Excited $\Omega$ hyperon in charmful $\Omega_b$ weak decays

TL;DR

This paper studies the decay processes of the $ ext{Omega}_b$ baryon into excited $ ext{Omega}$ hyperons using a constituent quark model, predicting significant branching ratios for certain excited states that are experimentally accessible.

Contribution

It provides theoretical predictions for decay rates of $ ext{Omega}_b$ into various excited $ ext{Omega}$ states, including identification of the $ ext{Omega}(2012)$ as a specific excited state.

Findings

Predicted branching ratio for $ ext{Omega}_b o J/\psi ext{Omega}$ is $8.8 imes 10^{-4}$.

Significant production rates for excited $ ext{Omega}$ states, e.g., $ ext{Omega}(2012)$ and D-wave states.

Some decay channels have branching ratios as large as $20 imes 10^{-4}$, accessible at LHCb.

Abstract

We investigate the sextet $b$-baryon decay processes $\Omega_b\to J/\psi\Omega^{(*)}$,where $\Omega^*$ represents the $1P$-, $1D$- and $2S$-wave excited $\Omega$ hyperons in the spectroscopy. Using the constituent quark model, we obtain ${\cal B}(\Omega_b \to J/\psi\Omega)=8.8\times 10^{-4}$, which agrees with the previous studies to the order of magnitude. By identifying $\Omega(2012)$ as $\Omega(1^2P_{3/2^-})$, ${\cal B}(\Omega_b \to J/\psi\Omega(2012))=1.1\times 10^{-3}$ can be similarly significant. Additionally, $\Omega(1^2D_{5/2^+})$ and $\Omega(1^4D_{3/2^+},1^4D_{5/2^+})$ states exhibit production rates of 0.5, and (0.6, 0.8), respectively, relative to their ground-state counterpart. Notably, our findings suggest that ${\cal B}(\Omega_b\to J/\psi\Omega(2^2S_{1/2^+},2^4S_{3/2^+}))$ are as large as $(4.5,20)\times 10^{-4}$, making them accessible to experiments at LHCb.