What formula gives QCD for the binding energy of the deuteron?
Particle physics has never given the fundamental laws between nucleons. The precision of the particle experiments are at best of 10% but usually it is qualitative. The precision of the nuclear masses is up to 6 digits for the proton…The strong and weak forces are pure imagination, nobody nows their fundamental laws
a) Yes, QCD gives the nucleon-nucleon force law. Solving it has been a multi-decadal effort which is hard to summarize for a nonexpert; there's a top-down approach, (google for "Argonne V18"), which takes as inputs the particle-physics observables (i.e., nn and np scattering experiments) and gives as an output the effective two-body potential seen by nn, np, and pp pairs inside a nucleus; the bottom-up approach of chiral effective field theory (
http://arxiv.org/abs/1105.2919 for a review) which solves a series of increasingly-accurate approximations to QCD. And nuclei are multi body systems, so all two-body knowledge has to be patched into many-body physics.
I remind you: it's incumbent on you to know this sort of thing
before you guess (or infer, or presume) that no such approach works.
b) No, QCD calculations cannot be carried out
to high precision to give this force. If you think that is a problem: the laws of E&M and quantum physics cannot (or could not until the 1970s) predict the
color of metallic gold---are quantum mechanics and E&M therefore wrong? No, rather, it's just that d-orbitals are computationally messy. The law of gravity cannot predict (or could not until the past five years or so) the infall path of colliding, spinning black holes. Does that mean GR is wrong? No, it means that it's hard.
"The calculations are too hard" is different than "the theory has a problem". There is no law of Nature saying "The Universe will only contain simple 1/r^2 force laws." QCD is computationally very hard in some domains and easy in others. It has passed all experimental tests in the "computationally easy" domains. As the theorists get better, it's also increasingly being tested (at the 1% level) in difficult domains, like meson spectra.
c) Nobody understands the weak interaction? What? Maybe
you don't understand it, but don't project that onto
us; the weak interaction is on par with QED in being both computationally-tractable and experimentally-tested. I invite you to name
one weak-interaction-theory prediction that disagrees with experiment; I invite you to name one weak-interaction experiment for which the underlying theory is intractable.