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

Abstract

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 3 S 0 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 3 S 1 and 3 S 0 ground state mesons and the spectrum in the light meson sector. We show that the experimental values of the splitting between the masses of 3 S 1 and 3 S 0 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.