dorsal/arxiv
View SchemaSpin distribution of nuclear levels using static path approximation with random-phase approximation
| Authors | K. Kaneko, A. Schiller |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0703016 |
| URL | https://arxiv.org/abs/nucl-th/0703016 |
| DOI | 10.1103/PhysRevC.75.044304 |
| Journal | Phys.Rev.C75:044304,2007 |
Abstract
We present a thermal and quantum-mechanical treatment of nuclear rotation using the formalism of static path approximation (SPA) plus random-phase approximation (RPA). Naive perturbation theory fails because of the presence of zero-frequency modes due to dynamical symmetry breaking. Such modes lead to infrared divergences. We show that composite zero-frequency excitations are properly treated within the collective coordinate method. The resulting perturbation theory is free from infrared divergences. Without the assumption of individual random spin vectors, we derive microscopically the spin distribution of the level density. The moment of inertia is thereby related to the spin-cutoff parameter in the usual way. Explicit calculations are performed for 56^Fe; various thermal properties are discussed. In particular, we demonstrate that the increase of the moment of inertia with increasing temperature is correlated with the suppression of pairing correlations.
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"abstract": "We present a thermal and quantum-mechanical treatment of nuclear rotation\nusing the formalism of static path approximation (SPA) plus random-phase\napproximation (RPA). Naive perturbation theory fails because of the presence of\nzero-frequency modes due to dynamical symmetry breaking. Such modes lead to\ninfrared divergences. We show that composite zero-frequency excitations are\nproperly treated within the collective coordinate method. The resulting\nperturbation theory is free from infrared divergences. Without the assumption\nof individual random spin vectors, we derive microscopically the spin\ndistribution of the level density. The moment of inertia is thereby related to\nthe spin-cutoff parameter in the usual way. Explicit calculations are performed\nfor 56^Fe; various thermal properties are discussed. In particular, we\ndemonstrate that the increase of the moment of inertia with increasing\ntemperature is correlated with the suppression of pairing correlations.",
"arxiv_id": "nucl-th/0703016",
"authors": [
"K. Kaneko",
"A. Schiller"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.044304",
"journal_ref": "Phys.Rev.C75:044304,2007",
"title": "Spin distribution of nuclear levels using static path approximation with random-phase approximation",
"url": "https://arxiv.org/abs/nucl-th/0703016"
},
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