dorsal/arxiv
View SchemaA unitary correlation operator method
| Authors | H. Feldmeier, T. Neff, R. Roth, J. Schnack |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9709038 |
| URL | https://arxiv.org/abs/nucl-th/9709038 |
| DOI | 10.1016/S0375-9474(97)00805-1 |
| Journal | Nucl.Phys. A632 (1998) 61-95 |
Abstract
The short range repulsion between nucleons is treated by a unitary correlation operator which shifts the nucleons away from each other whenever their uncorrelated positions are within the replusive core. By formulating the correlation as a transformation of the relative distance between particle pairs, general analytic expressions for the correlated wave functions and correlated operators are given. The decomposition of correlated operators into irreducible n-body operators is discussed. The one- and two-body-irreducible parts are worked out explicitly and the contribution of three-body correlations is estimated to check convergence. Ground state energies of nuclei up to mass number A=48 are calculated with a spin-isospin-dependent potential and single Slater determinants as uncorrelated states. They show that the deduced energy- and mass-number-independent correlated two-body Hamiltonian reproduces all "exact" many-body calculations surprisingly well.
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"abstract": "The short range repulsion between nucleons is treated by a unitary\ncorrelation operator which shifts the nucleons away from each other whenever\ntheir uncorrelated positions are within the replusive core. By formulating the\ncorrelation as a transformation of the relative distance between particle\npairs, general analytic expressions for the correlated wave functions and\ncorrelated operators are given. The decomposition of correlated operators into\nirreducible n-body operators is discussed. The one- and two-body-irreducible\nparts are worked out explicitly and the contribution of three-body correlations\nis estimated to check convergence. Ground state energies of nuclei up to mass\nnumber A=48 are calculated with a spin-isospin-dependent potential and single\nSlater determinants as uncorrelated states. They show that the deduced energy-\nand mass-number-independent correlated two-body Hamiltonian reproduces all\n\"exact\" many-body calculations surprisingly well.",
"arxiv_id": "nucl-th/9709038",
"authors": [
"H. Feldmeier",
"T. Neff",
"R. Roth",
"J. Schnack"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(97)00805-1",
"journal_ref": "Nucl.Phys. A632 (1998) 61-95",
"title": "A unitary correlation operator method",
"url": "https://arxiv.org/abs/nucl-th/9709038"
},
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