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The effect of gluon condensate on imaginary potential and thermal width from holography

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Abstract

By the use of the gauge/gravity duality, we calculate the imaginary part of heavy quarkonium potential and thermal width with the effect of gluon condensate which is absent in \(\hbox {AdS}_{{5}}\) background. Our results show that the dropping gluon condensate reduces the absolute value of imaginary potential and therefore decreases the thermal width both in “exact” and “approximate” approach implying that the heavy quarkonium has a weaker bound with the increase of gluon condensate. In addition, the thermal width will disappear at a critical condensate value, which indicates the dissociation of quarkonium. We conclude that increasing gluon condensate will lead to easier dissociation of heavy quarkonium for fixed temperature.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data.]

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Acknowledgements

We would like to thank Zi-qiang Zhang for useful discussions of imaginary potential.

Author information

Author notes

  1. Yan-Qing Zhao and Zhou-Run Zhu contribute equally.

Authors and Affiliations

  1. College of Science, China Three Gorges University, Yichang, 443002, China

    Yan-Qing Zhao

  2. Institute of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOS), Central China Normal University, Wuhan, 430079, China

    Zhou-Run Zhu & Xun Chen

Authors
  1. Yan-Qing Zhao
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  2. Zhou-Run Zhu
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  3. Xun Chen
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Corresponding author

Correspondence to Xun Chen.

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Communicated by Reinhard Alkofer

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Zhao, YQ., Zhu, ZR. & Chen, X. The effect of gluon condensate on imaginary potential and thermal width from holography. Eur. Phys. J. A 56, 57 (2020). https://doi.org/10.1140/epja/s10050-020-00072-5

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