Computation of hybrid static potentials from optimized trial states in SU(3) lattice gauge theory

We compute hybrid static potentials in SU(3) lattice gauge theory using a method to automatically generate a large set of suitable creation operators from elementary building blocks. This method allows to find sets of creation operators, which generate trial states with large ground state overlaps for all investigated angular momentum and parity sectors. We present numerical results for hybrid static potentials with quantum numbers $\Sigma^-_g, \Sigma^+_u, \Sigma^-_u, \Pi_g, \Pi_u, \Delta_g, \Delta_u$.