To be sure, we have a complete theory of the strong force (i.e., quantum chromodynamics or QCD) in the same way that we have a complete theory for the other forces within the context of the Standard Model of particle physics. There are numerous ways in which the Standard Model overall is incomplete, but for this post I’ll stick to the Standard Model and the as-far-as-has-been-demonstrated completely-working QCD subpart of it.
Despite being theoretically complete, QCD is notoriously resistant to precise calculations, as it does not permit ever-more-accurate approximations just by adding on terms in a mathematical series. This is more problematic at low energies (e.g., predicting hadron properties) than at high energies (e.g., smashing very high-energy hadrons together in a particle collider).
Calculations from first principles can be done still, but only for certain sorts of questions or physical systems and generally with a few empirical “pivot points” injected to remove as much of the problematic parts of the calculations as desired or tolerated. There is almost always a practical need for the calculation to be relative to some measured value. So, maybe you can’t calculate a or b practically, but you can calculate b-a and you can measure a. If a is “boring” (like the mass of a pion) but b is interesting/unknown, you can calculate b by actually calculating b-a and adding back in the measured value of a.
For the result in the OP: This baryon is the equivalent of taking the proton and changing both “up” quarks with “charm” quarks. Two decades ago, an experiment called SELEX reported evidence of maybe seeing this particle but with a mass very different from expectations derived from QCD and the sorts of shell-game tricks mentioned in the previous paragraph. This was a rather notable discrepancy (evidence of new physics?), yet subsequent QCD-based calculations for the mass of this particle continued to predict the old expected value, not the SELEX value.
Yesterday, LHCb reported discovery of this particle and found it to have the QCD-based predicted mass. This is interesting because (1) it refutes the older SELEX anomalous measurement (as did some other prior measurements, but not with this level of statistical power), thus restoring this corner of QCD to a “yep, it still works” status, (2) it marks the start of the science program of the newly upgraded LHCb experiment, and (3) it is a terrifically difficult measurement to make.
If not for (1), this probably wouldn’t have made it across your desk. There are loads of baryons (easily 100+) that are well-established experimentally and tabulated, and even more mesons. Each one carries some storyline, but they all fit nicely into the QCD picture.
You can explore known (and some speculated) particles and their properties at the Particle Data Group website. The “Baryons” subsection is the most relevant one for this thread.