https://www.linkedin.com/title/nuclear-engineer-at-cern

Top 23 Nuclear Engineers at CERN (Linkedin)

gives some idea

Mr. Ganesan, A Giant Research Center like CERN is always need some of the experts in various fields. If you're a nuclear engineer may be you can contribute by analysis in reaction of atomic nuclei, physics phenomena of sub atomic,  protection, etc. You can be contribute in particle physics with many ways because you are a nuclear engineer that is very close to research at CERN (including particle physics). Only it that i know, CMIIW 

https://www.linkedin.com/title/nuclear-engineer-at-cern

Top 23 Nuclear Engineers at CERN (Linkedin)

gives some idea

You are lucky to be at CERN to do some very interesting work. Whilst doing your Nuclear Engineering you may have become familiar with particle physics; the smaller components of the atomic nucleus. Theoretical physics seeks out these components whilst nuclear engineering finds them experimentally, or devises the means to do so. e.g. theoretical particle physicists stated there is a Higgs boson particle; but it was the nuclear engineers who experimented and determined this fact.

Now it depends on your bias. If you like theory then contribute to particle physics with abstract theory and to balance energy equations within the nucleus of an atom; else do the practical side of operating the Hadron Collider with practical experimentation, hands on as a nuclear engineer, to make real what the theorists claim (not always correct but if so it is a Nobel Prize winner).

Good luck. I admire your initiative.