Splitting of theπ−ρspectrum in a renormalized light-cone QCD-inspired model

Abstract

We show that the splitting between the light pseudo-scalar and vector meson states is due to the strong short-range attraction in the 1 S0 sector which makes the pion and the kaon light particles. We use a light-cone QCD-inspired model of the mass squared operator with harmonic confinement and a Dirac-delta interaction. We apply a renormalization method to define the model, in which the pseudo-scalar ground state mass fixes the renormalized strength of the Dirac-delta interaction.

Universal description ofS-wave meson spectra in a renormalized light-cone QCD-inspired model

“…This paper is organized as follows. In section II, we give very briefly the extension of the light-cone QCD-inspired theory for which the mass squared operator of a constituent quarkantiquark system includes a confining interaction [4]. The renormalization of the theory using the subtracted equations for the transition matrix [8] of the model can be found in Ref.…”

“…The renormalization of the theory using the subtracted equations for the transition matrix [8] of the model can be found in Ref. [3,4] thus is omitted here. In the same section, we present the Dirac-delta term plus harmonic oscillator potential approach and solve it with the T matrix method developed in Ref.…”

“…The model was extended to include the confining interaction and used to study the splitting of the excited pseudo-scalar states from the excited 3 S 1 vector meson states as a function of the ground state pseudo-scalar mass [4]. In Ref.…”

“…In Ref. [4], the Coulomb-like and the confining interactions were substituted by a harmonic oscillator potential, which allowed an analytic formulation. The parameters of the confining interaction in the mass squared operator, were fitted to the 3 S 1 -meson ground state mass and to the slope of the trajectory of excited states with the radial quantum number [5].…”

Nucleon magnetic moments in light-front models with quark mass asymmetries

“…We introduce a difference between the constituent quarks masses in the nucleon, which is understood to be an effective way to include in the model the effect of the attractive short ranged spin-spin force in singlet channel. The origin of the attraction in the singlet channel can be related to the one-gluon hyperfine interaction or other short ranged effects, like the instanton induced interaction (see discussion in [9]). In the proton, the quark d sees a more attractive field than the up-quarks.…”