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In this work we study an extension of a light-cone QCD-inspired model, where the interacting part of the mass squared operator consists of a harmonic oscillator potential as confinement, a Coulomb-like interaction and a zero-range spin interaction acting on the 3S0 states. The renormalization of the model is performed by using as a input the pion mass to fix the strength of the spin interaction. We apply the extended model to study the splitting of the 3S1 and 3S0 ground state mesons and the spectrum in the light meson sector. We show that the experimental values of the splitting between the masses of 3S1 and 3S0 ground state mesons as a function of the ground state pseudoscalar mass is reproduced by the model. In the botonium case our result is consistent with other theoretical estimates.

3S1 and ¹S0 meson spectra in a renormalized QCD-inspired model