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Interaction between electromagnetic radiation and nuclei can be written in terms of multipole radiation. Are multipole fields, multipole expansion and multipole radiation the same thing?

I have found this topics in Nuclear physics book written by R.R. Roy and B.P. Nigam.

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They are not the same thing, but in nuclear physics they are related in the following way:

You use the mathemtical technique of multiploe expansion to find out what the electromagnetic field of your nucleus looks like, which, I guess, is what you mean by multipole fields although I have not heard that term before.

You then use those properties you have found to compute specific aspects of the electromagnetic radiation that is emitted/absorbed by the nucleus or between states of the nucleus. This radiation is called multipole radiation and it is a very deep, interesting and complex field.

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