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mackabra

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## Homework Statement

Calculate the allowed total angular momentum quantum numbers J for 2 protons in a nuclear shell model state j = 3/2.

## Homework Equations

J = j1 + j2 where j are the total angular momenta of each proton. Protons are spin 1/2, orbital angular momentum L is not given.

## The Attempt at a Solution

Protons are identical, and therefore cannot occupy the same state. I need some clarification on the the addition of the angular momenta.

I know that for a completely filled state, J = 0. However does this come from the fact that all the mj's cancel out (mj = -j, -j+1, ... j) , and how is this related to J = j1+j2+j3+etc...?

Any help would be appreciated

Thank you