The coupling g(B . B pi) is related to the form factor at zero momentum of
the axial current between B* and B states. Moreover it is related to the ef
fective coupling between heavy mesons and pions that appears ill the heavy
meson chiral Lagrangian. This coupling has been evaluated on the lattice us
ing static heavy quarks and light quark propagators determined by a stochas
tic inversion of the fermionic bilinear. We found the value g = 0.42(4)(8).
Beside its theoretical interest, this quantity has phenomenological implic
ations in B --> pi + (l) over bar l decays.