  Elastic and inelastic cross sections of the $p+{}^6\textrm{He}$,
$p+{}^8\textrm{He}$, and $\alpha+{}^8\textrm{He}$ reactions were investigated
using the Melbourne $g$-matrix folding approach with the theoretical densities
of ${}^6\textrm{He}$ and ${}^8\textrm{He}$ obtained by a microscopic structure
model of antisymmetrized molecular dynamics (AMD). Microscopic coupled-channel
(MCC) calculations of the $p+{}^6\textrm{He}$ and $p+{}^8\textrm{He}$ reactions
were performed to investigate transition properties of the
${}^6\textrm{He}(2^+_1)$ and ${}^8\textrm{He}(2^+_1)$ states. The MCC+AMD
calculations reproduced elastic cross sections of the $p+{}^6\textrm{He}$
reaction at $E=40.9$ MeV/A and of the $p+{}^8\textrm{He}$ reaction at $E=32.5$
and 72 MeV/A, which have both been measured by inverse kinematics experiments.
For $p+{}^6\textrm{He}$ inelastic scattering to the $2^+_1$ state, the
calculated result was in reasonable agreement with the $(p,p')$ data at
$E=24.5$ and 40.9 MeV/A and supported the AMD prediction of the neutron
transition matrix element $M_n=7.9$ fm$^2$. For the $p+{}^8\textrm{He}$
inelastic scattering to ${}^8\textrm{He}(2^+_1)$, the MCC+AMD calculation
overshot the $(p,p')$ cross sections at $E=72$ MeV/A by a factor of three.
According to a phenomenological model analysis, $M_n$ values in the range of
4--6 fm$^2$ were favored to reproduce the ${}^8\textrm{He}(2^+_1)$ cross
sections of the $p+{}^8\textrm{He}$ reaction at $E=72$ MeV/A. For the
$\alpha+{}^8\textrm{He}$ reaction, the MCC+AMD calculation reproduced the
elastic cross sections at $E=26$ MeV/A. Theoretical predictions of the ($p,p'$)
and ($\alpha,\alpha'$) cross sections to the ${}^8\textrm{He}(0^+_2)$,
${}^8\textrm{He}(1^-_1)$, ${}^8\textrm{He}(2^+_3)$ and ${}^8\textrm{He}(3^-_1)$
states are also given.
