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Test of the nonrelativistic \(c\bar{c}\) potential

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Abstract

We analyze the charmonium states by testing a phenomenological nonrelativistic potential and propose a new set of parameters. This new set of parameters is fixed using only the lowest lying S-wave states of charmonia where the spin-orbit and the tensor interactions will not contribute. After fitting the parameters, we analyze the whole fine structure of charmonium states taking into account the spin-orbit and the tensor interactions. Calculations showed that the nonrelativistic potential model with a phenomenologically defined parameters was indeed a good approximation for describing the charmonium states.

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Acknowledgements

This work is supported by the Basic Science Research Program through the National Research Foundation (NRF) of Korea funded by the Korean government (Ministry of Education, Science and Technology, MEST), Grant Number 2020R1F1A1067876.

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Authors and Affiliations

  1. Department of Physics, Inha University, Incheon, 22212, Korea

    Ulugbek Yakhshiev

  2. Theoretical Physics Department, National University of Uzbekistan, Tashkent, 100174, Uzbekistan

    Ulugbek Yakhshiev

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  1. Ulugbek Yakhshiev
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Correspondence to Ulugbek Yakhshiev.

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Yakhshiev, U. Test of the nonrelativistic \(c\bar{c}\) potential. J. Korean Phys. Soc. 79, 357–362 (2021). https://doi.org/10.1007/s40042-021-00234-8

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  • DOI: https://doi.org/10.1007/s40042-021-00234-8

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