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\(Q\bar {Q}\) \((Q \in \{ b,c\} )\) Spectroscopy Using the Modified Rovibrational Model

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

Mass spectra of quarkonium systems can be described by different phenomenological potentials. In the present work, we explored theoretical analysis methods for energy spectra of diatomic molecules and heavy mesons, the resonance states (\(c\bar {c}\) and \(b\bar {b}\)) of heavy quarkonium were considered the rovibrational states. A parameterized rovibrational model was derived from the empirical solution of the nonrelativistic Schrödinger equation with Morse potential. The corrections were composed of color hyperfine interaction and spin-orbit interaction of mesons. The high excited state mass spectra of charmonium and bottomonium were obtained after comparing the results with the present experimental data in a fair manner. Our calculations show that the modified rovibrational model can be used in the meson system of quark and anti-quark, thereby proving to be useful for the interpretation of excited hadron spectra.

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Funding

This work is supported by the National Natural Science Foundation of China under Grants no. 11965016 and no. 12247101, the projects funded by Science and Technology Department of Qinghai Province (no. 2020-ZJ-728).

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Authors and Affiliations

  1. College of Physics and Electronic Information Engineering, Qinghai Normal University, 810000, Xining, China

    Zheng-Yuan Fang, Ya-Rong Wang & Cheng-Qun Pang

  2. Joint Research Center for Physics, Lanzhou University and Qinghai Normal University, 810000, Xining, China

    Zheng-Yuan Fang, Ya-Rong Wang & Cheng-Qun Pang

  3. Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou, 730000, Gansu, China

    Cheng-Qun Pang

Authors
  1. Zheng-Yuan Fang
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  2. Ya-Rong Wang
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Correspondence to Cheng-Qun Pang.

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Zheng-Yuan Fang, Wang, YR. & Pang, CQ. \(Q\bar {Q}\) \((Q \in \{ b,c\} )\) Spectroscopy Using the Modified Rovibrational Model. Phys. Part. Nuclei Lett. 20, 589–597 (2023). https://doi.org/10.1134/S1547477123040714

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