dorsal/arxiv
View SchemaComparative variational studies of $0^+$ states in three-$\alpha$ models
| Authors | E. M. Tursunov, D. Baye, P. Descouvemont |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0501058 |
| URL | https://arxiv.org/abs/nucl-th/0501058 |
| DOI | 10.1016/S0375-9474(03)01323-X |
| Journal | Nucl.Phys. A723 (2003) 365-374 |
Abstract
Three variational approaches, the hyperspherical-harmonics, Gaussian-basis and Lagrange-mesh methods involving different coordinate systems, are compared in studies of $0^+$ bound-state energies in 3$\alpha$ models. Calculations are performed with different versions of the shallow Ali-Bodmer potential (with and without Coulomb) and with the deep Buck-Friedrich-Wheatley potential. All three methods yield very accurate energies. Their advantages and drawbacks are evaluated. The implications of the disagreement between the obtained results and the experimental $^{12}$C energies in $3\alpha$ models with Coulomb interaction are discussed.
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"abstract": "Three variational approaches, the hyperspherical-harmonics, Gaussian-basis\nand Lagrange-mesh methods involving different coordinate systems, are compared\nin studies of $0^+$ bound-state energies in 3$\\alpha$ models. Calculations are\nperformed with different versions of the shallow Ali-Bodmer potential (with and\nwithout Coulomb) and with the deep Buck-Friedrich-Wheatley potential. All three\nmethods yield very accurate energies. Their advantages and drawbacks are\nevaluated. The implications of the disagreement between the obtained results\nand the experimental $^{12}$C energies in $3\\alpha$ models with Coulomb\ninteraction are discussed.",
"arxiv_id": "nucl-th/0501058",
"authors": [
"E. M. Tursunov",
"D. Baye",
"P. Descouvemont"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(03)01323-X",
"journal_ref": "Nucl.Phys. A723 (2003) 365-374",
"title": "Comparative variational studies of $0^+$ states in three-$\\alpha$ models",
"url": "https://arxiv.org/abs/nucl-th/0501058"
},
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