Excited $\Omega$ hyperon in charmful ${\Omega }_b$ weak decays

Abstract

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

Comments: 8 pages, 3 figures