Ω baryon spectrum and their decays in a constituent quark model

Ming-Sheng Liu (Department of Physics, Hunan Normal University, Changsha 410081, China; Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Changsha 410081,China; Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Changsha 410081, China) ; Kai-Lei Wang (Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Changsha 410081,China; Department of Electronic Information and Physics, Changzhi University, Changzhi, Shanxi 046011, China) ; Qi-Fang Lü (Department of Physics, Hunan Normal University, Changsha 410081, China; Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Changsha 410081,China; Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Changsha 410081, China) ; Xian-Hui Zhong (Department of Physics, Hunan Normal University, Changsha 410081, China; Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Changsha 410081,China; Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Changsha 410081, China)

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 JP=3/2 1P-wave state Ω(12P3/2), 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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      "raw_name": "Xian-Hui Zhong", 
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      "title": "<math><mi>\u03a9</mi></math> baryon spectrum and their decays in a constituent quark model"
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  "abstracts": [
    {
      "source": "APS", 
      "value": "Combining the recent developments of the observations of <math><mi>\u03a9</mi></math> sates we calculate the <math><mi>\u03a9</mi></math> spectrum up to the <math><mi>N</mi><mo>=</mo><mn>2</mn></math> shell within a nonrelativistic constituent quark potential model. Furthermore, the strong and radiative decay properties for the <math><mi>\u03a9</mi></math> resonances within the <math><mi>N</mi><mo>=</mo><mn>2</mn></math> shell are evaluated by using the masses and wave functions obtained from the potential model. It is found that the newly observed <math><mi>\u03a9</mi><mo>(</mo><mn>2012</mn><mo>)</mo></math> resonance is most likely to be the spin-parity <math><msup><mi>J</mi><mi>P</mi></msup><mo>=</mo><mn>3</mn><mo>/</mo><msup><mn>2</mn><mo>\u2212</mo></msup></math> <math><mn>1</mn><mi>P</mi></math>-wave state <math><mrow><mi>\u03a9</mi><mo>(</mo><msup><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></msup><msub><mrow><mi>P</mi></mrow><mrow><mn>3</mn><mo>/</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>\u2212</mo></mrow></msup></mrow></msub><mo>)</mo></mrow></math>, it also has a large potential to be observed in the <math><mi>\u03a9</mi><mo>(</mo><mn>1672</mn><mo>)</mo><mi>\u03b3</mi></math> channel. Our calculation shows that the <math><mn>1</mn><mi>P</mi></math>-, <math><mn>1</mn><mi>D</mi></math>-, and <math><mn>2</mn><mi>S</mi></math>-wave <math><mi>\u03a9</mi></math> 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 <math><mi>\u03a9</mi></math> resonances via the strong and/or radiative decay processes."
    }
  ], 
  "imprints": [
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      "date": "2020-01-02", 
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Published on:
02 January 2020
Publisher:
APS
Published in:
Physical Review D , Volume 101 (2020)
Issue 1
DOI:
https://doi.org/10.1103/PhysRevD.101.016002
arXiv:
1910.10322
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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