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Volume 61, 2024The 9th International Symposium on Current Progress in Mathematics and Sciences 2023 (The 9th ISCPMS 2023) in conjunction with AUA Academic Conference on the Application of Artificial Intelligences and Data Sciences in a Modern Science for a Better Life
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|10 January 2024
The properties of radially excited charmonia in the light front quark model
1 Department of Physics, Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Indonesia, Depok 16424, Indonesia
2 Few-Body System in Physics Laboratory, RIKEN Nishina Center, Wako 351-0198, Japan
3 Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan
* Corresponding author: firstname.lastname@example.org
Investigating the properties of excited charmonia is important to clarify its internal structure. In this paper, we present the mass spectra (MS) and decay constants (DC) for charmonia up to 3S states calculated by means of the light-front quark model based on a variational approach. In particular, we consider the QCD-motivated effective Hamiltonian, which includes both confinement (linear and screened) and Coulomb-like potentials. Furthermore, since the existence of the nature of heavy quark symmetry, we treat hyperfine interactions perturbatively. We developed the harmonic oscillator expansion method to approximate the wave function (WF) for excited states. We found that the results of our theoretical calculations, using screened potentials rather than linear ones, are in good agreement with experimental data. By looking at the mass and decay constant result, we found that our result on the ψ(3S) state matched the properties of the ψ(4040) resonance.
Key words: Charmonia / LFQM / harmonic oscillator expansion method / mass spectra / decay constant
© The Authors, published by EDP Sciences, 2024
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