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Bulletin of the American Physical Society

Multichannel quantum defect theory model of Feshbach resonances

Thomas M. Hanna, Eite Tiesinga, Paul S. Julienne

Published Mar 18, 2009• 0 citations
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The multichannel quantum defect theory (MQDT) in combination with the frame transformation (FT) approach is applied to model the Fano–Feshbach resonances measured for 7 Li 87 Rb and 6 Li 87 Rb Marzok et al (2009 Phys. Rev. A 79 012717 ). The MQDT results show a level of accuracy comparable to that of previous models based on direct, fully numerical solutions of the the coupled channel Schrödinger equations. Here, energy levels deduced from 2-photon photoassociation (PA) spectra for 7 Li 85 Rb are assigned by applying the MQDT approach, obtaining the bound state energies for the coupled channel problem. Our results confirm that MQDT yields a compact description of PA observables as well as the Fano–Feshbach resonance positions and widths.

arXiv:1412.4295•New Journal of Physics•Apr 27, 2015•7 citations
The multichannel quantum defect theory (MQDT) in combination with the frame transformation (FT) approach is applied to model the Fano–Feshbach resonances measured for 7 Li 87 Rb and 6 Li 87 Rb Marzok et al (2009 Phys. Rev. A 79 012717 ). The MQDT results show a level of accuracy comparable to that of previous models based on direct, fully numerical solutions of the the coupled channel Schrödinger equations. Here, energy levels deduced from 2-photon photoassociation (PA) spectra for 7 Li 85 Rb are assigned by applying the MQDT approach, obtaining the bound state energies for the coupled channel problem. Our results confirm that MQDT yields a compact description of PA observables as well as the Fano–Feshbach resonance positions and widths.