I can solve the two particle system easily enough:
Using ##j_1 = 1## and ##j_2 = 1##, the possible total angular momentum values are ##j = 2, 1, 0##. With ## m = -j , -j+1, ..., j ##,
##j = 2: m = 2, 1, 0, -1, -2 ## (5 states)
##j = 1: m = 1, 0, -1## (3 states)
## j = 0: m = 0 ## (1 state)
I...