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Internal Excitation, Inelastic Scattering

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Scattering Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 872))

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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.

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Notes

  1. 1.

    The treatment in this subsection is inspired by Chap. 20 of Ref. [17], where further details based on a more stringent mathematical formulation can be found.

References

  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. Aymar, M., Greene, C.H., LucKoenig, E.: Multichannel Rydberg spectroscopy of complex atoms. Rev. Mod. Phys. 68, 1015 (1996)

    Article  ADS  Google Scholar 

  3. Auerbach, N., Zevelinsky, V.: Doorway states in nuclear reactions as a manifestation of the “super-radiant” mechanism. Nucl. Phys. A 781, 67 (2007)

    Article  ADS  Google Scholar 

  4. Auerbach, N., Zevelinsky, V.: Super-radiant dynamics, doorways and resonances in nuclei and other open mesoscopic systems. Rep. Prog. Phys. 74, 106301 (2011)

    Article  ADS  Google Scholar 

  5. Barrett, R.F., Robson, B.A., Tobocman, W.: Calculable methods for many-body scattering. Rev. Mod. Phys. 55, 155 (1983)

    Article  ADS  Google Scholar 

  6. Burke, P.G., Taylor, A.J.: The excitation of He+ by electron impact. J. Phys. B 2, 44 (1969)

    Article  ADS  Google Scholar 

  7. Feshbach, H.: Unified theory of nuclear reactions. Ann. Phys. 5, 357 (1958)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Feshbach, H.: Unified theory of nuclear reactions II. Ann. Phys. 19, 287 (1962)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Friedrich, H., Wintgen, D.: Interfering resonances and bound states in the continuum. Phys. Rev. A 32, 3231 (1985)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  12. Lejeune, A., Mahaux, C.: Wave functions near resonance and R-matrix expansion. Nucl. Phys. A 145, 613 (1970)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  MATH  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  17. Taylor, J.R.: Scattering Theory: the Quantum Theory of Nonrelativistic Collisions. Wiley, New York (1972)

    Google Scholar 

  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)

    Article  ADS  Google Scholar 

  19. Wintgen, D., Friedrich, H.: Perturbed Rydberg series of autoionizing resonances. Phys. Rev. A 35, 1628 (1987)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

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Friedrich, H. (2013). Internal Excitation, Inelastic Scattering. In: Scattering Theory. Lecture Notes in Physics, vol 872. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38282-6_3

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