What will happen if a photon rotating in LHC so fast it catches and bumps to itself?.
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6What does "photon rotating in LHC" mean? Did you mean to ask about a proton revolving in the LHC? – PM 2Ring Dec 21 '23 at 16:43
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BTW, they don't send single protons into the main ring of the LHC. A proton beam (initially) consists of 2808 bunches of protons, with ~120 billion protons per bunch. https://home.cern/resources/faqs/facts-and-figures-about-lhc – PM 2Ring Dec 21 '23 at 16:46
2 Answers
In QED there is no photon-photon vertex, meaning that two photons can only interact only via creation of electron-antielectron pairs (or other particle antiparticle "loops" ).
@Mirella Luigi Pozzi's answer address the theoretical concerns regarding:
$$ \gamma_1 + \gamma_2 \rightarrow \gamma_3 + \gamma_4 $$
though, you question seems to be about:
$$ \gamma_1 + \gamma_1 \rightarrow X $$
which doesn't makes sense in this context.
There are also experimental concerns:
all photons with wavelengths $\lambda << R$, where $R$ is the radius of the beam-pipe travel at the speed of light, so the statement "goes so fast" doesn't really apply to light.
A storage ring uses magnetic fields to confine charged particles in a (piece-wise) circular orbit. That works for protons and heavy nuclei, which the LHC stores.
Photons are neutral, and are not bent by the field, and cannot be stored in the LHC.
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