dorsal/arxiv
View SchemaEnergy Systematics of Low-lying Collective States within the Framework of the Interacting Vector Boson Model
| Authors | H. G. Ganev, V. P. Garistov, A. I. Georgieva, J. P. Draayer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407076 |
| URL | https://arxiv.org/abs/nucl-th/0407076 |
| DOI | 10.1103/PhysRevC.70.054317 |
| Journal | Phys.Rev. C70 (2004) 054317 |
Abstract
In a new application of the algebraic Interacting Vector Boson Model (IVBM), we exploit the reduction of its Sp(12,R) dynamical symmetry group to Sp(4,R) x SO(3), which defines basis states with fixed values of the angular momentum L. The relationship of the latter to $U(6) \subset U(3)x U(2), which is the rotational limit of the model, means the energy distribution of collective states with fixed angular momentum can be studied. Results for low-lying spectra of rare-earth nuclei show that the energies of collective positive parity states with L=0,2,4,6... lie on second order curves with respect to the number of collective phonons n or vector bosons N=4n out of which the states are built. The analysis of this behavior leads to insight regarding the common nature of collective states, tracking vibrational as well as rotational features.
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"abstract": "In a new application of the algebraic Interacting Vector Boson Model (IVBM),\nwe exploit the reduction of its Sp(12,R) dynamical symmetry group to Sp(4,R) x\nSO(3), which defines basis states with fixed values of the angular momentum L.\nThe relationship of the latter to $U(6) \\subset U(3)x U(2), which is the\nrotational limit of the model, means the energy distribution of collective\nstates with fixed angular momentum can be studied. Results for low-lying\nspectra of rare-earth nuclei show that the energies of collective positive\nparity states with L=0,2,4,6... lie on second order curves with respect to the\nnumber of collective phonons n or vector bosons N=4n out of which the states\nare built. The analysis of this behavior leads to insight regarding the common\nnature of collective states, tracking vibrational as well as rotational\nfeatures.",
"arxiv_id": "nucl-th/0407076",
"authors": [
"H. G. Ganev",
"V. P. Garistov",
"A. I. Georgieva",
"J. P. Draayer"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.054317",
"journal_ref": "Phys.Rev. C70 (2004) 054317",
"title": "Energy Systematics of Low-lying Collective States within the Framework of the Interacting Vector Boson Model",
"url": "https://arxiv.org/abs/nucl-th/0407076"
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