dorsal/arxiv
View SchemaGenerator Coordinate Truncations
| Authors | K. Hagino, G. F. Bertsch, P. -G. Reinhard |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0304059 |
| URL | https://arxiv.org/abs/nucl-th/0304059 |
| DOI | 10.1103/PhysRevC.68.024306 |
Abstract
We investigate the accuracy of several schemes to calculate ground-state correlation energies using the generator coordinate technique. Our test-bed for the study is the $sd$ interacting boson model, equivalent to a 6-level Lipkin-type model. We find that the simplified projection of a triaxial generator coordinate state using the $S_3$ subgroup of the rotation group is not very accurate in the parameter space of the Hamiltonian of interest. On the other hand, a full rotational projection of an axial generator coordinate state gives remarkable accuracy. We also discuss the validity of the simplified treatment using the extended Gaussian overlap approximation (top-GOA), and show that it works reasonably well when the number of boson is four or larger.
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"abstract": "We investigate the accuracy of several schemes to calculate ground-state\ncorrelation energies using the generator coordinate technique. Our test-bed for\nthe study is the $sd$ interacting boson model, equivalent to a 6-level\nLipkin-type model. We find that the simplified projection of a triaxial\ngenerator coordinate state using the $S_3$ subgroup of the rotation group is\nnot very accurate in the parameter space of the Hamiltonian of interest. On the\nother hand, a full rotational projection of an axial generator coordinate state\ngives remarkable accuracy. We also discuss the validity of the simplified\ntreatment using the extended Gaussian overlap approximation (top-GOA), and show\nthat it works reasonably well when the number of boson is four or larger.",
"arxiv_id": "nucl-th/0304059",
"authors": [
"K. Hagino",
"G. F. Bertsch",
"P. -G. Reinhard"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.68.024306",
"title": "Generator Coordinate Truncations",
"url": "https://arxiv.org/abs/nucl-th/0304059"
},
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