I've been working on something and I seem to have hit a noose. The PDG lists many N/Delta resonances, but let's focus on four of them, each with JP=3/2+: *N(1720), P13, http://pdg.lbl.gov/2009/listings/rpp2009-list-N-1720-P13.pdf *Delta(1232), P33, http://pdg.lbl.gov/2009/listings/rpp2009-list-Delta-1232.pdf *Delta(1600), P33, http://pdg.lbl.gov/2009/listings/rpp2009-list-Delta-1600.pdf *Delta(1920), P33, http://pdg.lbl.gov/2009/listings/rpp2009-list-Delta-1920.pdf where spectroscopic state is noted L2I 2J. Now, if I want to identify the quantum numbers of these particles, J is given as 3/2, from P we know that L is 1, and thus S needs to be 1/2 (|J|=|L+S|, ..., |L-S| in integer steps). And now I'm left with only n to distinguish between a N and a Delta, which makes no sense. What am I doing wrong?