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.

arXiv comment11 pages,4 figures

References in corpus (54)

• Weak Decays Beyond Leading Logarithms
• The light baryon spectrum in a relativistic quark model with instanton-induced quark forces I. The non-strange baryon spectrum and ground-states
• Algebraic Models of Hadron Structure II. Strange Baryons
• QCD with Two Light Dynamical Chirally Improved Quarks: Baryons
• Strong and radiative decays of the low-lying $S$- and $P$-wave singly heavy baryons
• Nonleptonic Weak Decays of Bottom Baryons
• Charmed baryon strong decays in a chiral quark model
• Charmed Baryon Physics Circa 2021
• Distinguishing Among Strong Decay Models
• Semileptonic Decays of Heavy Lambda Baryons in a Quark Model
• Strange and nonstrange baryon spectra in the relativistic interacting quark-diquark model with a Gürsey and Radicati-inspired exchange interaction
• Xi and Omega baryons in the Skyrme model
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• Strange baryon spectroscopy in the relativistic quark model
• Study of Ω_c^0 and Ω_c^{*0} Baryons at Belle
• Strong and radiative decays of the low-lying $D$-wave singly heavy baryons
• Observation of an excited ${\Omega }^{-}$ baryon
• Nonleptonic two-body decays of single heavy baryons ${\Lambda }_Q$, ${\Xi }_Q$, and ${\Omega }_Q$ $(Q=b,c)$ induced by $W$ emission in the covariant confined quark model
• $\Xi$ baryon strong decays in a chiral quark model
• $\Omega$ baryon spectrum and their decays in a constituent quark model
• Strong decays of baryons and missing resonances
• The $\Omega (2012)$ as a hadronic molecule
• Coupled channels dynamics in the generation of the $\Omega (2012)$ resonance
• A possible interpretation of the newly observed $\Omega (2012)$ state
• Hadronic molecular assignment for the newly observed ${\Omega }^{\ast }$ state
• Interpretation of the newly discovered $\Omega$(2012)
• Strong decay modes $\bar{K}\Xi$ and $\bar{K}\Xi \pi$ of the $\Omega (2012)$ in the $\bar{K}\Xi (1530)$ and $\eta \Omega$ molecular scenario
• Charmed ${\Omega }_c$ weak decays into $\Omega$ in the light-front quark model
• Molecular picture for the $\Omega (2012)$ revisited
• Revisiting the $\Omega (2012)$ as a hadronic molecule and its strong decays
• Mixing of the low-lying three- and five-quark $\Omega$ states with negative parity
• Nature of the $\Omega$(2012) through its strong decays
• $\Omega (2012)$ through the looking glass of flavour SU(3)
• Light flavor baryon spectrum with higher order hyperfine interactions
• Low-lying $\Omega$ states with negative parity in an extended quark model with Nambu-Jona-Lasinio interaction
• Theoretical study of the $\Omega (2012)$ state in the ${\Omega }_c^0\to {\pi }^{+}\Omega (2012{)}^{-}\to {\pi }^{+}(\bar{K}\Xi {)}^{-}$ and ${\pi }^{+}(\bar{K}\Xi \pi {)}^{-}$ decays
• Semileptonic Decays of Heavy Omega Baryons in a Quark Model
• Production and Decay of Omega_c^0
• Spectroscopic Study of Strangeness=-3 ${\Omega }^{-}$ Baryon
• Study of heavy quark conserving weak decays in the quark model
• Newly observed $\Omega (2012)$ state and strong decays of the low-lying $\Omega$ excitations
• Spectrum of low-lying $s^{3}Q\bar{Q}$ configurations with negative parity
• Hadronic weak decays of ${\Lambda }_c$ in the quark model
• 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
• Search for the ${\Sigma }^{\ast }$ state in ${\Lambda }_c^{+}\to {\pi }^{+}{\pi }^0{\pi }^{-}{\Sigma }^{+}$ decay by triangle singularity
• Observation of the ${\Omega }_c^0$ Charmed Baryon at CLEO
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
• Spectrum and Bethe-Salpeter amplitudes of $\Omega$ baryons from lattice QCD
• Measurement of the ${\Omega }_c^0$ Lifetime
• Measurement of Branching Fractions of Hadronic Decays of the ${\Omega }_c^0$ Baryon
• Hyperon Weak Radiative Decay
• The three-pion decays of the $a_1(1260)$
• Role of the $f_1(1285)$ state in the $J/\psi \to \varphi \bar{K}{K}^{\ast }$ and $J/\psi \to \varphi f_1(1285)$ decays
• Physics Opportunities with a Secondary K0_L Beam at JLab

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