Bulletin of the Korean Chemical Society

Korean Chemical Society (대한화학회)
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Geometrical Construction of the S Matrix and Multichannel Quantum Defect Theory for the two Open and One Closed Channel System

  • Published : 2002.07.20
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Abstract

The multichannel quantum defect theory (MQDT) is reformulated into the form of the configuration mixing (CM) method using the geometrical construction of the S matrix developed for the system involving two open and one closed channels. The reformulation is done by the phase renormalization method of Giusti-Suzor and Fano. The rather unconventional short-range reactance matrix K whose diagonal elements are not zero is obtained though the Lu-Fano plot becomes symmetrical. The reformulation of MQDT yields the partial cross section formulas analogous to Fano's resonance formula, which has not easily been available in other's work.

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References

  1. Lee, C.-W. Phys. Rev. 1998, A58, 4581.
  2. Lee, C.-W. Physics Essays 2000, 13, 206. https://doi.org/10.4006/1.3028813
  3. Fano, U. Phys. Rev. 1961, 124, 1866. https://doi.org/10.1103/PhysRev.124.1866
  4. Seaton, M. J. Rep. Prog. Phys. 1983, 46, 167. https://doi.org/10.1088/0034-4885/46/2/002
  5. Giusti-Suzor, A.; Fano, U. J. Phys. 1984, B17, 215.
  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. Seaton, M. J. Proc. Phys. Soc. London 1966, 89, 469. https://doi.org/10.1088/0370-1328/89/2/130
  13. Fano, U.; Rau, A. R. P. Atomic Collisions and Spectra; Academic:Orlando, U.S.A., 1986.
  14. Greene, C. H.; Rau, A. R. P.; Fano, U. Phys. Rev. 1982, A26, 2441.
  15. Eissner, W.; Seaton, M. J. J. Phys. 1969, B2, 341.
  16. Mies, F. H. J. Chem. Phys. 1984, 80, 2514. https://doi.org/10.1063/1.447000
  17. Taylor, J. R. Scattering Theory; John Wiley and Sons: New York,U.S.A., 1972.
  18. Simonius, M. Phys. Lett. 1974, 52B, 279.
  19. Hazi, A. U. Phys. Rev. 1979, A19, 920.
  20. Palmer, C. I.; Leigh, C. W.; Kimball, S. H. Plane and Spherical Trigonometry; McGraw-Hill: New York, U.S.A., 1950.
  21. Macek, J. Phys. Rev. 1970, A2, 1101.

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