DOI QR코드

DOI QR Code

Multichannel Quantum-Defect Study of q reversals in Overlapping Resonances in Systems involving 1 Open and 2 Closed Channels

  • Published : 2010.02.20

Abstract

This study examined the overlapping resonances in the systems involving 1 open and 2 closed channels using the phase-shifted version of multichannel quantum-defect theory (MQDT). The results showed that 21 patterns for the q reversals in the autoionization spectra are possible depending on the relative arrangements of the two simple poles and roots of the quadratic equations. Complete cases could be generated easily using the q zero planes determined using only 3 asymmetric spectral line profile indices. The transition of the spectra of the coarse interloper Rydberg series from the lines into a structured continuum by being dispersed onto the entire Rydberg series was found. The overall behavior of the time delays was found to be governed by the dense Rydberg series, which is quite different from the one of the autoionization cross sections that is governed by an interloper, indicating that different dynamics prevail for them. This is in contrast to the two channel system where both quantities behave similarly. The dynamics obtained in the presence of overlapping resonances is as follows. The absorption process is instant and dominated by a transition to the interloper line. This process is followed by rapid leakage into the dense Rydberg series, which has a longer residence time before ionization than that of the interloper state. This is because the orbiting period is proportional to $\upsilon^3$ so that an excited electron has a shorter lifetime in the interloper state belonging to a lower member of the Rydberg series.

Keywords

References

  1. Jungen, C.; Pratt, S. T. J. Chem. Phys. 2008, 129, 164310. https://doi.org/10.1063/1.2999553
  2. Cohen, S.; Camus, P.; Bolovinos, A J. Phys. B 2005, 38, S1. https://doi.org/10.1088/0953-4075/38/2/001
  3. Connerade, J. P.; Lane, A. M. Rep. Prog. Phys. 1988, 51, 1439. https://doi.org/10.1088/0034-4885/51/11/002
  4. Connerade, J. P.; Lane, A. M.; Baig, M. A. J. Phys. B 1985, 18, 3507. https://doi.org/10.1088/0022-3700/18/17/013
  5. Mies, F. H. Phys. Rev. 1968, 175, 164. https://doi.org/10.1103/PhysRev.175.164
  6. Fano, U.; Cooper, J. W. Phys. Rev. 1965, 137, A1364. https://doi.org/10.1103/PhysRev.137.A1364
  7. Lane, A. M. J. Phys. B 1984, 17, 2213. https://doi.org/10.1088/0022-3700/17/11/015
  8. Seaton, M. J. Rep. Prog. Phys. 1983, 46, 167. https://doi.org/10.1088/0034-4885/46/2/002
  9. Fano, U.; Rau, A. R. P. Atomic Collisions and Spectra; Academic: Orlando, U.S.A., 1986.
  10. Giusti-Suzor, A.; Fano, U. J. Phys. B 1984, 17, 215. https://doi.org/10.1088/0022-3700/17/2/008
  11. Cooke, W. E.; Cromer, C. L. Phys. Rev. A 1985, 32, 2725. https://doi.org/10.1103/PhysRevA.32.2725
  12. Baig, M. A. Phys. Rev. A 2009, 79, 012509. https://doi.org/10.1103/PhysRevA.79.012509
  13. Lecomte, J. M. J. Phys. B 1987, 20, 3645. https://doi.org/10.1088/0022-3700/20/15/014
  14. Cohen, S. Eur. Phys. J. D 1998, 4, 31. https://doi.org/10.1007/s100530050181
  15. Giusti-Suzor, A.; Lefebvre-Brion, H. Phys. Rev. A 1984, 30, 3057. https://doi.org/10.1103/PhysRevA.30.3057
  16. Wintgen, D.; Friedrich, H. Phys. Rev. A 1987, 35, 1628. https://doi.org/10.1103/PhysRevA.35.1628
  17. Ueda, K. Phys. Rev. A 1987, 35, 2484. https://doi.org/10.1103/PhysRevA.35.2484
  18. Baig, M. A.; Ahmad, S.; Connerade, J. P.; Dussa, W.; Hormes, J. Phys. Rev. A 1992, 45, 7963. https://doi.org/10.1103/PhysRevA.45.7963
  19. Smith, F. T. Phys. Rev. 1960, 118, 349. https://doi.org/10.1103/PhysRev.118.349
  20. Knopp, K. Theory of Functions; Dover: N.Y., 1996; Vol. II.
  21. Child, M. S. J. Molec. Spectrosc. 1974, 53, 280. https://doi.org/10.1016/0022-2852(74)90132-5
  22. Lee, C. W.; Kong, J. H. Bull. Korean Chem. Soc. 2009, 30, 1783. https://doi.org/10.5012/bkcs.2009.30.8.1783

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. 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
  4. 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, 2010, https://doi.org/10.5012/bkcs.2010.31.6.1669
  5. 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, 2010, https://doi.org/10.5012/bkcs.2010.31.11.3201
  6. Channel coupling between perturbed autoionizing Rydberg series in the presence of an interloper by multichannel quantum defect theory in the systems involving one open and three closed channels vol.44, pp.6, 2010, https://doi.org/10.1088/0953-4075/44/6/065002