Phenomenological Study of $\Omega_c\rightarrow \Omega^-\pi^+$ at Polarized Electron-Positron Collider

TL;DR

This study analyzes P and CP symmetry properties in the decay of $ ext{Omega}_c$ baryons at polarized electron-positron colliders, developing angular distribution formulas and assessing detection sensitivities for future experiments.

Contribution

It provides a systematic analysis framework for decay asymmetries of $ ext{Omega}_c$, incorporating polarization effects and guiding future symmetry tests at colliders.

Findings

Formulated comprehensive angular distribution for $ ext{Omega}_c$ decay processes.

Assessed detection sensitivity of asymmetry parameters under various experimental conditions.

Contributed to the theoretical foundation for future symmetry experiments at STCF.

Abstract

The exploration of symmetry laws stands as a cutting-edge direction in modern physics research. This work delves into the examination of P and CP symmetry properties within the charm quark system by analyzing asymmetry parameters in the two-body decay process of $\Omega_c$. By accounting for the polarization effects of electron and positron beams and employing the helicity formalism, we systematically analyze the decay characteristics of $\Omega_c$ and its subsequent hyperon decays through specific asymmetry parameters. A comprehensive formulation of the angular distribution for these decay processes has been developed. The research assesses the detection sensitivity of asymmetry parameters in the $\Omega_c\rightarrow \Omega^-\pi^+$ decay mode across different experimental conditions, including varying data sample sizes and beam polarization configurations. These results contribute to enriching a theoretical foundation for forthcoming experimental endeavors at the STCF, offering significant implications for symmetry studies in the charm sector.