dorsal/arxiv
View SchemaSpectral Properties and Lifetimes of Neutral Spin-1/2-Fermions in a Magnetic Guide
| Authors | Igor Lesanovsky, Peter Schmelcher |
|---|---|
| Categories | |
| ArXiv ID | physics/0411079 |
| URL | https://arxiv.org/abs/physics/0411079 |
| DOI | 10.1103/PhysRevA.70.063604 |
| Journal | Physical Review A 70, 063604 (2004) |
Abstract
We investigate the resonant motion of neutral spin-1/2-fermions in a magnetic guide. A wealth of unitary and anti-unitary symmetries is revealed in particular giving rise to a two-fold degeneracy of the energy levels. To compute the energies and decay widths of a large number of resonances the complex scaling method is employed. We discuss the dependence of the lifetimes on the angular momentum of the resonance states. In this context the existence of so-called quasi-bound states is shown. In order to approximately calculate the resonance energies of such states a radial Schr\"odinger equation is derived which improves the well-known adiabatic approximation. The effects of an additionally applied homogeneous Ioffe field on the resonance energies and decay widths are also considered. The results are applied to the case of the $^6\text{Li}$ atom in the $F=1/2$ hyperfine ground state.
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"abstract": "We investigate the resonant motion of neutral spin-1/2-fermions in a magnetic\nguide. A wealth of unitary and anti-unitary symmetries is revealed in\nparticular giving rise to a two-fold degeneracy of the energy levels. To\ncompute the energies and decay widths of a large number of resonances the\ncomplex scaling method is employed. We discuss the dependence of the lifetimes\non the angular momentum of the resonance states. In this context the existence\nof so-called quasi-bound states is shown. In order to approximately calculate\nthe resonance energies of such states a radial Schr\\\"odinger equation is\nderived which improves the well-known adiabatic approximation. The effects of\nan additionally applied homogeneous Ioffe field on the resonance energies and\ndecay widths are also considered. The results are applied to the case of the\n$^6\\text{Li}$ atom in the $F=1/2$ hyperfine ground state.",
"arxiv_id": "physics/0411079",
"authors": [
"Igor Lesanovsky",
"Peter Schmelcher"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.70.063604",
"journal_ref": "Physical Review A 70, 063604 (2004)",
"title": "Spectral Properties and Lifetimes of Neutral Spin-1/2-Fermions in a Magnetic Guide",
"url": "https://arxiv.org/abs/physics/0411079"
},
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