Three-State Feshbach Resonances Mediated By Second-Order Couplings
| dc.creator | Hemming, Christopher J. | |
| dc.creator | Krems, Roman V. | |
| dc.date | 2007-08-20 | |
| dc.date | 2008-02-21 | |
| dc.date.accessioned | 2026-07-07T09:21:50Z | |
| dc.date.available | 2026-07-07T09:21:50Z | |
| dc.description | We present an analytical study of three-state Feshbach resonances induced by second-order couplings. Such resonances arise when the scattering amplitude is modified by the interaction with a bound state that is not directly coupled to the scattering state containing incoming flux. Coupling occurs indirectly through an intermediate state. We consider two problems: (i) the intermediate state is a scattering state in a distinct open channel; (ii) the intermediate state is an off-resonant bound state in a distinct closed channel. The first problem is a model of electric-field-induced resonances in ultracold collisions of alkali metal atoms [Phys. Rev. A 75, 032709 (2007)] and the second problem is relevant for ultracold collisions of complex polyatomic molecules, chemical reaction dynamics, photoassociation of ultracold atoms, and electron - molecule scattering. Our analysis yields general expressions for the energy dependence of the T-matrix elements modified by three-state resonances and the dependence of the resonance positions and widths on coupling amplitudes for the weak-coupling limit. We show that the second problem can be generalized to describe resonances induced by indirect coupling through an arbitrary number of sequentially coupled off-resonant bound states and analyze the dependence of the resonance width on the number of the intermediate states. | |
| dc.description | 27 pages, 4 figures; added a reference; journal reference/DOI refer to final published version, which is a shortened and modified version of this preprint | |
| dc.identifier | https://arxiv.org/abs/0708.2638 | |
| dc.identifier | http://arxiv.org/abs/0708.2638 | |
| dc.identifier | Phys. Rev. A 77, 022705 (2008) | |
| dc.identifier | doi:10.1103/PhysRevA.77.022705 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155170 | |
| dc.subject | Atomic Physics | |
| dc.subject | Chemical Physics | |
| dc.title | Three-State Feshbach Resonances Mediated By Second-Order Couplings | |
| dc.type | text |