Spectrum and Bethe-Salpeter amplitudes of Ω baryons from lattice QCD

Liang, Jian; Sun, Wei; Chen, Ying; Qiu, Weifeng; Gong, Ming; Liu, Chuan; Liu, Yubin; Li, Zhaofeng; Ma, Jin; Zhang, Jianbo

doi:10.1088/1674-1137/40/4/041001

Cited by 12 publications

(10 citation statements)

References 19 publications

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“…To identify the spectrum of the Ω states, the first orbital excitation of the Ωð1672Þ state was investigated with different models. 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. This may be taken as support for Ωð2012Þ being an orbital excitation of Ωð1672Þ.…”

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confidence: 62%

Interpretation of the newly discovered Ω(2012)

et al. 2018

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The theoretical calculations of different parameters of hadrons and comparison of the obtained results with existing experimental data not only test our present knowledge on these states but also provide insights into the search for new states. Despite the fact that, in the hadronic sector, many particles have been observed and their properties intensively studied, there is still much work to do. Even for the hadrons containing only the light quarks, their excited states require more investigation. The quark model predicts some baryonic excited states that have not yet been observed in the experiment. Searching for these missing baryon resonances attracts attention of not only the experimentalists but also the theoreticians. To understand and identify such states, it is necessary to broaden the studies on these baryons.As a result of these circumstances, the recent observation of the Belle Collaboration has attracted much attention. They reported observation of Ωð2012Þ with mass 2012.4 AE 0.7ðstatÞ AE 0.6ðsystÞ MeV and width 6.4 þ2.5 −2.0 ðstatÞ AE 1.6ðsystÞ MeV [1] with a conclusion that it has more likely a spin-parity J P ¼ 3=2 − . To date, there are a few Ω baryons listed in the Particle Data Group (PDG) [2]. Only one of them, which is the ground state Ωð1672Þ, is well established; we lack certain knowledge of the nature of the others. To identify the spectrum of the Ω states, the first orbital excitation of the Ωð1672Þ state was investigated with different models. 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. This may be taken as support for Ωð2012Þ being an orbital excitation of Ωð1672Þ. To identify the properties of the Ωð2012Þ baryon, it would also be helpful to investigate its other properties besides the mass. Its strong decay was studied recently in [15], using the chiral quark model, and as a result, the possibility of Ωð2012Þ being J P ¼ 3=2 − was underlined; however, it also stated that the results obtained for the possibility of it being J P ¼ 1=2 − or J P ¼ 3=2 þ are consistent with the results of the Belle Collaboration within the uncertainties. There are also some studies on the radiative decays [16] and magnetic moments of negative parity baryons [17,18].References [3,19] present the predictions on the mass of radially excited decuplet baryons. The prediction of [3] for the 2S state is 2065 MeV and it is close to the mass of Ωð2012Þ. On the other hand, the prediction given by Ref. [19] is 2176 AE 219 MeV obtained using the QCD sum rule method. If we consider the central value of this result, it is larger than the observed mass of Ωð2012Þ. Therefore, in order to get new information about the identification of the nature of Ωð2012Þ, it is necessary to investigate the mass of the orbital excitation of Ωð1672Þ, which we represent as an excited Ω state in the remaining part of the discussion. Taking this motivati...

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confidence: 62%

Interpretation of the newly discovered Ω(2012)

et al. 2018

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“…Before 2018, except for the ground state Ω(1672) only three Ω resonances Ω(2250), Ω(2380) and Ω(2470) were listed in the Review of Particle Physics (RPP) [2]. Due to the slow development in experiments, most of the theoretical studies are limited in the calculations of the mass spectrum of the Ω baryon with various methods, such as the Skyrme model [3], the relativistic quark models [4][5][6], the nonrelativistic quark model [7][8][9][10][11][12], the lattice gauge theory [13,14], and so on.…”

Section: Introductionmentioning

confidence: 99%

Ω baryon spectrum and their decays in a constituent quark model

et al. 2020

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Combining the recent developments of the observations of Ω sates we calculate the Ω spectrum up to the N = 2 shell within a nonrelativistic constituent quark potential model. Furthermore, the strong and radiative decay properties for the Ω 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 Ω(2012) resonance is most likely to be the spin-parity J P = 3/2 − 1P-wave state Ω(1 2 P 3/2 − ), it also has a large potential to be observed in the Ω(1672)γ channel. Our calculation shows that the 1P-, 1D-, and 2S -wave Ω 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 Ω resonances via the strong and/or radiative decay processes.

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“…In various models and methods, such as the Skyrme model [3], quark model [4][5][6][7][8][9][10][11][12][13], lattice gauge theory [14,15] and so on [16][17][18][19][20][21], the masses of the first orbital excitations of Ωð1672Þ are predicted to be ∼2.0 GeV. Thus, the newly observed Ωð2012Þ may be a good candidate for the first orbital (1P) excitations of Ωð1672Þ.…”

Section: Introductionmentioning

confidence: 99%

Possible interpretation of the newly observed Ω(2012) state

Xiao

Zhong

2018

Phys. Rev. D

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Inspired by the newly observed Ωð2012Þ state at Belle II, we investigate the two-body strong decays of Ω baryons up to N ¼ 2 shell within the chiral quark model. Our results indicate that (i) the newly observed Ωð2012Þ state could be assigned to the spin-parity J P ¼ 3=2 − state j70; 2 10; 1; 1; 3 2 − i and the experimental data can be reasonably described. However, the spin-parity J P ¼ 1=2 − state j70; 2 10; 1; 1; 1 2 − i and spin-parity J P ¼ 3=2 þ state j56; 4 10; 2; 0; 3 2 þ i cannot be completely excluded.(ii) The D-wave states in the N ¼ 2 shell are most likely to be narrow states with a width of dozens of MeV and have a good potential to be observed in the ΞK and/or Ξð1530ÞK channels in future experiments. The Ωð2250Þ resonance listed in PDG may be a good candidate for the J P ¼ 5=2 þ 1D wave state j56; 4 10; 2; 2; 5=2 þ i.

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Spectrum and Bethe-Salpeter amplitudes of Ω baryons from lattice QCD

Cited by 12 publications

References 19 publications

Interpretation of the newly discovered Ω(2012)

Interpretation of the newly discovered Ω(2012)

Ω baryon spectrum and their decays in a constituent quark model

Possible interpretation of the newly observed Ω(2012) state

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