We perform an analysis on the ${\chi }_{cJ}$ polarization in the ${\psi }^{\prime }$ radiative transition and propose to use it to probe the mechanism of ${\chi }_{cJ}$ decay to the baryon-antibaryon pairs in experiment. To start with the unpolarized $e^{+}{e}^{-}$ collisions, we follow the polarization transfer to the ${\chi }_{cJ}$ states, and estimate the degree of ${\chi }_{cJ}$ polarization. We show that the $\mathrm{\Lambda }\overline{\mathrm{\Lambda }}$ pair has rich spin configurations, which are beneficial for us to study its decay asymmetry parameter and measure the helicity amplitudes. The experimental observables to reveal the ${\chi }_{cJ}$ and $\mathrm{\Lambda }\overline{\mathrm{\Lambda }}$ spin polarization are presented.

• Received 27 April 2020
• Accepted 9 July 2020

DOI:https://doi.org/10.1103/PhysRevD.102.016021