dorsal/arxiv
View SchemaRelativistic Hartree approach with exact treatment of vacuum polarization for finite nuclei
| Authors | Akihiro Haga, Setsuo Tamenaga, Hiroshi Toki, Yataro Horikawa |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0408069 |
| URL | https://arxiv.org/abs/nucl-th/0408069 |
| DOI | 10.1103/PhysRevC.70.064322 |
| Journal | Phys.Rev. C70 (2004) 064322 |
Abstract
We study the relativistic Hartree approach with the exact treatment of the vacuum polarization in the Walecka sigma-omega model. The contribution from the vacuum polarization of nucleon-antinucleon field to the source term of the meson fields is evaluated by performing the energy integrals of the Dirac Green function along the imaginary axis. With the present method of the vacuum polarization in finite system, the total binding energies and charge radii of 16O and 40Ca can be reproduced. On the other hand, the level-splittings in the single-particle level, in particular the spin-orbit splittings, are not described nicely because the inclusion of vacuum effect provides a large effective mass with small meson fields. We also show that the derivative expansion of the effective action which has been used to calculate the vacuum contribution for finite nuclei gives a fairly good approximation.
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"abstract": "We study the relativistic Hartree approach with the exact treatment of the\nvacuum polarization in the Walecka sigma-omega model. The contribution from the\nvacuum polarization of nucleon-antinucleon field to the source term of the\nmeson fields is evaluated by performing the energy integrals of the Dirac Green\nfunction along the imaginary axis. With the present method of the vacuum\npolarization in finite system, the total binding energies and charge radii of\n16O and 40Ca can be reproduced. On the other hand, the level-splittings in the\nsingle-particle level, in particular the spin-orbit splittings, are not\ndescribed nicely because the inclusion of vacuum effect provides a large\neffective mass with small meson fields. We also show that the derivative\nexpansion of the effective action which has been used to calculate the vacuum\ncontribution for finite nuclei gives a fairly good approximation.",
"arxiv_id": "nucl-th/0408069",
"authors": [
"Akihiro Haga",
"Setsuo Tamenaga",
"Hiroshi Toki",
"Yataro Horikawa"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.064322",
"journal_ref": "Phys.Rev. C70 (2004) 064322",
"title": "Relativistic Hartree approach with exact treatment of vacuum polarization for finite nuclei",
"url": "https://arxiv.org/abs/nucl-th/0408069"
},
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