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Reanalysis of the X(3915) , X(4500) and X(4700) with QCD sum rules

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Abstract.

In this article, we study the \( C\gamma_5\otimes \gamma_5C\) type and \( C\otimes C\) type scalar \( cs\bar{c}\bar{s}\) tetraquark states with the QCD sum rules by calculating the contributions of the vacuum condensates up to dimension 10 in a consistent way. The ground state masses \( M_{C\gamma_5\otimes \gamma_5C}=3.89\pm 0.05\) GeV and \( M_{C\otimes C} =5.48\pm0.10\) GeV support assigning the \( X(3915)\) as the ground state \( C\gamma_5\otimes \gamma_5C\) type tetraquark state with \( J^{PC}=0^{++}\) , but do not support assigning the \( X(4700)\) as the ground state \( C\otimes C\) type \( cs\bar{c}\bar{s}\) tetraquark state with \( J^{PC}=0^{++}\) . Then we tentatively assign the \( X(3915)\) and \( X(4500)\) as the 1S and 2S \( C\gamma_5\otimes \gamma_5C\) type scalar \( cs\bar{c}\bar{s}\) tetraquark states respectively, and obtain the 1S mass \( M_{1S}= 3.85^{+0.18}_{-0.17}\) GeV and 2S mass M 2S = 4.35+0.10 -0.11 GeV from the QCD sum rules, which support assigning the X(3915) as the 1S \( C\gamma_5\otimes \gamma_5C\) type tetraquark state, but do not support assigning the X(4500) as the 2S \( C\gamma_5\otimes \gamma_5C\) type tetraquark state.

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Authors and Affiliations

  1. Department of Physics, North China Electric Power University, 071003, Baoding, China

    Zhi-Gang Wang

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  1. Zhi-Gang Wang
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Correspondence to Zhi-Gang Wang.

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Communicated by A. Peshier

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Wang, ZG. Reanalysis of the X(3915) , X(4500) and X(4700) with QCD sum rules. Eur. Phys. J. A 53, 19 (2017). https://doi.org/10.1140/epja/i2017-12208-7

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  • DOI: https://doi.org/10.1140/epja/i2017-12208-7

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