Question: If you combine three spin- particles, you can get a total spin of 3/2 or 1/2 (and the latter can be achieved in two distinct

If you combine three spin- particles, you can get a total spin of 3/2 or 1/2 (and the latter can be achieved in two distinct ways). Construct the quadruplet and the two doublets, using the notation of Equations 4.175 and 4.176:

32323232 3 31 Th |) 122) || ?? ?? ?? ?? ??

99 s = S 3 MIN 1 (quadruplet) (doublet 1)

Take it from there make sure |1/2 1/2)₂ is orthogonal to |1/2 1/2)₁ and to | 3/2 1/2).

Equations 4.175

Equations 4.176

32323232 3 31 Th |) 122) || ?? ?? ?? ?? ?? 99 s = S 3 MIN 1 (quadruplet) (doublet 1)

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