Theoretical study of the $Ω(2012)$ state in the $Ω_c^0 \to π^+ Ω(2012)^- \to π^+ (\bar{K}Ξ)^-$ and $π^+ (\bar{K}Ξπ)^-$ decays

Abstract

We report on a theoretical study of the newly observed Ω(2012) resonance in the nonleptonic weak decays of Ω 0 c → π + KΞ * (1530)(ηΩ) → π + ( KΞ) − and π + ( KΞπ) − via final-state interactions of the KΞ * (1530) and ηΩ pairs. The weak interaction part is assumed to be dominated by the charm quark decay process: c(ss) → (s + u + d)(ss), while the hadronization part takes place between the sss cluster from the weak decay and a quark-antiquark pair with the quantum numbers J P C = 0 ++ of the vacuum, produces a pair of KΞ * (1530) and ηΩ. Accordingly, the final KΞ * (1530) and ηΩ states are in pure isospin I = 0 combinations, and the Ω 0 c → π + KΞ * (1530)(ηΩ) → π + ( KΞ) − decay is an ideal process to study the Ω(2012) resonance. With the final-state interaction described in the chiral unitary approach, up to an arbitrary normalization, the invariant mass distributions of the final state are calculated, assuming that the Ω(2012) resonance with spin-parity J P = 3/2 − is a dynamically generated state from the coupled channels interactions of the KΞ * (1530) and ηΩ in s-wave and KΞ in d-wave. We also calculate the ratio,The proposed mechanism can provide valuable information on the nature of the Ω(2012) and can in principle be tested by future experiments.