  The dense baryonic matter and hadron properties in medium were simulated by
using a Skyrme model including the ground state vector mesons introduced from
the hidden local symmetry approach up to the next to leading order. We found
that both the $\rho$ and $\omega$ mesons affect the baryonic matter and medium
modified hadron properties dramatically. The most remarkable observation is
that, the pion decay constant and the nucleon mass have the similar density
dependence which agrees with the large $N_c$ argument. Explicitly, they drop
with increasing density in the Skyrmion phase and stop decreasing at
$n_{1/2}^{}$ at which the skyrmions in medium fractionize into half-skyrmions
and remains nearly constants in the half-skyrmion phase. This density
dependence in the half-skyrmion phase indicates that, although $\langle
\bar{q}q\rangle \neq 0$ on average in this phase, chiral symmetry is not
restored since hadrons are still massive and there exist pions. In addition,
the nearly constant nucleon mass means that it could has a non-vanishing
component up to the chiral transition, which might shed light on the origin of
the nucleon mass.
