  The quasistellar neutron spectrum produced via $^{7}$Li($p$, $n$)$^{7}$Be
reaction at a proton energy of 1.912 MeV has been extensively studied and
employed reaction for neutron-induced reaction studies. We are working towards
using this reaction at various proton energies from 1.9 MeV to 3.6 MeV to
produce a neutron field at a temperature range of $\sim$1.5-3.5 GK to conduct
measurements of neutron-induced charge particle reaction cross sections on
various unstable nuclei at explosive stellar temperatures. In this paper, we
are reporting our design and simulation study with regards to experimental
set-up and a gaseous detector with a segmented Micromegas detector for
conducting neutron-induced charge particle reactions studies for nuclei of
astrophysics importance, for example, $^{26}$Al($n$, $p$)$^{26}$Mg,
$^{26}$Al($n$, $\alpha$)$^{23}$Na and $^{40}$K($n$, $p$)$^{40}$Ar,
$^{40}$K($n$, $\alpha$)$^{37}$Cl reactions. We plan to perform our experiments
with a 10-$\mu$A proton beam at the Physikalisch Technische Bundesanstalt
facility (PTB, Germany), with a Micromegas-based gaseous detector under
construction as discussed in the paper.
