  For exterior dilation analytic potential, $V$, we use the method of complex
scaling to show that the resonances of $ - \Delta + V $, in a conic
neighbourhood of the real axis, are limits of eigenvalues of $ - \Delta + V - i
\epsilon x^2 $ as $ \epsilon \to 0+ $, if $V$ can be analytically extended from
$\mathbb{R}^n$ to a truncated cone in $\mathbb{C}^n$.
