However, virtual quark pairs are created and they hadronize and become virtual proton pairs. They don't decay they annilihate which is why they convert into photons.

I believe there's literature in particle physics on this issue, but for now all I have is:

Measurement of the proton anti-proton pair production from two photon collisions at TRISTAN
VENUS collaboration (H. Hamasaki et al.).
Phys. Lett. B 407 (1997) 185-192

If I'm mistaken please let me know.

Warm regards, Harv

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