurement of
CP violation. The formulae for the joint angular distribution of the full decay
chain as well as the polarization observable of $\Xi ^ 0 $, $\bar { \Xi } ^ 0
$, $\Lambda $ and $\bar { \Lambda } $ are also provided for experiments.
Lastly, we evaluated the sensitivity of two asymmetric parameters: $\alpha _ {
\Xi ^ 0 \to \Lambda \pi ^ 0 } $ (abbreviated as $\alpha _ { \Xi ^ 0 } $) and
$\alpha _ { \bar { \Xi } ^ 0 \to \bar { \Lambda } \gamma } $ (abbreviated as
$\alpha_ {\bar{\Xi}^0 } $) for future experimental measurement.
