Abstract

Very recently Belle Collaboration reported observation of a narrow state called $\Omega(2012)$ with mass $2012.4 \pm 0.7$~(stat)~$\pm 0.6$(syst)~MeV and width $6.4^{+2.5}_{-2.0}$~(stat)~$\pm 1.6$~(syst)~MeV. We calculate the mass and residue of $\Omega(2012)$ state by employing the QCD sum rule method. Comparison of the obtained results with the experimental data allows us to interpret this state as $1P$ orbital excitation of the ground state $\Omega$ baryon, i.e. with quantum numbers $J^P=\frac{3}{2}^-$.

Highlights

  • 2012.4 Æ 0.7ðstatÞ Æ 0.6ðsystÞ MeV and width 6.4−þ22..05ðstatÞ Æ 1.6ðsystÞ MeV

  • There are a few Ω baryons listed in the Particle Data Group (PDG) [2]

  • The quark model [3,4,5,6,7,8,9,10,11], lattice gauge theory [12,13], and Skyrme model [14] are among those studies whose predictions gave mass values that are consistent with the experimental result of the Belle Collaboration

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Summary

Introduction

We calculate the mass and residue of the Ωð2012Þ state by employing the QCD sum rule method. The quark model predicts some baryonic excited states that have not yet been observed in the experiment. Taking this motivation in hand in the present study, we make a QCD sum rule calculation for the mass of the excited Ω state.

Results
Conclusion
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