Bulletin of the Korean Chemical Society

Korean Chemical Society (대한화학회)
권호 표지
DOI QR코드

DOI QR Code

Decoupling of Background and Resonance Scatterings in Multichannel Quantum Defect Theory and Extraction of Dynamic Parameters from Lu-Fano Plot

  • Published : 2009.04.20
Download PDF
⟨ Previous Next ⟩

Abstract

Giusti-Suzor and Fano introduced translations of the scales of Lu-Fano plots by phase renormalization in order to decouple the intra- and inter-channel couplings in multichannel quantum defect theory (MQDT). Their theory was further developed by others to deal with systems involving a larger number of channels. In different directions, MQDT was reformulated into forms with a one-to-one correspondence to those in Fano's configuration mixing theory of resonance for photofragmentation processes involving one closed and many open channels. In this study, the theory was further developed to fully reveal the coupling nature, decoupling of the background and resonance scattering in physical scattering matrices as well as to further extract the dynamic parameters undiscovered by Fano and his colleagues. This theory was applied to the photoabsorption spectrum of $H_2$ observed by Herzberg's group.

Keywords

References

  1. Seaton, M. J. Rep. Prog. Phys. 1983, 46, 167 https://doi.org/10.1088/0034-4885/46/2/002
  2. Fano, U.; Rau, A. R. P. Atomic Collisions and Spectra; Academic: Orlando, U.S.A., 1986
  3. Baig, M. A. Phys. Rev. 2009, A79, 012509.
  4. Giusti-Suzor, A.; Fano, U. J. Phys. 1984, B17, 215.
  5. Dubau, J.; Seaton, M. J. J. Phys. 1984, B17, 381.
  6. Eissner, W.; Seaton, M. J. J. Phys. 1969, B2, 341.
  7. Lecomte, J. M. J. Phys. 1987, B20, 3645.
  8. Cooke, W. E.; Cromer, C. L. Phys. Rev. 1985, A32, 2725
  9. Ueda, K. Phys. Rev. 1987, A35, 2484
  10. Giusti-Suzor, A.; Lefebvre-Brion, H. Phys. Rev. 1984, A30, 3057
  11. Wintgen, D.; Friedrich, H. Phys. Rev. 1987, A35, 1628
  12. Cohen, S. Eur. Phys. J. 1998, D4, 31.
  13. Lee, C.-W. Phys. Rev. 2002, A66, 052704.
  14. Lee, C.-W. Bull. Korean Chem. Soc. 2002, 23, 971 https://doi.org/10.5012/bkcs.2002.23.7.971
  15. Lee, C.-W.; Kim, J.-H. Bull. Korean Chem. Soc. 2002, 23, 1560 https://doi.org/10.5012/bkcs.2002.23.11.1560
  16. Lee, C.-W. Physics Essays 2000, 13, 206. https://doi.org/10.4006/1.3028813
  17. Giusti-Suzor, A.; Fano, U. J. Phys. 1984, B17, 215.
  18. Herzberg, G.; Jungen, Ch. J. Molec. Spectrosc. 1972, 41, 425. https://doi.org/10.1016/0022-2852(72)90064-1
  19. Greene, C. H.; Rau, A. R. P.; Fano, U. Phys. Rev. 1982, A26, 2441.
  20. Taylor, J. R. Scattering Theory; John Wiley and Sons: New York, U.S.A., 1972; p 411.

Cited by

  1. Effect of Open Channels on the Isolation of Overlapping Resonances in the Uniformly Perturbed Rydberg Systems Studied by Multichannel Quantum Defect Theory vol.32, pp.5, 2011, https://doi.org/10.5012/bkcs.2011.32.5.1519
  2. Study of the Resonance Structures of the Preionizing Spectrum of Molecular Hydrogen by Phase-shifted Multichannel Quantum Defect Theory vol.33, pp.3, 2012, https://doi.org/10.5012/bkcs.2012.33.3.809
  3. Study of the Resonance Structures of the Preionizing Spectrum of Molecular Hydrogen by Phase-Shifted Multichannel Quantum Defect Theory II vol.33, pp.8, 2012, https://doi.org/10.5012/bkcs.2012.33.8.2657
  4. Inter-Series Interactions on the Atomic Photoionization Spectra Studied by the Phase-Shifted Multichannel-Quantum Defect Theory vol.5, pp.2, 2017, https://doi.org/10.3390/atoms5020021
  5. Multichannel Quantum Defect Theory Analysis of Overlapping Resonance Structures in Lu-Fano Plots of Rare Gas Spectra vol.30, pp.8, 2009, https://doi.org/10.5012/bkcs.2009.30.8.1783
  6. Isolation of overlapping resonances by multichannel quantum defect theory in the uniformly perturbed Rydberg systems involving one open and many degenerate closed channels vol.43, pp.17, 2009, https://doi.org/10.1088/0953-4075/43/17/175002
  7. Role of Open Channels in Overlapping Resonances Studied by Multichannel Quantum Defect Theory in Systems Involving 2 Nondegenerate Closed and Many Open Channels vol.31, pp.11, 2009, https://doi.org/10.5012/bkcs.2010.31.11.3201
  8. Study of the resonance structures of the interacting degenerate autoionizing Rydberg series perturbed by an interloper by multichannel quantum defect theory vol.44, pp.19, 2009, https://doi.org/10.1088/0953-4075/44/19/195005
  9. Relations between Resonance Structures in Photoionization Spectra in Three-Channel-Systems Studied by Multichannel Quantum Defect Theory vol.33, pp.7, 2009, https://doi.org/10.5012/bkcs.2012.33.7.2168