  We report high-sensitivity AC susceptibility measurements of the penetration
depth in the Meissner state of the layered organic superconductor
kappa-(BEDT-TTF)2Cu[N(CN)2]Br. We have studied nominally pure single crystals
from the two different syntheses and employed controlled cooling procedures in
order to minimize intrinsic remnant disorder at low temperatures associated
with the glass transition, caused by ordering of the ethylene moieties in
BEDT-TTF molecule at T_G = 75 K. We find that the optimal cooling procedures
(slow cooling of -0.2 K/h or annealing for 3 days in the region of T_G) needed
to establish the ground state, depend critically on the sample origin
indicating different relaxation times of terminal ethylene groups. We show
that, in the ground state, the behavior observed for nominally pure single
crystals from both syntheses is consistent with unconventional d-wave order
parameter. The in-plane penetration depth lambda_in(T) is strongly linear,
whereas the out-of-plane component lambda_out(T) varies as T^2. In contrast,
the behavior of single crystals with long relaxation times observed after slow
(-0.2 K/h) cooling is as expected for a d-wave superconductor with impurities
(i.e. lambda_in(T) propto lambda_out(T) propto T^2) or might be also reasonably
well described by the s-wave model. Our results might reconcile the
contradictory findings previously reported by different authors.
