Probing χ cJ(J=0,1,2) decay into baryon and anti-baryon with SU(3) flavor analysis

With the accurate measurements of χ cJ(J=0,1,2) charmonium decays, we explore χ cJ→ B₈B̄₈ and B₁₀B̄₁₀ decays based on the SU(3) flavor symmetry model, where B₈ and B₁₀ 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 χ cJ→ B₈B̄₈, B₁₀B̄₁₀ decays, relative nonperturbative coefficients are constrained, and the branching ratios of unmeasured χ cJ→ B₈B̄₈,B₁₀B̄₁₀, for examples, χ cJ→ nn̄ and χ cJ→Λ Σ̄⁰+Λ̄ Σ⁰ channels, are predicted. Moreover, we discuss the case of adding a mixing angle between Λ and Σ 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 χ cJ decays.