The Sun?
Just sayin’.
Boltzmann's Constant is k = 8.6e-5 eV/kelvin, and when multiplied times the temperature it gives the exponential factor exp( - E/kT ) showing the probability of a state ( of motion ) being occupied at that temperature. So kT is a characteristic energy for the temperature. The surface of the sun is only a few thousand kelvin, near the ionization energy of Hydrogen.
Even at the center of the sun the temperature is "only" 10 million kelvin, giving a characteristic energy of a few thousand eV, or a few Kev.
They are talking about kinetic energies of 100 GeV. The Tevatron, as the name ( from Tera-eV ) implies, can accelerate protons to these energies but not electrons. The problem with electrons is that they are light, and when you sling them in a circle, even 2 miles around, at these energies they give it up as synchrontron radiation faster than you can put it in.
The mechanism for highly energetic cosmic rays was a big mystery through the 50's and 60's, into the 70's and 80's even, although that's when they started to get some ideas about them. Still mind boggling, though.
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