In a simple version of the nonlinear sigma model the nuclear matter be
haves as a system of nucleons interacting via two-body forces with a r
adius which decreases with increasing density. This allows us to apply
the Khodel-Shaginyan method which is adjusted to our approach by taki
ng into account the pseudoscalar-isovector symmetry of pion field and
both the scalar and pseudoscalar effective interactions. In contrast t
o the QHD [1] there is no vacuum corrections in our approach.