Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1993-08-02
Nucl.Phys. A571 (1994) 713-732
Physics
Nuclear Physics
Nuclear Theory
25 pages, NUC-MINN-93/21-T (7 figures in postscript obtainable from authors)
Scientific paper
10.1016/0375-9474(94)90717-X
We study nuclear matter and finite nuclei with a chiral Lagrangian which generalizes the linear $\sigma$ model and also accounts for the QCD trace anomaly by means of terms which involve the $\sigma$ and $\vmg{\pi}$ fields as well as the glueball field $\phi$. The form of the scale invariant term leading to an omega meson mass, after symmetry breaking, could involve coupling to $\phi^2$ or $\sigma^2$ or some linear combination thereof. In fact an $\omega_{\mu}\omega^{\mu}\phi^2$ form is strongly favored by the bulk properties of nuclei, which also rather strongly constrain the other parameters. A reasonable description of the closed shell nuclei oxygen, calcium and lead can be achieved, although the spin-orbit splittings are somewhat smaller than the experimental values.
Ellis Paul J.
Heide E. K.
Rudaz Serge
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