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S wave meson spectra from the light cone harmonic oscillator model with a consistent hyperfine interaction

Shan-Gui Zhou·Hans-Christian Pauli
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Abstract

We use a light cone harmonic oscillator model to study S wave meson spectra, namely the pseudoscalar and vector mesons. The model Hamiltonian is a mass squared operator consisting of a central potential (a harmonic oscillator potential) from which a hyperfine interaction is derived. The hyperfine interaction is responsible for the splitting in the pseudoscalar-vector spectra. With 4 parameters for the masses of up/down, strange, charm and bottom quarks, 2 for the harmonic oscillator potential and 1 for the hyperfine interaction, the model presents a reasonably good agreement with the data.

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Shan-Gui Zhou, Hans-Christian Pauli. 2003-12-01. S wave meson spectra from the light cone harmonic oscillator model with a consistent hyperfine interaction. https://doi.org/10.1088/0954-3899%2F30%2F9%2F003

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