Identifying triple-strangeness $\Omega$ hyperons in light of recent experimental results

Abstract

In this work, we systematically calculate the mass spectra and decay widths of $\Omega$ baryons with $N\le 3$, where $N=2n_{\rho }+2n_{\lambda }+l_{\rho }+l_{\lambda }$ is the shell of the three-body harmonic oscillator. In our scheme, the newly observed $\Omega (2109)$ is identified as a $N=2$ candidate, with its quantum numbers tentatively assigned as $\Omega (2S,3/2^{+})$. However, the experimentally measured mass exhibits a deviation of approximately 50 MeV below the theoretical predictions. The possible reason for this deviation, along with the suggestion for experiments, are discussed in this paper. Additionally, we give possible assignments of $\Omega (2012{)}^{-}$, $\Omega (2250{)}^{-}$, $\Omega (2380{)}^{-}$, and $\Omega (2470{)}^{-}$. Furthermore, we calculate the masses and widths of other missing $\Omega$ states, which could provide valuable clues for experimental searches aimed at discovering these states.

arXiv comment11 pages, 1 figure, 7 tables, published in Phys. Rev. D

References in corpus (32)

• Strong decays of charmed baryons
• Low-lying charmed and charmed-strange baryon states
• Strangeness -2 and -3 Baryons in a Constituent Quark Model
• Strange baryon spectroscopy in the relativistic quark model
• New ${\Omega }_c^0$ baryons discovered by LHCb as the members of $1P$ and $2S$ states
• B_{s1}(5830) and B_{s2}^*(5840)
• Role of newly discovered ${\Xi }_b(6227{)}^{-}$ for constructing excited bottom baryon family
• QCD and the Strange Baryon Spectrum
• Categorizing resonances X(1835), X(2120) and X(2370) in the pseudoscalar meson family
• Observation of an excited ${\Omega }^{-}$ baryon
• Hadronic decay properties of newly observed ${\Omega }_c$ baryons
• $\Omega$ baryon spectrum and their decays in a constituent quark model
• Resolving the low mass puzzle of ${\Lambda }_c(2940{)}^{+}$
• 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
• Strong decay of ${\Lambda }_c(2940)$ as a $2P$ state in the ${\Lambda }_c$ family
• Search for $\Omega (2012)\to K\Xi (1530)\to K\pi \Xi$ at Belle
• Molecular picture for the $\Omega (2012)$ revisited
• Nature of the $\Omega$(2012) through its strong decays
• Light flavor baryon spectrum with higher order hyperfine interactions
• Newly observed $\Omega (2012)$ state and strong decays of the low-lying $\Omega$ excitations
• Strong decays of the hadronic molecule ${\Omega }^{\ast }(2012)$
• The newly observed ${\Omega }_c(3327)$: A good candidate for a $D$-wave charmed baryon
• Investigating the spectroscopy behavior of undetected $1F$-wave charmed baryons
• Further understanding the nature of $\Omega (2012)$ within a chiral quark model
• 70 Years of Hyperon Spectroscopy: A review of strange $\Xi$, $\Omega$ baryons, and the spectrum of charmed and bottom baryons
• Observation of $\Omega (2012{)}^{-}\to \Xi (1530)\bar{K}$ and measurement of the effective couplings of $\Omega (2012{)}^{-}$ to $\Xi (1530)\bar{K}$ and $\Xi \bar{K}$
• Evidence for Two Excited ${\Omega }^{-}$ Hyperons

Cited by in corpus (4)

• Triply heavy baryon spectroscopy revisited
• Structure of the ${\Omega }^{-}(2012)$ with Hamiltonian Effective Field Theory
• Radiative decays of the $\Omega (2012)$ as a hadronic molecule
• Assessing the validity of the Born-Oppenheimer approximation in potential models for doubly heavy hadrons