What are major fruits harvested from charmonium spectroscopy?

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Discovery of charm quark,

...


Pls add more ...
 
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An amazing coincidence is that the reduced decay rate of J/Psi (the decay rate divided by the cube of its mass) coincides with the one of the pion, which is a spin zero composite. This is an unexplored result.
BuckeyePhysicist said:
Discovery of charm quark,

...Pls add more ...

As for your original question: understanding of QCD
 
Well, I konw we understand QCD better. But could a few specific items be listed, sort of?
 

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Thread 'Dirac-Delta from Normalization of Continuous Eigenfunctions'

I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
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