Exotic tetraquark states with JPC=0+

Yi-Chao Fu (School of Physics, Sun Yat-Sen University, Guangzhou 510275, China) ; Zhuo-Ran Huang (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China) ; Zhu-Feng Zhang (Physics Department, Ningbo University, Ningbo, 315211, China) ; Wei Chen (School of Physics, Sun Yat-Sen University, Guangzhou 510275, China)

We use the Laplace/Borel sum rules (LSR) and the finite energy/local duality sum rules (FESR) to investigate the nonstrange udu¯d¯ and hidden-strange usu¯s¯ tetraquark states with exotic quantum numbers JPC=0+. We systematically construct all eight possible tetraquark currents in this channel without a covariant derivative operator. Our analyses show that the udu¯d¯ systems have good behavior of sum rule stability and expansion series convergence in both the LSR and FESR analyses, while the LSR for the usu¯s¯ states do not associate with convergent OPE series in the stability regions and only the FESR can provide valid results. We give the mass predictions 1.43±0.09 GeV and 1.54±0.12 GeV for the udu¯d¯ and usu¯s¯ tetraquark states, respectively. Our results indicate that the 0+ isovector usu¯s¯ tetraquark may only decay via weak interaction mechanism, e.g., Xusu¯s¯Kππ, since its strong decays are forbidden by kinematics and the symmetry constraints on the exotic quantum numbers. It is predicted to be very narrow, if it does exist. The 0+ isoscalar usu¯s¯ tetraquark is also predicted to be not very wide because its dominate decay mode Xusu¯s¯ϕππ is in P wave.

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      "title": "Exotic tetraquark states 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>\u2212</mo></mrow></msup></math>"
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  "abstracts": [
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      "source": "APS", 
      "value": "We use the Laplace/Borel sum rules (LSR) and the finite energy/local duality sum rules (FESR) to investigate the nonstrange <math><mi>u</mi><mi>d</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> and hidden-strange <math><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark states with exotic quantum numbers <math><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>0</mn><mrow><mo>+</mo><mo>\u2212</mo></mrow></msup></math>. We systematically construct all eight possible tetraquark currents in this channel without a covariant derivative operator. Our analyses show that the <math><mi>u</mi><mi>d</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> systems have good behavior of sum rule stability and expansion series convergence in both the LSR and FESR analyses, while the LSR for the <math><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> states do not associate with convergent OPE series in the stability regions and only the FESR can provide valid results. We give the mass predictions <math><mn>1.43</mn><mo>\u00b1</mo><mn>0.09</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math> and <math><mn>1.54</mn><mo>\u00b1</mo><mn>0.12</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math> for the <math><mi>u</mi><mi>d</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> and <math><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark states, respectively. Our results indicate that the <math><msup><mn>0</mn><mrow><mo>+</mo><mo>\u2212</mo></mrow></msup></math> isovector <math><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark may only decay via weak interaction mechanism, e.g., <math><msub><mi>X</mi><mrow><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></mrow></msub><mo>\u2192</mo><mi>K</mi><mi>\u03c0</mi><mi>\u03c0</mi></math>, since its strong decays are forbidden by kinematics and the symmetry constraints on the exotic quantum numbers. It is predicted to be very narrow, if it does exist. The <math><msup><mn>0</mn><mrow><mo>+</mo><mo>\u2212</mo></mrow></msup></math> isoscalar <math><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark is also predicted to be not very wide because its dominate decay mode <math><msub><mi>X</mi><mrow><mi>u</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></mrow></msub><mo>\u2192</mo><mi>\u03d5</mi><mi>\u03c0</mi><mi>\u03c0</mi></math> is in <math><mi>P</mi></math> wave."
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Published on:
16 January 2019
Publisher:
APS
Published in:
Physical Review D , Volume 99 (2019)
Issue 1
DOI:
https://doi.org/10.1103/PhysRevD.99.014025
arXiv:
1811.03333
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: