  The linear sigma model at finite baryonic density with a massive vector field
is investigated considering that all the bosonic fields develop non zero
expected classical values, eventually associated to condensates and
corresponding to dynamical symmetry breakings which might occur in the QCD
phase diagram. A modified equation for the classical vector field is proposed
with its respective solution. Some in medium properties of the model (mainly
masses) are investigated within reasonable prescriptions. In particular the
behavior of the {\it in medium} pion and sigma masses and a particular way of
calculating {\it in medium} coupling to baryons is investigated. A symmetry
radius for finite baryonic densities is proposed and calculated in different
ways in terms of the other variables of the model and these different ways of
calculating it agree quite well. However, assuming that the pion and sigma
masses go to zero close to the restoration of chiral symmetry a too high value
for the critical density is obtained $\rho_c \simeq 4.3 \rho_0$.
