dorsal/arxiv
View SchemaConnecting the X(5)-$\beta^2$, X(5)-$\beta^4$, and X(3) models to the shape/phase transition region of the interacting boson model
| Authors | E. A. McCutchan, Dennis Bonatsos, N. V. Zamfir |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0607048 |
| URL | https://arxiv.org/abs/nucl-th/0607048 |
| DOI | 10.1103/PhysRevC.74.034306 |
| Journal | Phys.Rev. C74 (2006) 034306 |
Abstract
The parameter independent (up to overall scale factors) predictions of the X(5)-$\beta^2$, X(5)-$\beta^4$, and X(3) models, which are variants of the X(5) critical point symmetry developed within the framework of the geometric collective model, are compared to two-parameter calculations in the framework of the interacting boson approximation (IBA) model. The results show that these geometric models coincide with IBA parameters consistent with the phase/shape transition region of the IBA for boson numbers of physical interest (close to 10). Nuclei within the rare-earth region and select Os and Pt isotopes are identified as good examples of X(3), X(5)-$\beta^2$, and X(5)-$\beta^4$ behavior.
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"abstract": "The parameter independent (up to overall scale factors) predictions of the\nX(5)-$\\beta^2$, X(5)-$\\beta^4$, and X(3) models, which are variants of the X(5)\ncritical point symmetry developed within the framework of the geometric\ncollective model, are compared to two-parameter calculations in the framework\nof the interacting boson approximation (IBA) model. The results show that these\ngeometric models coincide with IBA parameters consistent with the phase/shape\ntransition region of the IBA for boson numbers of physical interest (close to\n10). Nuclei within the rare-earth region and select Os and Pt isotopes are\nidentified as good examples of X(3), X(5)-$\\beta^2$, and X(5)-$\\beta^4$\nbehavior.",
"arxiv_id": "nucl-th/0607048",
"authors": [
"E. A. McCutchan",
"Dennis Bonatsos",
"N. V. Zamfir"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.034306",
"journal_ref": "Phys.Rev. C74 (2006) 034306",
"title": "Connecting the X(5)-$\\beta^2$, X(5)-$\\beta^4$, and X(3) models to the shape/phase transition region of the interacting boson model",
"url": "https://arxiv.org/abs/nucl-th/0607048"
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