dorsal/arxiv
View SchemaSystematics of the first 2+ excitation with the Gogny interaction
| Authors | G. F. Bertsch, M. Girod, S. Hilaire, J. -P. Delaroche, H. Goutte, S. Pe'ru |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0701037 |
| URL | https://arxiv.org/abs/nucl-th/0701037 |
| DOI | 10.1103/PhysRevLett.99.032502 |
| Journal | Phys.Rev.Lett.99:032502,2007 |
Abstract
We examine the global performance of an extended self-consistent mean field theory of 2+ excitations in even-even nuclei. 518 nuclei are included in our survey, comprising all but 39 of the known nuclei tabulated by Raman et al. The theory is based on a quantal collective Hamiltonian in five dimensions in which the potential energy and the tensor of inertia are obtained from constrained triaxial Hartree-Fock-Bogoliubov calculations. The only parameters in theory are those of the finite-range, density-dependent Gogny D1S interaction. The following properties of the lowest 2+ excitations are calculated: excitation energy, reduced transition probability, and spectroscopic quadrupole moment. We find that the theory is very reliable to classify the nuclei by shape. Quantitatively the performance of the theory in deformed nuclei is excellent: average excitation energies and transition quadrupole moments are within 5% of the experimental values, and the dispersion about the averages are 20% and 10%, respectively. The performance is not as good on spherical and soft nuclei. Including all nuclei in the performance evaluation, the average transition quadrupole moment is 10% too high and the dispersion about the mean is 20%. For the energies, the average is 13% too high and the dispersion is 40%.
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"abstract": "We examine the global performance of an extended self-consistent mean field\ntheory of 2+ excitations in even-even nuclei. 518 nuclei are included in our\nsurvey, comprising all but 39 of the known nuclei tabulated by Raman et al. The\ntheory is based on a quantal collective Hamiltonian in five dimensions in which\nthe potential energy and the tensor of inertia are obtained from constrained\ntriaxial Hartree-Fock-Bogoliubov calculations. The only parameters in theory\nare those of the finite-range, density-dependent Gogny D1S interaction. The\nfollowing properties of the lowest 2+ excitations are calculated: excitation\nenergy, reduced transition probability, and spectroscopic quadrupole moment. We\nfind that the theory is very reliable to classify the nuclei by shape.\nQuantitatively the performance of the theory in deformed nuclei is excellent:\naverage excitation energies and transition quadrupole moments are within 5% of\nthe experimental values, and the dispersion about the averages are 20% and 10%,\nrespectively. The performance is not as good on spherical and soft nuclei.\nIncluding all nuclei in the performance evaluation, the average transition\nquadrupole moment is 10% too high and the dispersion about the mean is 20%. For\nthe energies, the average is 13% too high and the dispersion is 40%.",
"arxiv_id": "nucl-th/0701037",
"authors": [
"G. F. Bertsch",
"M. Girod",
"S. Hilaire",
"J. -P. Delaroche",
"H. Goutte",
"S. Pe\u0027ru"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevLett.99.032502",
"journal_ref": "Phys.Rev.Lett.99:032502,2007",
"title": "Systematics of the first 2+ excitation with the Gogny interaction",
"url": "https://arxiv.org/abs/nucl-th/0701037"
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