We study the dispersion relations of mesons and baryons built from Brillouin quarks on one $N_f=2$ gauge ensemble provided by QCDSF. For quark masses up to the physical strange quark mass, there is hardly any improvement over the Wilson discretization, if either action is link-smeared and tree-level clover improved. For quark masses in the range of the physical charm quark mass, the Brillouin action still shows a perfect relativistic behavior, while the Wilson action induces severe cutoff effects. As an application we determine the masses of the ${\Omega }_c^0$, ${\Omega }_{cc}^{+}$ and ${\Omega }_{ccc}^{++}$ baryons on that ensemble.

• Received 17 September 2012

DOI:https://doi.org/10.1103/PhysRevD.86.114514