A Density Functional for Quark Matter with Screened Confinement Interactions

Abstract

We derive a density functional for quark matter with linear confinement interaction, applying the principle of saturation of color interactions. For the saturation parameter $μ$ the ansatz $μ=k_F$ is suggested, where for the Fermi momentum $k_F \propto n^{1/3}$ going to zero the Cornell potential is obtained and at finite quark densities $n$ an interaction energy density functional $\propto n^{2/3}$ results.