# Angular momentum in baryon multiplets

In the Murray Gell-Mann model, particles are brought together as a function of their angular momentum. The classification diagrams can be seen as irreducible representations of $SU(3)$, following multiplication rules $3\otimes 3\otimes 3$=$10\oplus 8\oplus 8\oplus 1$.

My question is: must $J^p$ be equal between each of these decuplet, octets, and singlet? (Is there a $J^p=1/2^+$ baryon decuplet?)

I know it is the case for the mesons, but I am not sure if this is by chance or it is demanded.