We know color-neutral bound systems of quarks exist in the form of hadrons, we suspect color-neutral bound systems of gluons exist in the form of glueballs, we have a candidate particle which may be an hybrid meson bound to a gluon. My question is if there exists any configuration consisting of a single quark and an arbitrary number of gluons that results in a color-neutral system that could exist on its own, even if it would be unstable or would mix with other particle states. If the answer is no, why?
Particle Physics – Is It Possible for an Isolated Quark to Exist with Non-Virtual Gluons to Render the System Color Neutral?
color-chargeconfinementgluonsparticle-physicsquarks
Best Answer
It boils down to whether one can make a color neutral particle with a quark and some colored gluons.
See also the evidence for three colors.
Now the gluons do not carry a single color
I do not think that the algebra of the existing model can model what you want. If it is a red quark it might be neutralized by a gluon carrying antired, but there would be left over the other color carried by the gluon. This would be true for combinations of gluons too, there would be left over color or anticolor, so color neutrality cannot be attained within QCD.