0+ tetraquark states from improved QCD sum rules: delving into X(5568)

  • In order to investigate the possibility of the recently observed X(5568) being a 0+ tetraquark state, we make an improvement to the study of the related various configuration states in the framework of the QCD sum rules. Particularly, to ensure the quality of the analysis, condensates up to dimension 12 are included to inspect the convergence of operator product expansion (OPE) and improve the final results of the studied states. We note that some condensate contributions could play an important role on the OPE side. By releasing the rigid OPE convergence criterion, we arrive at the numerical value 5.57-0.23+0.35 GeV for the scalar-scalar diquark-antidiquark 0+ state, which agrees with the experimental data for the X(5568) and could support its interpretation in terms of a 0+ tetraquark state with the scalar-scalar configuration. The corresponding result for the axial-axial current is calculated to be 5.77-0.33+0.44 GeV, which is still consistent with the mass of X(5568) in view of the uncertainty. The feasibility of X(5568) being a tetraquark state with the axial-axial configuration therefore cannot be definitely excluded. For the pseudoscalar-pseudoscalar and the vector-vector cases, their unsatisfactory OPE convergence make it difficult to find reasonable work windows to extract the hadronic information.
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Jian-Rong Zhang, Jing-Lan Zou and Jin-Yun Wu. 0+ tetraquark states from improved QCD sum rules: delving into X(5568)[J]. Chinese Physics C, 2018, 42(4): 043101. doi: 10.1088/1674-1137/42/4/043101
Jian-Rong Zhang, Jing-Lan Zou and Jin-Yun Wu. 0+ tetraquark states from improved QCD sum rules: delving into X(5568)[J]. Chinese Physics C, 2018, 42(4): 043101.  doi: 10.1088/1674-1137/42/4/043101 shu
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Received: 2017-10-30
Revised: 2018-01-02
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    Supported by National Natural Science Foundation of China (11475258, 11105223, 11675263) and the Project in NUDT for Excellent Youth Talents

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0+ tetraquark states from improved QCD sum rules: delving into X(5568)

    Corresponding author: Jian-Rong Zhang,
  • 1.  Department of Physics, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China
  • 2.  College of Optoelectronic Science and Engineering, National University of Defense Technology, Changsha 410073, China
  • 3.  College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China
Fund Project:  Supported by National Natural Science Foundation of China (11475258, 11105223, 11675263) and the Project in NUDT for Excellent Youth Talents

Abstract: In order to investigate the possibility of the recently observed X(5568) being a 0+ tetraquark state, we make an improvement to the study of the related various configuration states in the framework of the QCD sum rules. Particularly, to ensure the quality of the analysis, condensates up to dimension 12 are included to inspect the convergence of operator product expansion (OPE) and improve the final results of the studied states. We note that some condensate contributions could play an important role on the OPE side. By releasing the rigid OPE convergence criterion, we arrive at the numerical value 5.57-0.23+0.35 GeV for the scalar-scalar diquark-antidiquark 0+ state, which agrees with the experimental data for the X(5568) and could support its interpretation in terms of a 0+ tetraquark state with the scalar-scalar configuration. The corresponding result for the axial-axial current is calculated to be 5.77-0.33+0.44 GeV, which is still consistent with the mass of X(5568) in view of the uncertainty. The feasibility of X(5568) being a tetraquark state with the axial-axial configuration therefore cannot be definitely excluded. For the pseudoscalar-pseudoscalar and the vector-vector cases, their unsatisfactory OPE convergence make it difficult to find reasonable work windows to extract the hadronic information.

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