Probing $\ddot{I}{‡}_{cJ}(J=0,1,2)$ decay into baryon and anti-baryon with SU(3) flavor analysis

Abstract

With the accurate measurements of $\ddot{I}{‡}_{cJ}(J=0,1,2)$ charmonium decays, we explore $\ddot{I}{‡}_{cJ}\to {\mathcal{B}}_8{\bar{\mathcal{B}}}_8$ and ${\mathcal{B}}_{10}{\bar{\mathcal{B}}}_{10}$ decays based on the SU(3) flavor symmetry model, where ${\mathcal{B}}_8$ and ${\mathcal{B}}_{10}$ are light octet and decuplet baryons, respectively. The decay amplitude relations are determined by an effective interaction Hamiltonian. Then using experimental data and the amplitude relations of $\ddot{I}{‡}_{cJ}\to {\mathcal{B}}_8{\bar{\mathcal{B}}}_8$, ${\mathcal{B}}_{10}{\bar{\mathcal{B}}}_{10}$ decays, relative nonperturbative coefficients are constrained, and the branching ratios of unmeasured $\ddot{I}{‡}_{cJ}\to {\mathcal{B}}_8{\bar{\mathcal{B}}}_8,{\mathcal{B}}_{10}{\bar{\mathcal{B}}}_{10}$, for examples, $\ddot{I}{‡}_{cJ}\to n\bar{n}$ and $\ddot{I}{‡}_{cJ}\to \hat{I}›\bar{\hat{I}}{\pounds }^0+\bar{\hat{I}}›\hat{I}{\pounds }^0$ channels, are predicted. Moreover, we discuss the case of adding a mixing angle between $\hat{I}›$ and $\hat{I}{\pounds }^0$, which is determined by the quark mass differences. Our results provide valuable insights that will aid in advancing our understanding of the mechanisms and characteristics of $\ddot{I}{‡}_{cJ}$ decays.