dorsal/arxiv
View SchemaStructure of the mirror nuclei $^9$Be and $^9$B in a microscopic cluster model
| Authors | K. Arai, Y. Ogawa, Y. Suzuki, K. Varga |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9604009 |
| URL | https://arxiv.org/abs/nucl-th/9604009 |
| DOI | 10.1103/PhysRevC.54.132 |
| Journal | Phys.Rev.C54:132-146,1996 |
Abstract
The structure of the mirror nuclei $^9$Be and $^9$B is studied in a microscopic $\alpha+ \alpha+ n$ and $\alpha+ \alpha+ p$ three-cluster model using a fully antisymmetrized 9-nucleon wave function. The two-nucleon interaction includes central and spin-orbit components and the Coulomb potential. The ground state of $^9$Be is obtained accurately with the stochastic variational method, while several particle-unbound states of both $^9$Be and $^9$B are investigated with the complex scaling method.The calculation for $^9$Be supports the recent identification for the existence of two broad states around 6.5 MeV, and predicts the $\frac{3}{2}^{-}_2$ and $\frac{5}{2}^{-}_2$ states at about 4.5 MeV and 8 MeV, respectively. The similarity of the calculated spectra of $^9$Be and $^9$B enables one to identify unknown spins and parities of the $^9$B states. Available data on electromagnetic moments and elastic electron scatterings are reproduced very well. The enhancement of the $E$1 transition of the first excited state in $^9$Be is well accounted for. The calculated density of $^9$Be is found to reproduce the reaction cross section on a Carbon target. The analysis of the beta decay of $^9$Li to $^9$Be clearly shows that the wave function of $^9$Be must contain a small component that cannot be described by the simple $\alpha+ \alpha+ n$ model. This small component can be well accounted for by extending a configuration space to include the distortion of the $\alpha$-particle to $t+p$ and $h+n$ partitions.
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"abstract": "The structure of the mirror nuclei $^9$Be and $^9$B is studied in a\nmicroscopic $\\alpha+ \\alpha+ n$ and $\\alpha+ \\alpha+ p$ three-cluster model\nusing a fully antisymmetrized 9-nucleon wave function. The two-nucleon\ninteraction includes central and spin-orbit components and the Coulomb\npotential. The ground state of $^9$Be is obtained accurately with the\nstochastic variational method, while several particle-unbound states of both\n$^9$Be and $^9$B are investigated with the complex scaling method.The\ncalculation for $^9$Be supports the recent identification for the existence of\ntwo broad states around 6.5 MeV, and predicts the $\\frac{3}{2}^{-}_2$ and\n$\\frac{5}{2}^{-}_2$ states at about 4.5 MeV and 8 MeV, respectively. The\nsimilarity of the calculated spectra of $^9$Be and $^9$B enables one to\nidentify unknown spins and parities of the $^9$B states. Available data on\nelectromagnetic moments and elastic electron scatterings are reproduced very\nwell. The enhancement of the $E$1 transition of the first excited state in\n$^9$Be is well accounted for. The calculated density of $^9$Be is found to\nreproduce the reaction cross section on a Carbon target. The analysis of the\nbeta decay of $^9$Li to $^9$Be clearly shows that the wave function of $^9$Be\nmust contain a small component that cannot be described by the simple $\\alpha+\n\\alpha+ n$ model. This small component can be well accounted for by extending a\nconfiguration space to include the distortion of the $\\alpha$-particle to $t+p$\nand $h+n$ partitions.",
"arxiv_id": "nucl-th/9604009",
"authors": [
"K. Arai",
"Y. Ogawa",
"Y. Suzuki",
"K. Varga"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.54.132",
"journal_ref": "Phys.Rev.C54:132-146,1996",
"title": "Structure of the mirror nuclei $^9$Be and $^9$B in a microscopic cluster model",
"url": "https://arxiv.org/abs/nucl-th/9604009"
},
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