  We consider a model of a leaky quantum wire with the Hamiltonian $-\Delta
-\alpha \delta(x-\Gamma)$ in $L^2(\R^2)$, where $\Gamma$ is a compact
deformation of a straight line. The existence of wave operators is proven and
the S-matrix is found for the negative part of the spectrum. Moreover, we
conjecture that the scattering at negative energies becomes asymptotically
purely one-dimensional, being determined by the local geometry in the leading
order, if $\Gamma$ is a smooth curve and $\alpha \to\infty$.
