a) List all allowed according to the Pauli principle partial waves with isospin \( T \), their projection \( T_z \), spin \( S \), orbital angular momentum \( l \) and total spin \( J \) for \( J\le 3 \). Use the standard spectroscopic notation \( ^{2S+1}L_J \) to label different partial waves. A proton-proton state has \( T_Z=-1 \), a proton-neutron state has \( T_z=0 \) and a neutron-neutron state has \( T_z=1 \).