dorsal/arxiv
View SchemaMicroscopic multicluster description of neutron-halo nuclei with a stochastic variational method
| Authors | K. Varga, Y. Suzuki, R. G. Lovas |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9306023 |
| URL | https://arxiv.org/abs/nucl-th/9306023 |
| DOI | 10.1016/0375-9474(94)90221-6 |
| Journal | Nucl.Phys. A571 (1994) 447-466 |
Abstract
To test a multicluster approach for halo nuclei, we give a unified description for the ground states of $^6$He and $^8$He in a model comprising an $\alpha$ cluster and single-neutron clusters. The intercluster wave function is taken a superposition of terms belonging to different arrangements, each defined by a set of Jacobi coordinates. Each term is then a superposition of products of gaussian functions of the individual Jacobi coordinates with different widths, projected to angular momenta $l=0$ or 1. To avoid excessively large dimensions and ``overcompleteness", stochastic methods were tested for selecting the gaussians spanning the basis. For $^6$He, we were able to calculate ground-state energies that are virtully exact within the subspace defined by the arrangements and $l$ values, and we found that preselected random sets of bases (with or without simulated annealing) yield excellent numerical convergence to this ``exact" value with thoroughly truncated bases. For $^8$He good energy convergence was achieved in a state space comprising three arrangements with all $l=0$, and there are indications showing that the contributions of other subspaces are likely to be small. The $^6$He and $^8$He energies are reproduced by the same effective force very well, and the matter radii obtained are similar to those of other sophisticated calculations.
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"abstract": "To test a multicluster approach for halo nuclei, we give a unified\ndescription for the ground states of $^6$He and $^8$He in a model comprising an\n$\\alpha$ cluster and single-neutron clusters. The intercluster wave function is\ntaken a superposition of terms belonging to different arrangements, each\ndefined by a set of Jacobi coordinates. Each term is then a superposition of\nproducts of gaussian functions of the individual Jacobi coordinates with\ndifferent widths, projected to angular momenta $l=0$ or 1. To avoid excessively\nlarge dimensions and ``overcompleteness\", stochastic methods were tested for\nselecting the gaussians spanning the basis. For $^6$He, we were able to\ncalculate ground-state energies that are virtully exact within the subspace\ndefined by the arrangements and $l$ values, and we found that preselected\nrandom sets of bases (with or without simulated annealing) yield excellent\nnumerical convergence to this ``exact\" value with thoroughly truncated bases.\nFor $^8$He good energy convergence was achieved in a state space comprising\nthree arrangements with all $l=0$, and there are indications showing that the\ncontributions of other subspaces are likely to be small. The $^6$He and $^8$He\nenergies are reproduced by the same effective force very well, and the matter\nradii obtained are similar to those of other sophisticated calculations.",
"arxiv_id": "nucl-th/9306023",
"authors": [
"K. Varga",
"Y. Suzuki",
"R. G. Lovas"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(94)90221-6",
"journal_ref": "Nucl.Phys. A571 (1994) 447-466",
"title": "Microscopic multicluster description of neutron-halo nuclei with a stochastic variational method",
"url": "https://arxiv.org/abs/nucl-th/9306023"
},
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