  We have developed and tested an experimental technique for the measurement of
low-energy (p,n) reactions in inverse kinematics relevant to nuclear
astrophysics. The proposed setup is located at the ReA3 facility at the
National Superconducting Cyclotron Laboratory. In the current approach, we
operate the beam-transport line in ReA3 as a recoil separator while tagging the
outgoing neutrons from the (p,n) reactions with the low-energy neutron detector
array (LENDA). The developed technique was verified by using the
$^{40}$Ar(p,n)$^{40}$K reaction as a probe. The results of the
proof-of-principle experiment with the $^{40}$Ar beam show that cross-section
measurements within an uncertainty of $\sim$25\% are feasible with count rates
up to 7 counts/mb/pnA/s. In this article, we give a detailed description of the
experimental setup, and present the analysis method and results from the test
experiment. Future plans on using the technique in experiments with the
separator for capture reactions (SECAR) that is currently being commissioned
are also discussed.
