Meson and baryon dispersion relations with Brillouin fermions

Abstract

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 ${\ensuremath{\Omega}}_{c}^{0}$, ${\ensuremath{\Omega}}_{cc}^{+}$ and ${\ensuremath{\Omega}}_{ccc}^{++}$ baryons on that ensemble.