Toward discovering the excited $\Omega$ baryons through nonleptonic weak decays of ${\Omega }_c$

Abstract

The nonleptonic weak decay processes ${\Omega }_c\to \Omega {\pi }^{+}/\Omega (1P){\pi }^{+}/\Omega (1D){\pi }^{+}/\Omega (2S){\pi }^{+}$ are studied using the constituent quark model. The branching fraction of ${\Omega }_c\to \Omega {\pi }^{+}$ is predicted to be $1.0\%$. Considering the newly observed $\Omega (2012)$ resonance as a conventional $1P$-wave $\Omega$ excite state with spin-parity $J^P=3/2^{-}$, the newly measured ratio $\mathcal{B}[{\Omega }_c\to \Omega (2012){\pi }^{+}\to (\Xi \bar{K}{)}^{-}{\pi }^{+}]/\mathcal{B}[{\Omega }_c\to \Omega {\pi }^{+}]$ at Belle can be well understood. Besides, the production rates for the missing $1P-$wave state $\Omega (1^2{P}_{1/2^{-}})$, two spin quartet $1D-$wave states $\Omega (1^4{D}_{1/2^{+}})$ and $\Omega (1^4{D}_{3/2^{+}})$, and two $2S$-wave states $\Omega (2^2{S}_{1/2^{+}})$ and $\Omega (2^4{S}_{3/2^{+}})$ are also investigated. It is expected that these missing excited $\Omega$ baryons should have large potentials to be discovered through the nonleptonic weak decays of ${\Omega }_c$ in forthcoming experiments by Belle II and/or LHCb.

11 pages,4 figures

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Cited by in corpus (9)

• Further understanding the nature of $\Omega (2012)$ within a chiral quark model
• First measurement of ${\mathrm{\Omega }}_{\mathrm{c}}^0$ production in pp collisions at $\sqrt{s}=13$ TeV
• Towards the understanding of heavy quarks hadronization: from leptonic to heavy-ion collisions
• Structure of the ${\Omega }^{-}(2012)$ with Hamiltonian Effective Field Theory
• Topological $SU(3{)}_f$ approach for two-body ${\Omega }_c$ weak decays
• Measurement of ${\Omega }_{\mathrm{c}}^0$ baryon production and branching-fraction ratio $\mathrm{BR}({\mathrm{\Omega }}_{\mathrm{c}}^0\to {\mathrm{\Omega }}^{-}{\mathrm{e}}^{+}{\nu }_{\mathrm{e}})/\mathrm{BR}({\mathrm{\Omega }}_{\mathrm{c}}^0\to {\mathrm{\Omega }}^{-}{\pi }^{+})$ in pp collisions at $\sqrt{s}$ = 13 TeV
• Observation of the $\Omega$(2012) baryon at the LHC
• Charmful two-body ${\Omega }_b$ decays in the light-front quark model
• Radiative decays of the $\Omega (2012)$ as a hadronic molecule