Abstract

We discuss the properties of nucleons in nuclear matter and the properties of nucleonic systems in the framework of an in-medium modified Skyrme Lagrangian. The modification is achieved by introducing the medium functionals into the original Skyrme Model Lagrangian in free space[Formula: see text]. The parameters of the medium functionals are related to the low density phenomenology (i.e. to the pionic atoms3) from the one side and to the properties of nuclear matter at the saturation density [Formula: see text] from the other side. After fitting the parameters of the model, the extrapolations into the low density and high density regions showed that the model can successfully describe the Equations of State (EoS) of nuclear matter in the wide range of densities including the high critical densities existing in the interiors of neutron stars.

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