The Benchmark Mode Ωc → Ω⁻π⁺ and Its Related Processes

The benchmark mode Ωc⁰→ Ω⁻ π⁺, which receives purely factorization contribution, is of great importance among all the decay channels of Ωc⁰ decays. In this work, within the framework of non-relativistic quark model (NRQM), we calculate all the 6 baryon transition form factors involving 12 ⁺→ 32 ⁺ decays. The absolute branching fractions of non-leptonic decays Ωc⁰→ Ω⁻ π⁺, Ωc⁰→ Ω⁻ ρ⁺ and Ωc⁰→ Ξ⁻ π⁺ as well as semi-leptonic decays Ωc⁰→ Ω⁻ ⁺ ν_ \; (=e,μ) are calculated although they cannot be measured directly by current experiment. Based on the prediction B(Ωc⁰→Ω⁻π⁺)=3.43% in our work, we further predict the ratios between interested modes and the benchmark mode, giving R(Ξ⁻π⁺)=0.156, R(Ω⁻ρ⁺)=5.33, R(Ω⁻ e⁺νₑ)=1.18 and R(Ω⁻ μ⁺ν_μ)=1.11. The predictions on Ωc⁰→ Ξ⁻π⁺ and Ωc⁰→ Ω⁻ e⁺ν agree well with recent measured ratios reported by LHCb in 2023 and ALICE in 2024, respectively.