Investigation of csc¯s¯ tetraquark in the chiral quark model

Yifan Yang (Department of Physics and Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023, People’s Republic of China) ; Jialun Ping (Department of Physics and Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023, People’s Republic of China)

Inspired by the recent observation of exotic resonances X(4140), X(4274), X(4350), X(4500), and X(4700) reported by several experiment collaborations, we investigated the four-quark system csc¯s¯ with quantum numbers JPC=1++ and 0++ in the framework of the chiral quark model. Two configurations, diquark-antidiquark and meson-meson, with all possible color structures are considered. The results show that no molecular state can be formed, but the resonance may exist if the color structure of the meson-meson configuration is 88. In the present calculation, the X(4274) can be assigned as the csc¯s¯ tetraquark states with JPC=1++, but the energy of X(4140) is too low to be regarded as the tetraquark state. X(4350) can be a good candidate of the compact tetraquark state with JPC=0++. When the radial excitation is taken into account, the X(4700) can be explained as the 2S radial excited tetraquark state with JPC=0++. As for X(4500), there is no matching state in our calculation.

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      "surname": "Ping", 
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      "full_name": "Ping, Jialun"
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      "source": "APS", 
      "title": "Investigation of <math><mi>c</mi><mi>s</mi><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark in the chiral quark model"
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  "abstracts": [
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      "source": "APS", 
      "value": "Inspired by the recent observation of exotic resonances <math><mi>X</mi><mo>(</mo><mn>4140</mn><mo>)</mo></math>, <math><mi>X</mi><mo>(</mo><mn>4274</mn><mo>)</mo></math>, <math><mi>X</mi><mo>(</mo><mn>4350</mn><mo>)</mo></math>, <math><mi>X</mi><mo>(</mo><mn>4500</mn><mo>)</mo></math>, and <math><mi>X</mi><mo>(</mo><mn>4700</mn><mo>)</mo></math> reported by several experiment collaborations, we investigated the four-quark system <math><mi>c</mi><mi>s</mi><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> with quantum numbers <math><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>1</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math> and <math><msup><mn>0</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math> in the framework of the chiral quark model. Two configurations, diquark-antidiquark and meson-meson, with all possible color structures are considered. The results show that no molecular state can be formed, but the resonance may exist if the color structure of the meson-meson configuration is <math><mn>8</mn><mo>\u2297</mo><mn>8</mn></math>. In the present calculation, the <math><mi>X</mi><mo>(</mo><mn>4274</mn><mo>)</mo></math> can be assigned as the <math><mi>c</mi><mi>s</mi><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark states with <math><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>1</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math>, but the energy of <math><mi>X</mi><mo>(</mo><mn>4140</mn><mo>)</mo></math> is too low to be regarded as the tetraquark state. <math><mi>X</mi><mo>(</mo><mn>4350</mn><mo>)</mo></math> can be a good candidate of the compact tetraquark state with <math><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>0</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math>. When the radial excitation is taken into account, the <math><mi>X</mi><mo>(</mo><mn>4700</mn><mo>)</mo></math> can be explained as the <math><mn>2</mn><mi>S</mi></math> radial excited tetraquark state with <math><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>0</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math>. As for <math><mi>X</mi><mo>(</mo><mn>4500</mn><mo>)</mo></math>, there is no matching state in our calculation."
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Published on:
23 May 2019
Publisher:
APS
Published in:
Physical Review D , Volume 99 (2019)
Issue 9
DOI:
https://doi.org/10.1103/PhysRevD.99.094032
arXiv:
1903.08505
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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