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Charmonium mass shifts in an unquenched quark model

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Abstract

In this paper, we performed a coupled-channel calculation and evaluated the mass shifts for all 1S, 2S, 1P, 2P and 1D charmonium valence states below 4 GeV, by incorporating the four-quark components (D, \(D^*\), \(D_s\) and \(D_s^*\) meson pairs) into the quark model. The valence-continuum coupling is provided by the \(^3P_0\) quark-pair creation model. The induced mass shifts appear to be large and negative with the original transition operator in \(^3P_0\) model, which raised up challenges for the valence quark model. More QCD-motivated models should be employed for the quark-pair creation Hamiltonian. So herein, we recalculated the mass shifts with the improved \(^3P_0\) transition operator introduced in our previous work and the mass shifts are reduced by \(75\%\) averagely. Besides, as a exercise, we adjust the confinement parameter \(\Delta\) and recalculate the spectrum of the charmonium states. The masses of some charmonium states are reproduced well.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: There are no associated data available.]

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Acknowledgements

This work is partly supported by the National Natural Science Foundation of China under Grants No. 12205125, No. 11847145, No. 12205249 and No. 11865019, and also supported by the Natural Science Foundation of Jiangsu Province under Grants No. BK20221166.

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Authors and Affiliations

  1. College of Science, Jinling Institute of Technology, Nanjing, 211169, People’s Republic of China

    Xiaoyun Chen

  2. Department of Physics, Yancheng Institute of Technology, Yancheng, 224000, People’s Republic of China

    Yue Tan

  3. College of Science, Guizhou University of Engineering Science, Bijie, 551700, People’s Republic of China

    Youchang Yang

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  1. Xiaoyun Chen
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  2. Yue Tan
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Correspondence to Xiaoyun Chen.

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Chen, X., Tan, Y. & Yang, Y. Charmonium mass shifts in an unquenched quark model. Eur. Phys. J. Plus 138, 653 (2023). https://doi.org/10.1140/epjp/s13360-023-04181-0

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