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