dorsal/arxiv
View SchemaNuclear Structure based on Correlated Realistic Nucleon-Nucleon Potentials
| Authors | R. Roth, T. Neff, H. Hergert, H. Feldmeier |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0406021 |
| URL | https://arxiv.org/abs/nucl-th/0406021 |
| DOI | 10.1016/j.nuclphysa.2004.08.024 |
| Journal | Nucl.Phys. A745 (2004) 3-33 |
Abstract
We present a novel scheme for nuclear structure calculations based on realistic nucleon-nucleon potentials. The essential ingredient is the explicit treatment of the dominant interaction-induced correlations by means of the Unitary Correlation Operator Method (UCOM). Short-range central and tensor correlations are imprinted into simple, uncorrelated many-body states through a state-independent unitary transformation. Applying the unitary transformation to the realistic Hamiltonian leads to a correlated, low-momentum interaction, well suited for all kinds of many-body models, e.g., Hartree-Fock or shell-model. We employ the correlated interaction, supplemented by a phenomenological correction to account for genuine three-body forces, in the framework of variational calculations with antisymmetrised Gaussian trial states (Fermionic Molecular Dynamics). Ground state properties of nuclei up to mass numbers A<~60 are discussed. Binding energies, charge radii, and charge distributions are in good agreement with experimental data. We perform angular momentum projections of the intrinsically deformed variational states to extract rotational spectra.
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"abstract": "We present a novel scheme for nuclear structure calculations based on\nrealistic nucleon-nucleon potentials. The essential ingredient is the explicit\ntreatment of the dominant interaction-induced correlations by means of the\nUnitary Correlation Operator Method (UCOM). Short-range central and tensor\ncorrelations are imprinted into simple, uncorrelated many-body states through a\nstate-independent unitary transformation. Applying the unitary transformation\nto the realistic Hamiltonian leads to a correlated, low-momentum interaction,\nwell suited for all kinds of many-body models, e.g., Hartree-Fock or\nshell-model. We employ the correlated interaction, supplemented by a\nphenomenological correction to account for genuine three-body forces, in the\nframework of variational calculations with antisymmetrised Gaussian trial\nstates (Fermionic Molecular Dynamics). Ground state properties of nuclei up to\nmass numbers A\u003c~60 are discussed. Binding energies, charge radii, and charge\ndistributions are in good agreement with experimental data. We perform angular\nmomentum projections of the intrinsically deformed variational states to\nextract rotational spectra.",
"arxiv_id": "nucl-th/0406021",
"authors": [
"R. Roth",
"T. Neff",
"H. Hergert",
"H. Feldmeier"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2004.08.024",
"journal_ref": "Nucl.Phys. A745 (2004) 3-33",
"title": "Nuclear Structure based on Correlated Realistic Nucleon-Nucleon Potentials",
"url": "https://arxiv.org/abs/nucl-th/0406021"
},
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