Coherent transfer in multilevel systems by adiabatic passage through a
trapped state has experimentally shown very different efficiencies fo
r the two hyperfine components F = 4 --> F' = 4 and F = 4 --> F' = 3 o
f the cesium D-2 line. If an efficiency up to 55 % is observed for m(p
) = 4 --> m(p) = - 4 population transfer with the F = 4 --> F' = 4 com
ponent, it is never better than 25 % for the F = 4 --> F' = 3 one. We
report here a theoretical interpretation of these experimental results
. We show in particular that the F = 4 --> F' = 3 transition is much m
ore sensitive to any diffused light, which can destroy totally the tra
pped state.