dorsal/arxiv
View SchemaQuantum Phase Transitions in the U(5)-O(6) Large N limit
| Authors | Feng Pan, Yu Zhang, J. P. Draayer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0503071 |
| URL | https://arxiv.org/abs/nucl-th/0503071 |
| DOI | 10.1016/j.physleta.2005.04.086 |
| Journal | Phys.Lett. A341 (2005) 291-296; J.Phys. G31 (2005) 1039-1044 |
Abstract
The U(5)-O(6) transitional behavior of the Interacting Boson Model in the large N limit is revisited. Some low-lying energy levels, overlaps of the ground state wavefunctions, B(E2) transition rate for the decay of the first excited energy level to the ground state, and the order parameters are calculated for different total numbers of bosons. The results show that critical behaviors of these quantities are greatly enhanced with increasing of the total number of bosons N, especially fractional occupation probability for d bosons in the ground state, the difference between the expectation value of n_d in the first excited 0^+ state and the ground state, and another quantity related to the isomer shift behave similarly in both the O(6)-U(5) large N and U(5)-SU(3) phase transitions.
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"abstract": "The U(5)-O(6) transitional behavior of the Interacting Boson Model in the\nlarge N limit is revisited. Some low-lying energy levels, overlaps of the\nground state wavefunctions, B(E2) transition rate for the decay of the first\nexcited energy level to the ground state, and the order parameters are\ncalculated for different total numbers of bosons. The results show that\ncritical behaviors of these quantities are greatly enhanced with increasing of\nthe total number of bosons N, especially fractional occupation probability for\nd bosons in the ground state, the difference between the expectation value of\nn_d in the first excited 0^+ state and the ground state, and another quantity\nrelated to the isomer shift behave similarly in both the O(6)-U(5) large N and\nU(5)-SU(3) phase transitions.",
"arxiv_id": "nucl-th/0503071",
"authors": [
"Feng Pan",
"Yu Zhang",
"J. P. Draayer"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.physleta.2005.04.086",
"journal_ref": "Phys.Lett. A341 (2005) 291-296; J.Phys. G31 (2005) 1039-1044",
"title": "Quantum Phase Transitions in the U(5)-O(6) Large N limit",
"url": "https://arxiv.org/abs/nucl-th/0503071"
},
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