Gluonic effects in color dielectric model: (II). Effective quark mass and color dielectric function

Abstract

We study generalized versions of the Nielsen and Patkós color dielectric model with an effective quark mass m q(χ) = m q χ τ and a dielectric function k( χ) = χ β . Gluonic effects are studied in this model with both perturbative and self-consistent calculations. In the case of τ = 0.5 and β = 2, it is shown that the perturbative gluonic effects are too strong to obtain a reasonable description of N and Δ. The choice of τ = 2 and β = 4 is shown to give a reasonable agreement of the masses of N and Δ with their observed ones. Taking into account the results in our previous paper, it is therefore suggested that the choice of τ: β = 1:2 is superior to that of 1:4, the latter of which corresponds to the Nielsen and Patkós model.