The strong coupling Of (4700)→ / In the Light-cone sum Rules

Yiling Xie (Institute of Theoretical Physics, School of Physics, Dalian University of Technology, No. 2 Linggong Road, Dalian, People's Republic of China) ; Dazhuang He (Institute of Theoretical Physics, School of Physics, Dalian University of Technology, No. 2 Linggong Road, Dalian, People's Republic of China) ; Xuan Luo (School of Physics and Optoelectronics Engineering, Anhui University, Hefei, People's Republic of China) ; Hao Sun (Institute of Theoretical Physics, School of Physics, Dalian University of Technology, No. 2 Linggong Road, Dalian, People's Republic of China)

We assign the scalar tetraquark and the D-wave tetraquark state for X(4700) and calculate the width of the decay X(4700) J/ψϕ within the framework of light-cone sum rules. The strong coupling gXJ/ψϕ is obtained by considering the technique of soft-meson approximation. We also investigate the mass and the decay constant of X(4700) in the framework of SVZ sum rules. Our prediction for the mass is in agreement with the experimental measurement. For the decay width of X(4700)J/ψϕ, if we assigns X(4700) as a scalar csc¯s¯ tetraquark state, we obtain Γ=(10924+35) MeV. On the contrary, if X(4700) is assigned as a D-wave tetraquark state, we obtain Γ=(17.14.0+6.2) MeV which is much smaller than the scalar one.

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      "surname": "Xie", 
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      "full_name": "Xie, Yiling", 
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      "surname": "He", 
      "email": "dzhe@mail.dlut.edu.cn", 
      "full_name": "He, Dazhuang", 
      "given_names": "Dazhuang"
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      "surname": "Luo", 
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      "full_name": "Sun, Hao", 
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      "email": "haosun@dlut.edu.cn"
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      "source": "Elsevier", 
      "title": "The strong coupling Of (4700)\u2192 / In the Light-cone sum Rules"
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      "value": "We assign the scalar tetraquark and the D-wave tetraquark state for <math><mi>X</mi><mo>(</mo><mn>4700</mn><mo>)</mo></math> and calculate the width of the decay <math><mi>X</mi><mo>(</mo><mn>4700</mn><mo>)</mo></math> <math><mo>\u2192</mo><mi>J</mi><mo>/</mo><mi>\u03c8</mi><mi>\u03d5</mi></math> within the framework of light-cone sum rules. The strong coupling <math><msub><mrow><mi>g</mi></mrow><mrow><mi>X</mi><mi>J</mi><mo>/</mo><mi>\u03c8</mi><mi>\u03d5</mi></mrow></msub></math> is obtained by considering the technique of soft-meson approximation. We also investigate the mass and the decay constant of <math><mi>X</mi><mo>(</mo><mn>4700</mn><mo>)</mo></math> in the framework of SVZ sum rules. Our prediction for the mass is in agreement with the experimental measurement. For the decay width of <math><mi>X</mi><mo>(</mo><mn>4700</mn><mo>)</mo><mo>\u2192</mo><mi>J</mi><mo>/</mo><mi>\u03c8</mi><mi>\u03d5</mi></math>, if we assigns X(4700) as a scalar <math><mi>c</mi><mi>s</mi><mover><mrow><mi>c</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mover><mrow><mi>s</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></math> tetraquark state, we obtain <math><mi>\u0393</mi><mo>=</mo><mo>(</mo><msubsup><mrow><mn>109</mn></mrow><mrow><mo>\u2212</mo><mn>24</mn></mrow><mrow><mo>+</mo><mn>35</mn></mrow></msubsup><mo>)</mo></math> MeV. On the contrary, if X(4700) is assigned as a D-wave tetraquark state, we obtain <math><mi>\u0393</mi><mo>=</mo><mo>(</mo><msubsup><mrow><mn>17.1</mn></mrow><mrow><mo>\u2212</mo><mn>4.0</mn></mrow><mrow><mo>+</mo><mn>6.2</mn></mrow></msubsup><mo>)</mo></math> MeV which is much smaller than the scalar one."
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Published on:
24 January 2024
Publisher:
Elsevier
Published in:
Nuclear Physics B , Volume 987 C (2024)

Article ID: 116113
DOI:
https://doi.org/10.1016/j.nuclphysb.2023.116113
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: