Further study of Within a Chiral Quark Model

Hui-Hua Zhong (Department of Physics, Hunan Normal University, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, China; Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Hunan Normal University, China) ; Ru-Hui Ni (Department of Physics, Hunan Normal University, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, China; Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Hunan Normal University, China) ; Mu-Yang Chen (Department of Physics, Hunan Normal University, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, China; Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Hunan Normal University, China) ; Xian-Hui Zhong (Department of Physics, Hunan Normal University, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, China; Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Hunan Normal University, China) ; Ju-Jun Xie (Institute of Modern Physics, Chinese Academy of Sciences, China; School of Nuclear Science and Technology, University of Chinese Academy of Sciences, China)

In our previous studies, we analyzed the two-body strong decays of the low-lying Ω baryon states within a chiral quark model. The results showed that the mass, total width, and two body decay $ \Omega(2012) \to \bar{K}\Xi $ could be well reproduced with the spin-parity $ \Omega(2012) \to \bar{K}\Xi $ state $ \Omega(2012) \to \bar{K}\Xi $ classified in the quark model. Stimulated by the new observations of the three-body decay process $ \Omega(2012) \to \bar{K}\Xi $ at Belle, in the present study, we further investigate the three-body strong decay $ \Omega(2012) \to \bar{K}\Xi $ within the chiral quark model. It is found that the $ \Omega(2012) \to \bar{K}\Xi $ has a sizeable decay rate into the three-body final states $ \Omega(2012) \to \bar{K}\Xi $ . When considering $ \Omega(2012) \to \bar{K}\Xi $ as the $ \Omega(2012) \to \bar{K}\Xi $ resonance, the predicted ratio $ \Omega(2012) \to \bar{K}\Xi $ $ \Omega(2012) \to \bar{K}\Xi $ is close to the upper limit $ \Omega(2012) \to \bar{K}\Xi $ measured by the Belle Collaboration in 2019; however, it is too small to be comparable to the recent measurement $ \Omega(2012) \to \bar{K}\Xi $ . In addition, the coupled-channel effects on the bare three-quark state $ \Omega(2012) \to \bar{K}\Xi $ from nearby channels $ \Omega(2012) \to \bar{K}\Xi $ , $ \Omega(2012) \to \bar{K}\Xi $ , and $ \Omega(2012) \to \bar{K}\Xi $ are studied. Our theoretical results show that the coupled-channel effects on $ \Omega(2012) \to \bar{K}\Xi $ are not very large, and the molecular component is no more than $ \Omega(2012) \to \bar{K}\Xi $ . To clarify the nature of $ \Omega(2012) \to \bar{K}\Xi $ resonance, precise measurements on the ratio $ \Omega(2012) \to \bar{K}\Xi $ are needed, and further investigation on the effects of coupled channels is recommended.

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        {
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          "value": "Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Hunan Normal University, China"
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      "surname": "Ni", 
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      "surname": "Zhong", 
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      "source": "IOP", 
      "value": "In our previous studies, we analyzed the two-body strong decays of the low-lying \u03a9 baryon states within a chiral quark model. The results showed that the mass, total width, and two body decay   $ \\Omega(2012) \\to \\bar{K}\\Xi $   could be well reproduced with the spin-parity   $ \\Omega(2012) \\to \\bar{K}\\Xi $   state   $ \\Omega(2012) \\to \\bar{K}\\Xi $   classified in the quark model. Stimulated by the new observations of the three-body decay process   $ \\Omega(2012) \\to \\bar{K}\\Xi $   at Belle, in the present study, we further investigate the three-body strong decay   $ \\Omega(2012) \\to \\bar{K}\\Xi $   within the chiral quark model. It is found that the   $ \\Omega(2012) \\to \\bar{K}\\Xi $   has a sizeable decay rate into the three-body final states   $ \\Omega(2012) \\to \\bar{K}\\Xi $  . When considering   $ \\Omega(2012) \\to \\bar{K}\\Xi $   as the   $ \\Omega(2012) \\to \\bar{K}\\Xi $   resonance, the predicted ratio   $ \\Omega(2012) \\to \\bar{K}\\Xi $     $ \\Omega(2012) \\to \\bar{K}\\Xi $   is close to the upper limit   $ \\Omega(2012) \\to \\bar{K}\\Xi $   measured by the Belle Collaboration in 2019; however, it is too small to be comparable to the recent measurement   $ \\Omega(2012) \\to \\bar{K}\\Xi $  . In addition, the coupled-channel effects on the bare three-quark state   $ \\Omega(2012) \\to \\bar{K}\\Xi $   from nearby channels   $ \\Omega(2012) \\to \\bar{K}\\Xi $  ,   $ \\Omega(2012) \\to \\bar{K}\\Xi $  , and   $ \\Omega(2012) \\to \\bar{K}\\Xi $   are studied. Our theoretical results show that the coupled-channel effects on   $ \\Omega(2012) \\to \\bar{K}\\Xi $   are not very large, and the molecular component is no more than   $ \\Omega(2012) \\to \\bar{K}\\Xi $  . To clarify the nature of   $ \\Omega(2012) \\to \\bar{K}\\Xi $   resonance, precise measurements on the ratio   $ \\Omega(2012) \\to \\bar{K}\\Xi $   are needed, and further investigation on the effects of coupled channels is recommended."
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Published on:
01 June 2023
Publisher:
IOP
Published in:
Chinese Physics C , Volume 47 (2023)
Issue 6
Article ID: 063104
DOI:
https://doi.org/10.1088/1674-1137/acc9a2
arXiv:
2209.09398
Copyrights:
© 2023 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd
Licence:
CC-BY-3.0

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