The validity of the coupled cluster method is studied within the lattice ga
uge field theory given by a SU(2) pure glue theory in 2+1 dimensions. Satis
factory convergence is observed for the ground state, but the method is les
s successful for the prediction of glueballs. We propose to improve the cou
pled cluster method for excited states by combining it with standard Monte-
Carlo techniques which potentially cure the non-hermiticity problems caused
by the truncation.