Internal Excitation, Inelastic Scattering

  • Harald Friedrich
Part of the Lecture Notes in Physics book series (LNP, volume 872)

Abstract

In this chapter, arbitrary internal excitations of projectile and/or target are considered, which enables the description of inelastic scattering via the appropriate coupled-channel equations. The chapter contains the theory Feshbach resonances, as opposed to single-channel shape resonances, and an account of multichannel quantum-defect theory, which is a powerful tool for describing Coulombic systems with attractive interactions falling off as 1/r for large values of the projectile-target separation r.

Keywords

Feshbach Resonance Radial Wave Function Closed Channel Scatter Phase Shift Rydberg Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Amos, K., von Dortmans, P.J., Geramb, H.V., Karataglidis, S., Raynal, J.: Nucleon-nucleus scattering: a microscopic nonrelativistic approach. Adv. Nucl. Phys. 25, 275 (2000) Google Scholar
  2. 2.
    Aymar, M., Greene, C.H., LucKoenig, E.: Multichannel Rydberg spectroscopy of complex atoms. Rev. Mod. Phys. 68, 1015 (1996) ADSCrossRefGoogle Scholar
  3. 3.
    Auerbach, N., Zevelinsky, V.: Doorway states in nuclear reactions as a manifestation of the “super-radiant” mechanism. Nucl. Phys. A 781, 67 (2007) ADSCrossRefGoogle Scholar
  4. 4.
    Auerbach, N., Zevelinsky, V.: Super-radiant dynamics, doorways and resonances in nuclei and other open mesoscopic systems. Rep. Prog. Phys. 74, 106301 (2011) ADSCrossRefGoogle Scholar
  5. 5.
    Barrett, R.F., Robson, B.A., Tobocman, W.: Calculable methods for many-body scattering. Rev. Mod. Phys. 55, 155 (1983) ADSCrossRefGoogle Scholar
  6. 6.
    Burke, P.G., Taylor, A.J.: The excitation of He+ by electron impact. J. Phys. B 2, 44 (1969) ADSCrossRefGoogle Scholar
  7. 7.
    Feshbach, H.: Unified theory of nuclear reactions. Ann. Phys. 5, 357 (1958) MathSciNetADSMATHCrossRefGoogle Scholar
  8. 8.
    Feshbach, H.: Unified theory of nuclear reactions II. Ann. Phys. 19, 287 (1962) MathSciNetADSMATHCrossRefGoogle Scholar
  9. 9.
    Friedrich, H., Wintgen, D.: Interfering resonances and bound states in the continuum. Phys. Rev. A 32, 3231 (1985) ADSCrossRefGoogle Scholar
  10. 10.
    Gounand, F., Gallagher, T.F., Sandner, W., Safinya, K.A., Kachru, R.: Interaction between two Rydberg series of autoionizing levels in barium. Phys. Rev. A 27, 1925 (1983) ADSCrossRefGoogle Scholar
  11. 11.
    Giusti-Suzor, A., Lefebvre-Brion, H.: Theoretical study of complex resonances near ionization thresholds: application to the N2 photoionization spectrum. Phys. Rev. A 30, 3057 (1984) ADSCrossRefGoogle Scholar
  12. 12.
    Lejeune, A., Mahaux, C.: Wave functions near resonance and R-matrix expansion. Nucl. Phys. A 145, 613 (1970) ADSCrossRefGoogle Scholar
  13. 13.
    Sadreev, A.F., Bulgakov, E.N., Rotter, I.: Bound states in the continuum in open quantum billiards with a variable shape. Phys. Rev. B 73, 235342 (2006) ADSCrossRefGoogle Scholar
  14. 14.
    Solis, B., Ladrón de Guevara, M.L., Orellana, P.A.: Friedel phase discontinuity and bound states in the continuum in quantum dot systems. Phys. Lett. A 372, 4736 (2008) ADSMATHCrossRefGoogle Scholar
  15. 15.
    Silva, R.E.F., Rivière, P., Martin, F.: Autoionizing decay of H2 doubly excited states by using xuv-pump–infrared-probe schemes with trains of attosecond pulses. Phys. Rev. A 85, 063414 (2012) ADSCrossRefGoogle Scholar
  16. 16.
    Starace, A.: Absolute line strengths by analysis of Lu–Fano plots with application to excited state transitions in neon. J. Phys. B 6, 76 (1973) ADSCrossRefGoogle Scholar
  17. 17.
    Taylor, J.R.: Scattering Theory: the Quantum Theory of Nonrelativistic Collisions. Wiley, New York (1972) Google Scholar
  18. 18.
    Taylor, H.S., Nazaroff, G.V., Golebiewski, A.: Qualitative aspects of resonances in electron–atom and electron–molecule scattering, excitation, and reactions. J. Chem. Phys. 45, 2872 (1966) ADSCrossRefGoogle Scholar
  19. 19.
    Wintgen, D., Friedrich, H.: Perturbed Rydberg series of autoionizing resonances. Phys. Rev. A 35, 1628 (1987) ADSCrossRefGoogle Scholar
  20. 20.
    Wang, H.W., Lu, X., Sun, X.M., Cai, Z.T., Feng, D.C.: New calculation method on the lifetime of the reactive scattering resonance states. Chem. Phys. Lett. 443, 369 (2007) ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Harald Friedrich
    • 1
  1. 1.Physik Department T30TU MünchenGarchingGermany

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