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Quantum Defect Theory for High Partial Wave Cold Collisions

Atomic Physics 2015-06-12 v1 Quantum Gases

Abstract

We extend Multichannel Quantum Defect Theory (MQDT) to ultracold collisions involving high partial wave quantum numbers LL. This requires a careful standardization of the MQDT reference wave functions at long range to ensure their linear independence. To illustrate the simplicity and accuracy of the resulting theory, we perform a comprehensive calculation of L2L\le 2 Fano-Feshbach resonances in the range 0-1000 G for the scattering of 40^{40}K + 87^{87}Rb in their lowest hyperfine states.

Keywords

Cite

@article{arxiv.1301.1370,
  title  = {Quantum Defect Theory for High Partial Wave Cold Collisions},
  author = {Brandon P. Ruzic and Chris H. Greene and John L. Bohn},
  journal= {arXiv preprint arXiv:1301.1370},
  year   = {2015}
}
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