dorsal/arxiv
View SchemaAn Effective Lagrangian with Broken Scale and Chiral Symmetry Applied to Nuclear Matter and Finite Nuclei
| Authors | E. K. Heide, S. Rudaz, P. J. Ellis |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9308002 |
| URL | https://arxiv.org/abs/nucl-th/9308002 |
| DOI | 10.1016/0375-9474(94)90717-X |
| Journal | Nucl.Phys. A571 (1994) 713-732 |
Abstract
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.
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"abstract": "We study nuclear matter and finite nuclei with a chiral Lagrangian which\ngeneralizes the linear $\\sigma$ model and also accounts for the QCD trace\nanomaly by means of terms which involve the $\\sigma$ and $\\vmg{\\pi}$ fields as\nwell as the glueball field $\\phi$. The form of the scale invariant term leading\nto an omega meson mass, after symmetry breaking, could involve coupling to\n$\\phi^2$ or $\\sigma^2$ or some linear combination thereof. In fact an\n$\\omega_{\\mu}\\omega^{\\mu}\\phi^2$ form is strongly favored by the bulk\nproperties of nuclei, which also rather strongly constrain the other\nparameters. A reasonable description of the closed shell nuclei oxygen, calcium\nand lead can be achieved, although the spin-orbit splittings are somewhat\nsmaller than the experimental values.",
"arxiv_id": "nucl-th/9308002",
"authors": [
"E. K. Heide",
"S. Rudaz",
"P. J. Ellis"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(94)90717-X",
"journal_ref": "Nucl.Phys. A571 (1994) 713-732",
"title": "An Effective Lagrangian with Broken Scale and Chiral Symmetry Applied to Nuclear Matter and Finite Nuclei",
"url": "https://arxiv.org/abs/nucl-th/9308002"
},
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