Exotic Qqq¯q¯ states in the chiral quark model

Yuheng Wu (Department of Physics, Yancheng Institute of Technology, Yancheng 224000, P. R. China) ; Ye Yan (Department of Physics, Nanjing Normal University, Nanjing, Jiangsu 210097, P. R. China) ; Yue Tan (Department of Physics, Yancheng Institute of Technology, Yancheng 224000, P. R. China) ; Hongxia Huang (Department of Physics, Nanjing Normal University, Nanjing, Jiangsu 210097, P. R. China) ; Jialun Ping (Department of Physics, Nanjing Normal University, Nanjing, Jiangsu 210097, P. R. China) ; et al. - Show all 6 authors

In the framework of the chiral quark model, we investigate the Qqq¯q¯ (Q=c, b and q=u, d) tetraquark system with two structures: Qq¯qq¯ and Qqq¯q¯. The bound-state calculation shows that for the single channel, there is no evidence for any bound state below the minimum threshold in both cqq¯q¯ and bqq¯q¯ systems. However, after coupling all channels of two structures, we obtain a bound state below the minimum threshold in the cqq¯q¯ system with the energy of 1998 MeV, and the quantum number is IJP=120+. Meanwhile, in the bqq¯q¯ system, two bound states with energies of 5414 MeV and 5456 MeV are obtained, and the quantum numbers are IJP=120+ and IJP=121+, respectively. Besides, we also employ the real-scaling method to search for resonance states in the cqq¯q¯ and bqq¯q¯ systems. Unfortunately, no genuine resonance states were obtained in both systems. We suggest future experiments to search for these three possible bound states.

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      "raw_name": "Yuheng Wu", 
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      "raw_name": "Ye Yan", 
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      "surname": "Yan", 
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      "raw_name": "Yue Tan", 
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      "surname": "Tan", 
      "given_names": "Yue", 
      "full_name": "Tan, Yue"
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    {
      "raw_name": "Hongxia Huang", 
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      "surname": "Huang", 
      "given_names": "Hongxia", 
      "full_name": "Huang, Hongxia"
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      "raw_name": "Jialun Ping", 
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      "surname": "Ping", 
      "given_names": "Jialun", 
      "full_name": "Ping, Jialun"
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    {
      "raw_name": "Xinmei Zhu", 
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          "value": "Department of Physics, Yangzhou University, Yangzhou 225009, P. R. China"
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      "surname": "Zhu", 
      "given_names": "Xinmei", 
      "full_name": "Zhu, Xinmei"
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      "title": "Exotic <math><mi>Q</mi><mi>q</mi><mover><mi>q</mi><mo>\u00af</mo></mover><mover><mi>q</mi><mo>\u00af</mo></mover></math> states in the chiral quark model"
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  "abstracts": [
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      "source": "APS", 
      "value": "In the framework of the chiral quark model, we investigate the <math><mi>Q</mi><mi>q</mi><mover><mi>q</mi><mo>\u00af</mo></mover><mover><mi>q</mi><mo>\u00af</mo></mover></math> (<math><mrow><mi>Q</mi><mo>=</mo><mi>c</mi></mrow></math>, <math><mrow><mi>b</mi></mrow></math> and <math><mrow><mi>q</mi><mo>=</mo><mi>u</mi></mrow></math>, <math><mrow><mi>d</mi></mrow></math>) tetraquark system with two structures: <math><mrow><mi>Q</mi><mover><mrow><mi>q</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mtext>\u2212</mtext><mi>q</mi><mover><mrow><mi>q</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> and <math><mi>Q</mi><mi>q</mi><mtext>\u2212</mtext><mover><mi>q</mi><mo>\u00af</mo></mover><mover><mi>q</mi><mo>\u00af</mo></mover></math>. The bound-state calculation shows that for the single channel, there is no evidence for any bound state below the minimum threshold in both <math><mi>c</mi><mi>q</mi><mover><mi>q</mi><mo>\u00af</mo></mover><mover><mi>q</mi><mo>\u00af</mo></mover></math> and <math><mi>b</mi><mi>q</mi><mover><mi>q</mi><mo>\u00af</mo></mover><mover><mi>q</mi><mo>\u00af</mo></mover></math> systems. However, after coupling all channels of two structures, we obtain a bound state below the minimum threshold in the <math><mi>c</mi><mi>q</mi><mover><mi>q</mi><mo>\u00af</mo></mover><mover><mi>q</mi><mo>\u00af</mo></mover></math> system with the energy of 1998 MeV, and the quantum number is <math><mi>I</mi><msup><mi>J</mi><mi>P</mi></msup><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><msup><mn>0</mn><mo>+</mo></msup></math>. Meanwhile, in the <math><mi>b</mi><mi>q</mi><mover><mi>q</mi><mo>\u00af</mo></mover><mover><mi>q</mi><mo>\u00af</mo></mover></math> system, two bound states with energies of 5414 MeV and 5456 MeV are obtained, and the quantum numbers are <math><mi>I</mi><msup><mi>J</mi><mi>P</mi></msup><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><msup><mn>0</mn><mo>+</mo></msup></math> and <math><mi>I</mi><msup><mi>J</mi><mi>P</mi></msup><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><msup><mn>1</mn><mo>+</mo></msup></math>, respectively. Besides, we also employ the real-scaling method to search for resonance states in the <math><mi>c</mi><mi>q</mi><mover><mi>q</mi><mo>\u00af</mo></mover><mover><mi>q</mi><mo>\u00af</mo></mover></math> and <math><mi>b</mi><mi>q</mi><mover><mi>q</mi><mo>\u00af</mo></mover><mover><mi>q</mi><mo>\u00af</mo></mover></math> systems. Unfortunately, no genuine resonance states were obtained in both systems. We suggest future experiments to search for these three possible bound states."
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Published on:
06 May 2024
Publisher:
APS
Published in:
Physical Review D , Volume 109 (2024)
Issue 9
DOI:
https://doi.org/10.1103/PhysRevD.109.096005
arXiv:
2311.12638
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: