The form factors of B-1 --> pi and D-1 --> pi transitions, where B-1(D
-1) is the 1(+) P-wave <(Q)over bar gamma(nu)gamma(5)q> meson state, a
re calculated in the framework of the light cone QCD. Furthermore, the
se form factors are compared with the pole dominance model prediction
using the values of the strong coupling constants g(B1Bpi) and g(D1D*
pi), and a good agreement between these two different descriptions is
observed. (C) 1998 Elsevier Science B.V.