  We applied Thick Target Inverse Kinematics Method for a study of resonances
decaying through neutron emission. As a test we used a well-studied, because of
its role in s-process in stars, $^{13}$C($\alpha$; n) reaction. The observed
energy resolution for the $^{13}$C($\alpha$; n) excitation function was
$\sim$60 keV, the largest contributions coming from the time structure of the
beam and the thickness of the neutron detector. These measurements demonstrated
the high efficiency of the approach and revealed a disagreement with R-matrix
calculations based on parameters of the most recent previous analysis.
