The properties of radially excited charmonia in the light front quark model

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 3 S states calculated by means of the light-front quark model based on a variational approach. In particular,...

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Bibliographic Details
Published in:ITM web of conferences 2024, Vol.61, p.1016
Main Authors: Ridwan, Muhammad, Arifi, Ahmad Jafar, Mart, Terry
Format: Article
Language:English
Subjects:
charmonia
decay constant
Decay rate
Hamiltonian functions
harmonic oscillator expansion method
Harmonic oscillators
lfqm
Mass spectra
Quark models
Quarks
Wave functions
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Summary: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 3 S 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.
ISSN:2271-2097
2431-7578
2271-2097
DOI:10.1051/itmconf/20246101016