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Bulletin of the Korean Chemical Society (BKCS)

ISSN 0253-2964(Print)
ISSN 1229-5949(Online)
Volume 30, Number 8
BKCSDE 30(8)
August 20, 2009 

 
Title
Multichannel Quantum Defect Theory Analysis of Overlapping Resonance Structures in Lu-Fano Plots of Rare Gas Spectra
Author
Chun Woo Lee*, Ja Hyun Kong
Keywords
MQDT, Overlapping resonance, Phase renormalization, Lu-Fano plot, Rare gas spectra
Abstract
Although overlapping resonances have been studied extensively in conventional resonance theories, there have not been many studies on them in multichannel quantum defect theories (MQDT). In MQDT, overlapping resonances occur between the channels instead of states, which pose far greater difficulty. Their systematic treatment was obtained for cases involving degenerate closed channels by applying our previous theory, which decouples background scattering from the resonance scattering in the MQDT formulation. The use of mathematical theory on con-diagonalization and con-similarity was essential for handling the non-Hermitian symmetric complex matrix. Overlapping resonances in rare gas spectra of Ar, Kr and Xe were analyzed using this theory and the results were compared with the ones of the previous alternative parameterizations of MQDT which make the open-open part Koo and closed-closed part Kcc of reactance submatrices zero. The comparison revealed that separation of background and resonance scatterings achieved in our formulation in a systematic way was not achieved in the representation of Koo = 0 and Kcc = 0 when overlapping resonances are present.
Page
1783 - 1792
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