Universal description of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-wave meson spectra in a renormalized light-cone QCD-inspired model

Abstract

A light-cone QCD-inspired model, with the mass squared operator consisting of a harmonic oscillator potential as confinement and a Dirac delta interaction, is used to study S-wave meson spectra. The two parameters of the harmonic potential and quark masses are fixed by the masses of $\ensuremath{\rho}(770),$ $\ensuremath{\rho}(1450),$ $J/\ensuremath{\psi},$ $\ensuremath{\psi}(2S),$ ${K}^{*}(892),$ and ${B}^{*}.$ We apply a renormalization method to define the model, in which the pseudoscalar ground state mass fixes the renormalized strength of the Dirac delta interaction. The model presents a universal and satisfactory description of both singlet and triplet states of S-wave mesons and the corresponding radial excitations.