Abstract
The linear sigma model at finite baryonic density with a massive classical vector field is investigated considering that all the bosonic fields develop non zero expected classical values, eventually corresponding to dynamical symmetry breakings. The densities involving baryons are calculated using the solutions of the Dirac equation coupled to the classical vector and scalar field. The stability and ground state conditions are analyzed with particular (variational-like) prescriptions. Some aspects of relevance for states containing anti-hadrons and also for the restoration of chiral symmetry are discussed.
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