That's basically my question. Has the mass of the proton been calculated using QCD and the interactions between the current quarks? Perturbative methods obviously can't be used as they deal with asymptotically free particles, and QFT isn't suited for that. If so, what methods were used, or could be used?
The naked quarks are considerably lighter than the dressed-up ones. The constituent quarks have a mass of about 350 MeV, which is more than one-third of the mass of the proton, which is 938 MeV. These quarks have a binding energy, which must be then 936-1050=-112 MeV. The naked quarks have a mass of about 1/100 of the dressed-up ones.
Is there a scheme to tackle this problem? It's a pity I can't access the linked article in the comment section below. There is a paywall behind which the solution is allegedly given.
What is, for example, the biggest contribution to the increase in mass of the three naked quarks? Has this effective mass increase been calculated? Is there a way to calculate the momentum of the current quarks in protons? Do they move at relativistic speed, effectively increasing their mass?