DOI QR코드

DOI QR Code

The Lecomte-Ueda Transformation and Resonance Structure in the Multichannel Quantum Defect Theory for the Two Open and One Closed Channel System


Abstract

The transformation devised by Lecomte and Ueda for the study of resonance structures in the multichannel quantum defect theory (MQDT) is used to analyze partial photofragmentation cross section formulas in MQDT analogous to Fano's resonance formula obtained in the previous work for the system involving two open and one closed channels. Detailed comparison of the MQDT results with the configuration mixing (CM) ones is made. Resonance structures and their geometrical relations in the MQDT formulation are revealed and classified by combining Lecomte and Ueda's theory with the geometrical method devised to study the coupling between background and resonance scatterings.

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. Giusti-Suzor, A.;Fano, U. J. Phys. 1984, B17, 215.
  4. Eissner, W.; Seaton, M. J. J. Phys. 1969, B2, 341.
  5. Dubau, J; Seaton, M. J. J. Phys. 1984, B17, 381.
  6. Cooke, W. E.; Cromer, C. L. Phys. Rev. 1985, A32, 2725.
  7. Lecomte, J. M. J. Phys. 1987, B20, 3645.
  8. Ueda, K. Phys. Rev. 1987, A35, 2484.
  9. Giusti-Suzor, A.; Lefebvre-Brion, H. Phys. Rev. 1984, A30, 3057.
  10. Wintgen, D.; Friedrich, H. Phys. Rev. 1987, A35, 1628.
  11. Cohen, S. Eur. Phys. J. 1998, D4, 31.
  12. Fano, U. Phys. Rev. 1961, 124, 1866. https://doi.org/10.1103/PhysRev.124.1866
  13. Fano, U.; Cooper, J. W. Phys. Rev. 1965, A137, 1364.
  14. Starace, A. F. Phys. Rev. 1977, A16, 231.
  15. Lee, C.-W. Bull Korean Chem. Soc. 1995, 16, 850.
  16. Fano, U. Phys. Rev. 1978, A17, 93.
  17. Greene, C. H.; Fano, U.; Strinati, G. Phys. Rev. 1979, A19, 1485.
  18. Mies, F. H. Phys. Rev. 1979, A20, 1773.
  19. Lee, C.-W. Accepted in Bull. Korean Chem. Soc.
  20. Lee, C.-W. Phys. Essays 2000, 13, 206. https://doi.org/10.4006/1.3028813
  21. Fano, U.; Rau, A. R. P. Atomic Collisions and Spectra; Academic: Orlando, U. S. A., 1986, p. 233
  22. Greene, C. H.; Rau, A.R.P.; Fano, U. Phys. Rev. 1982, A26, 2441.
  23. Lee, C.-W. Phys. Rev. 1998, A58, 4581.
  24. Simonius, M. Phys. Lett. 1974, 52B, 279.
  25. Hazi, A. U. Phys. Rev. 1979, A19, 920.
  26. Fano, U. Rev. Mod. Phys. 1957, 29, 74 https://doi.org/10.1103/RevModPhys.29.74
  27. Fano, U; Rau, A. R. P. Symmetries in Quantum Physics; Academic: San Diego, U. S. A., 1996.
  28. Newton, R. G. Scattering Theory of Waves and Particles; Springer-Verlag: New York, U. S. A., 1982.
  29. Fano, U. Phys. Rev. 1970, A2, 353.
  30. Press, W. H.; Teukolsky, S. A.; Vetterling, W. T.; Flannery, B. P. Numerical Recipes in C; Cambridge: New York, U. S. A., 1992.
  31. Gailitis, M. Sov. Phys-JETP 1963, 17, 1328.
  32. Fano, U; Rau, A. R. P. Symmetries in Quantum Physics; Academic: San Diego, U. S. A., 1996.

Cited by

  1. 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
  2. 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
  3. Decoupling of Background and Resonance Scatterings in Multichannel Quantum Defect Theory and Extraction of Dynamic Parameters from Lu-Fano Plot vol.30, pp.4, 2002, https://doi.org/10.5012/bkcs.2009.30.4.891
  4. Multichannel Quantum Defect Theory Analysis of Overlapping Resonance Structures in Lu-Fano Plots of Rare Gas Spectra vol.30, pp.8, 2002, https://doi.org/10.5012/bkcs.2009.30.8.1783
  5. Multichannel Quantum Defect Study of the Perturber's Effect on the Overlapping Resonances in Rydberg Series for the Systems Involving 2 Closed and Many Open Channels vol.31, pp.6, 2002, https://doi.org/10.5012/bkcs.2010.31.6.1669
  6. Multichannel Quantum Defect Study of the Perturber's Effect on the Overlapping Resonances in Rydberg Series for the Systems Involving 2 Closed and Many Open Channels vol.31, pp.6, 2002, https://doi.org/10.5012/bkcs.2010.31.6.1669
  7. 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, 2002, https://doi.org/10.1088/0953-4075/43/17/175002
  8. Relations between Resonance Structures in Photoionization Spectra in Three-Channel-Systems Studied by Multichannel Quantum Defect Theory vol.33, pp.7, 2002, https://doi.org/10.5012/bkcs.2012.33.7.2168