Abstract
We discuss two versions of relativistic nuclear mean field theory, and implications for the nuclear equation of state (EOS). The well‐known Walecka model gives too stiff an EOS, unless supplemented by additional non‐linear terms in the Lagrangian. A modification of this model suggested by Zimanyi leads to a softer EOS with no free parameters (once the energy and density of nuclear matter is fixed). However, it appears to give too small nuclear spin‐orbit coupling. The scalar coupling constant appearing in either theory can be derived using the Nambu‐Jona‐Lasigno model, and it appears to be fairly close to the empirical values appearing in either version of the mean field theory. Finally, we remark on the approximate validity of pseudospin in nuclei, which is of interest in connection with superdeformed nuclei. It turns out that the scalar coupling constant in the mean field theory is close to the value required for pseudospin to be valid.
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