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Chiral structure of vector and axial-vector tetraquark currents

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Abstract

We investigate the chiral structure of local vector and axial-vector tetraquark currents, and study their chiral transformation properties. We consider the charge-conjugation parity and classify all the isovector vector and axial-vector local tetraquark currents of quantum numbers I G J PC=1−1−+, I G J PC=1+1−−, I G J PC=1−1++ and I G J PC=1+1+−. We find that there is a one to one correspondence among them. Using these currents, we perform QCD sum rule analyses. Our results suggest that there is a missing b 1 state having I G J PC=1+1+− and a mass around 1.47–1.66 GeV.

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Notes

  1. See Supplemental Material at [URL will be inserted by publisher] for the classification of local vector and axial-vector tetraquark currents, their chiral transformation equations and their Borel transformed correlation functions.

  2. See footnote 1.

  3. See footnote 1.

  4. See footnote 1.

  5. See footnote 1.

  6. See footnote 1.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 11205011, and the Fundamental Research Funds for the Central Universities.

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  1. School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the Cosmos, Beihang University, Beijing, 100191, China

    Hua-Xing Chen

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Chen, HX. Chiral structure of vector and axial-vector tetraquark currents. Eur. Phys. J. C 73, 2628 (2013). https://doi.org/10.1140/epjc/s10052-013-2628-y

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