dorsal/arxiv
View SchemaGround State Wave Functions in the Hyperspherical Formalism for Nuclei with A > 4
| Authors | Nir Barnea, Winfried Leidemann, Giuseppina Orlandini |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9808046 |
| URL | https://arxiv.org/abs/nucl-th/9808046 |
| DOI | 10.1016/S0375-9474(99)00113-X |
| Journal | Nucl.Phys. A650 (1999) 427-442 |
Abstract
The general formulation of a technically advantageous method to find the ground state solution of the Schrodinger equation in configuration space for systems with a number of particles A greater than 4 is presented. The wave function is expanded in pair correlated hyperspherical harmonics beyond the lowest order approximation and then calculated in the Faddeev approach. A recent efficient recursive method to construct antisymmetric A-particle hyperspherical harmonics is used. The accuracy is tested for the bound state energies of nuclei with A = 6,8,12. The high quality of the obtained results becomes evident from a comparison with other approaches.
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"abstract": "The general formulation of a technically advantageous method to find the\nground state solution of the Schrodinger equation in configuration space for\nsystems with a number of particles A greater than 4 is presented. The wave\nfunction is expanded in pair correlated hyperspherical harmonics beyond the\nlowest order approximation and then calculated in the Faddeev approach. A\nrecent efficient recursive method to construct antisymmetric A-particle\nhyperspherical harmonics is used. The accuracy is tested for the bound state\nenergies of nuclei with A = 6,8,12. The high quality of the obtained results\nbecomes evident from a comparison with other approaches.",
"arxiv_id": "nucl-th/9808046",
"authors": [
"Nir Barnea",
"Winfried Leidemann",
"Giuseppina Orlandini"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00113-X",
"journal_ref": "Nucl.Phys. A650 (1999) 427-442",
"title": "Ground State Wave Functions in the Hyperspherical Formalism for Nuclei with A \u003e 4",
"url": "https://arxiv.org/abs/nucl-th/9808046"
},
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