Matrix elements of SU(6) generators for baryons with arbitrary Nc quarks in mixed symmetric states [Nc−1,1]

We derive general analytic formulae for the matrix elements of the SU(6) generators for mixed symmetric [Nc−1,1] spin-flavor states with an arbitrary number Nc of quarks. They are relevant for baryon spectroscopy in the 1/Nc expansion method applied to light baryons and can be used to study excited states. In this way previous work on non-strange baryons can be extended to both non-strange and strange baryons.