dorsal/arxiv
View SchemaRealistic effective interactions for halo nuclei
| Authors | T. T. S. Kuo, H. Müther, K. Amir-Azimi-Nili |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9603045 |
| URL | https://arxiv.org/abs/nucl-th/9603045 |
| DOI | 10.1016/0375-9474(96)00205-9 |
| Journal | Nucl.Phys. A606 (1996) 15-26; Erratum-ibid. A611 (1996) 587 |
Abstract
We study halo nuclei using a two-frequency shell-model approach employing wave functions of two different oscillator constants $\hbar\omega_{in}$ and $\hbar\omega_{out}$, the former for the inner orbits and the latter for the halo (outer) orbits. An initial application has been made for the halo nuclei $^6$He and $^6$Li, with $0s_{1/2}$ taken as the inner and ( $0p_{3/2}$, $0p_{1/2}$) as the halo orbits. Starting from the Paris NN interaction, we have derived a G-matrix folded-diagram effective interaction for this two-frequency model space, using an essentially exact treatment for the Pauli exclusion operator for the G-matrix. While keeping $\hbar\omega_{in}$ fixed, we have performed calculations with different choices for $\hbar\omega_{out}$, treating it as a variation parameter. For $\hbar\omega_{in}=19.7 MeV$ and $\hbar\omega_{out}=8.2 MeV$, our calculated valence energies for $^6$He and $^6$Li are -2.77 and -3.55 Mev, respectively, both in good agreement with experiments. The importance of certain three-body-force diagrams is discussed.
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"abstract": "We study halo nuclei using a two-frequency shell-model approach employing\nwave functions of two different oscillator constants $\\hbar\\omega_{in}$ and\n$\\hbar\\omega_{out}$, the former for the inner orbits and the latter for the\nhalo (outer) orbits. An initial application has been made for the halo nuclei\n$^6$He and $^6$Li, with $0s_{1/2}$ taken as the inner and ( $0p_{3/2}$,\n$0p_{1/2}$) as the halo orbits. Starting from the Paris NN interaction, we have\nderived a G-matrix folded-diagram effective interaction for this two-frequency\nmodel space, using an essentially exact treatment for the Pauli exclusion\noperator for the G-matrix. While keeping $\\hbar\\omega_{in}$ fixed, we have\nperformed calculations with different choices for $\\hbar\\omega_{out}$, treating\nit as a variation parameter. For $\\hbar\\omega_{in}=19.7 MeV$ and\n$\\hbar\\omega_{out}=8.2 MeV$, our calculated valence energies for $^6$He and\n$^6$Li are -2.77 and -3.55 Mev, respectively, both in good agreement with\nexperiments. The importance of certain three-body-force diagrams is discussed.",
"arxiv_id": "nucl-th/9603045",
"authors": [
"T. T. S. Kuo",
"H. M\u00fcther",
"K. Amir-Azimi-Nili"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(96)00205-9",
"journal_ref": "Nucl.Phys. A606 (1996) 15-26; Erratum-ibid. A611 (1996) 587",
"title": "Realistic effective interactions for halo nuclei",
"url": "https://arxiv.org/abs/nucl-th/9603045"
},
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