Quantum Defect Theory description of weakly bound levels and Feshbach resonances in LiRb

Abstract

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 {\it et al.} Phys. Rev. A {\bf 79} 012717 (2009)]. 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 (CC). Here, energy levels deduced from 2-photon photoassociation 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 photoassociation observables as well as the Fano-Feshbach resonance positions and widths.

19 pages, 2 figures and 4 tables

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Cited by in corpus (5)

• Two-photon photoassociation spectroscopy of an ultracold heteronuclear molecule
• Short-range Photoassociation of LiRb
• Cross-dimensional relaxation of ${}^7$Li-${}^{87}$Rb atomic gas mixtures in a spherical-quadrupole magnetic trap
• Multichannel quantum defect theory with a frame transformation for ultracold atom-molecule collisions in magnetic fields
• Universality and threshold laws for collision lifetimes at ultralow temperatures