Excited $\hat{I}\text{c◯}$ hyperon in charmful $\hat{I}{\text{c◯}}_b$ weak decays

Abstract

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

8 pages, 3 figures