  Parity doublet model is an effective chiral model that includes the chiral
variant and invariant masses of baryons. The chiral invariant mass has large
impacts on the density dependence of models which can be constrained by neutron
star observations. In the previous work, models of two-flavors have been
considered up to a few times nuclear saturation density, but in such dense
region it is also necessary to consider hyperons. With the chiral invariant
masses baryons can stay massive in extreme environments (e.g., neutron stars)
where the chiral symmetry restoration takes place. In this work, we generalize
the previous $\mbox{SU(2)}_L \times \mbox{SU(2)}_R$ parity models of nucleons
to $\mbox{SU(3)}_L \times \mbox{SU(3)}_R$ models of the baryon octet, within
the linear realization of the chiral symmetry. The major problem in
constructing such models has been too many candidates for the chiral
representations of baryons. Motivated by the concepts of diquarks and the
mended symmetry, we choose the $(3_L, \bar{3}_R) + (\bar{3}_L, 3_R)$, $(3_L,
6_R) + (6_L, 3_R)$ and $(1_L, 8_R) + (8_L, 1_R)$ representations and use quark
diagrams to constrain the possible types of Yukawa interactions. The masses of
the baryon octets for positive and negative baryons up to the first excitations
are successfully reproduced. As expected from the diquark considerations, the
ground state baryons are well dominated by $(3_L, \bar{3}_R) + (\bar{3}_L,
3_R)$ and $(1_L, 8_R) + (8_L, 1_R)$ representations, while the excited states
require $(3_L, 6_R) + (6_L, 3_R)$ representations. Important applications of
our model are the chiral restoration for strange quarks at large density and
the continuity of diquarks from hadronic to quark matter. We also address the
problem of large Yukawa couplings which are enhanced in three-flavor
construction.
