  We investigate the effects of chiral three-nucleon force (3NF) on proton
scattering at 65 MeV and $^{4}$He scattering at 72 MeV/nucleon from heavier
targets, using the standard microscopic framework composed of the
Brueckner-Hartree-Fock (BHF) method and the $g$-matrix folding model. For
nuclear matter, the $g$ matrix is evaluated from chiral two-nucleon force (2NF)
of N$^{3}$LO and chiral 3NF of NNLO by using the BHF method. Since the $g$
matrix thus obtained is numerical and nonlocal, an optimum local form is
determined from the on-shell and near-on-shell components of $g$ matrix that
are important for elastic scattering. For elastic scattering, the optical
potentials are calculated by folding the local chiral $g$ matrix with
projectile and target densities. This microscopic framework reproduces the
experimental data without introducing any adjustable parameter. Chiral-3NF
effects are small for proton scattering, but sizable for $^{4}$He scattering at
middle angles where the data are available. Chiral 3NF, mainly in the
2$\pi$-exchange diagram, makes the folding potential less attractive and more
absorptive for all the scattering.
