$P$-wave baryons in the quark model

We discuss the spectrum and mixing angles of negative-parity baryons in a quark-model framework inspired by quantum chromodynamics. We take into account in zero order the removal of the degeneracy between the two $P$-wave states of the three-quark system in the $S=-1\mathrm{}$ sector, as well as the hyperfine interaction between quarks, but neglect spin-orbit coupling. We find good agreement with experiment in the $S=0\mathrm{}$ and $S=-1\mathrm{}$ sectors where there are data and predict the $S=-2, -3\mathrm{}$ sectors.