  We compute the effective coupling of the Majoron to W bosons at $\cO(\hbar)$
by evaluating the matrix element of the (B-L) current between the vacuum and a
$W^+W^-$ state. The (B-L) anomaly vanishes, but the amplitude does not vanish
as a result of a UV finite and non-local contribution which is entirely due to
the mixing between left-chiral and right-chiral neutrinos. The result shows how
anomaly-like couplings may arise in spite of the fact that the (B-L) current
remains exactly conserved to all orders in $\hbar$, lending additional support
to our previous proposal to identify the Majoron with the axion.
