Interpretation of the $Ω_c \to π^+ Ω(2012) \to π^+(\bar{K} Ξ)$ relative to $Ω_c \to π^+\bar{K} Ξ$ from the $Ω(2012)$ molecular perspective

Abstract

We present a mechanism for Ωc → π + Ω(2012) production through an external emission Cabibbo favored weak decay mode, where the Ω( 2012) is dynamically generated from the interaction of KΞ * (1530), ηΩ, with KΞ as the main decay channel. The Ω(2012) decays latter to KΞ in this picture, with results compatible with previous Belle data. The picture has as a consequence that one can evaluate the direct decay Ω 0 c → π + K − Ξ 0 and the decay Ω 0 c → π + KΞ * , π + ηΩ with direct coupling of KΞ * and ηΩ to K − Ξ 0 . We show that, within uncertainties and using data from a recent Belle measurement, all these three channels account for about (12-20)% of the total Ωc → π + K − Ξ 0 decay rate. The consistency of the molecular picture with all the data is established by showing that Ωc → Ξ 0 K * 0 → Ξ 0 K − π + together with Ωc → π + Ω * → π + K − Ξ 0 account for about 85% of the total Ωc → π + K − Ξ 0 .