$\Omega$ baryon spectrum and their decays in a constituent quark model

Abstract

Combining the recent developments of the observations of $\Omega$ sates we calculate the $\Omega$ spectrum up to the $N=2$ shell within a nonrelativistic constituent quark potential model. Furthermore, the strong and radiative decay properties for the $\Omega$ resonances within the $N=2$ shell are evaluated by using the masses and wave functions obtained from the potential model. It is found that the newly observed $\Omega (2012)$ resonance is most likely to be the spin-parity $J^P=3/2^{-}$ $1P$-wave state $\Omega (1^2{P}_{3/2^{-}})$, it also has a large potential to be observed in the $\Omega (1672)\gamma$ channel. Our calculation shows that the 1$P$-, 1$D$-, and 2$S$-wave $\Omega$ baryons have a relatively narrow decay width of less than 50 MeV. Based on the obtained decay properties and mass spectrum, we further suggest optimum channels and mass regions to find the missing $\Omega$ resonances via the strong and/or radiative decay processes.

arXiv comment12 pages, 1 figure

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• Triply charmed and bottom baryons in a constituent quark model
• Fully-strange tetraquark $ss\bar{s}\bar{s}$ spectrum and possible experimental evidence
• Mass spectrum and strong decays of strangeonium in a constituent quark model
• Mass spectra and strong decays of charmed and charmed-strange mesons
• Molecular picture for the $\Omega (2012)$ revisited
• Revisiting the $\Omega (2012)$ as a hadronic molecule and its strong decays
• 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
• Toward discovering the excited $\Omega$ baryons through nonleptonic weak decays of ${\Omega }_c$
• Possible interpretation of the newly observed ${\Omega }_b$ states
• Towards establishing an abundant $B$ and $B_s$ spectrum up to the second orbital excitations
• Spectroscopic Study of Strangeness=-3 ${\Omega }^{-}$ Baryon
• 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
• Can $\Omega (2012)$ be explained as a molecular state?
• Strong decays of the hadronic molecule ${\Omega }^{\ast }(2012)$
• Understanding the nature of $\Omega (2012)$ in a coupled-channel approach
• Further understanding the nature of $\Omega (2012)$ within a chiral quark model
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
• Identifying triple-strangeness $\Omega$ hyperons in light of recent experimental results
• Evidence for Two Excited ${\Omega }^{-}$ Hyperons
• Toward establishing the low-lying $P$-wave excited ${\Sigma }_c$ baryon states
• Structure of the ${\Omega }^{-}(2012)$ with Hamiltonian Effective Field Theory
• Observation of the $\Omega$(2012) baryon at the LHC
• Measurement of the mass difference and relative production rate of the ${\Omega }_b^{-}$ and ${\Xi }_b^{-}$ baryons
• Radiative decays of the $\Omega (2012)$ as a hadronic molecule
• Systematic investigation of trace anomaly contribution in nucleon mass
• Understanding the 1P- and 2S-wave nucleon resonances within the extended Lee-Friedrichs Model