Charmed Mesons Have No Discernable Color-Coulomb Attraction

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Starting with a confining linear Lorentz scalar potential Vₛ and a Lorentz vector potential Vᵥ which is also linear but has in addition a color-Coulomb attraction piece, -alphaₛ/r, we solve the Dirac equation for the ground-state c- and u-quark wave functions. Then, convolving Vᵥ with the u-quark density, we find that the Coulomb attraction mostly disappears, making an essentially linear barVᵥ for the c-quark. A similar convolution using the c-quark density also leads to an essentially linear tildeVᵥ for the u-quark. For bound cbar-c charmonia, where one must solve using a reduced mass for the c-quarks, we also find an essentially linear widehatVᵥ. Thus, the relativistic quark model describes how the charmed-meson mass spectrum avoids the need for a color-Coulomb attraction.