Abstract
We study nuclear matter and finite nuclei in the mean field approximation with a chiral lagrangian which generalizes the linear σ model and also accounts for the QCD trace anomaly by means of terms which involve the σ and π fields as well as the glueball field φ. The scale invariant term which leads to an omega meson mass, after symmetry breaking, is strongly favored to be of the form ω μ ω μ φ 2 by the bulk properties of nuclei; they also rather strongly constrain the other parameters. A reasonable description of the closed shell nuclei oxygen, calcium and lead can be achieved and this can be improved by including a term( ω μm ω μm ) 2 in the lagrangian. This leads to a level of agreement with the data that is comparable to that of the nonlinear Walecka model.
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