You've got the wrong idea. When I search for "meson production", dozens of paper abstracts pop up, a sampling of the many hundreds written in recent years. Here's one from 1982:
Abstract. Presents a model of cumulative pi --meson production in the interaction of relativistic deuterons with protons. The interaction of three nucleons is calculated by taking two- and three-particle forces into account. The differential cross section calculated for pi --meson production shows good agreement with the experimental data.
It's a complicated business! When discrepancies with experimental data are found, nobody thinks "Uh oh, Quantum Mechanics is wrong!"
Yes, I know. But I think skepticism is healthy, and there isn’t any here. There is a herd mentality with QM. Of course, it is not just QM. Relativity is another theory that has been “proven” correct. But there is a conflict between relativity and QM. They can’t both be right. It’s sort of like the question of what happens if an unstoppable force meets an immovable object? I suspect that in reality, they are both not quite right. Quantum mechanics is the one that I think may be off the most. The idea of probability playing such a huge role in all this doesn’t make any sense to me. The fact that the mathematics works out doesn’t save it in my mind, especially when you see stories like this one, reporting that the physicists’ calculations of the probabilities told them one thing, but the experiment is telling them something different.
The defects in relativity can’t be very big. But I would not even discount the possibility that there are problems with it. When you hear physicists say that it’s the most extensively tested theory of all time, they are just talking about certain aspects of it, especially the Lorentz transformation. Other aspects, like time dilation, have only been tested in a superficial way, and the simultaneity conclusions have not been tested at all, except to the extent you can say that they are a necessary result of the time dilation conclusions.
The recent dark energy and dark matter observations ought to be a clue that there is something not quite right with the theory of relativity. Maybe you need to observe these things on a universal scale to see that the theory deviates from reality. When you are measuring things on the scale of a laboratory, there is not much difference between x and dx. But if you are measuring on the scale of the universe, you better have the derivative correct, or it will noticeably affect the conclusion.
A lot of what went into Einstein’s theory was his conviction that it had to be right because of the beauty of the rotational and lateral invariances resulting from the Lorentz transformation. Other aspects of the theory, like the twin paradox, which results from the time dilation conclusions, aren’t so beautiful. He traded one kind of beauty for another. But I think he could have come up with a theory that did away with the twin paradox, while making only a minor change to the Lorentz transformation. Obviously, that would have done away with the lateral invariance, and possibly the rotational invariance. But maybe not in a significant enough way to be noticeable in experiment.