Interpretation of the $\Omega_c \to \pi^+ \Omega(2012) \to \pi^+(\bar{K} \Xi)$ relative to $\Omega_c \to \pi^+\bar{K} \Xi$ from the $\Omega(2012)$ molecular perspective

TL;DR

This paper proposes a molecular model for the $\Omega_c o \pi^+ \Omega(2012) o \pi^+ (ar{K} \Xi)$ decay, explaining experimental data and predicting related decay channels within a unified framework.

Contribution

It introduces a molecular perspective for the $\Omega(2012)$ resonance and connects various decay channels of $\Omega_c$ within this model, consistent with Belle data.

Findings

The model reproduces Belle data for $\Omega_c$ decays.

Decay channels account for 12-20 extbackslash extpercent of total decay rate.

Combined channels explain about 85 extbackslash extpercent of the decay rate.

Abstract

We present a mechanism for $\Omega_c \to \pi^+ \Omega(2012)$ production through an external emission Cabibbo favored weak decay mode, where the $\Omega(2012)$ is dynamically generated from the interaction of $\bar{K}\Xi^*(1530)$, $\eta\Omega$, with $\bar{K}\Xi$ as the main decay channel. The $\Omega(2012)$ decays later to $\bar{K}\Xi$ in this picture, with results compatible with Belle data. The picture has as a consequence that one can evaluate the direct decay $\Omega_c^0 \to \pi^+K^- \Xi^0$ and the decay $\Omega_c^0 \to \pi^+\bar{K} \Xi^*$, $\pi^+\eta\Omega$ with direct coupling of $\bar{K}\Xi^*$ and $\eta\Omega$ to $K^- \Xi^0$. 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 $\Omega_c \to \pi^+K^- \Xi^0$ decay rate. The consistency of the molecular picture with all the data is established by showing that $\Omega_c \to \Xi^0 \bar{K}^{*0} \to \Xi^0K^- \pi^+$ together with $\Omega_c \to \pi^+ \Omega^* \to \pi^+K^- \Xi^0 $ account for about 85\% of the total $\Omega_c \to \pi^+K^- \Xi^0 $.