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Partial-wave analysis of particular peaks in total scattering cross sections caused by a single partial wave

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Abstract

Certain broad low-energy peaks in the total cross sections relevant for electron-atom scattering are studied and found to be caused by a single partial wave. Such peaks are associated here with complex orbital angular momentum (Regge) pole trajectories. At the peak energies these S-matrix poles are in some neighborhood of an integer value and at the same time near its maximum real part value as a function of energy. Such peaks are found to have no time delays. Results are presented for the Dirac equation using three rational function Thomas-Fermi potential models, all with the same behavior at large and small radial distances.

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Authors and Affiliations

  1. KTH-Mechanics, Royal Institute of Technology, 10044, Stockholm, Sweden

    Karl-Erik Thylwe

  2. CCDC, 12 Union Road, CB2 1EZ, Cambridge, UK

    Patrick McCabe

Authors
  1. Karl-Erik Thylwe
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  2. Patrick McCabe
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Correspondence to Karl-Erik Thylwe.

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Thylwe, KE., McCabe, P. Partial-wave analysis of particular peaks in total scattering cross sections caused by a single partial wave. Eur. Phys. J. D 68, 323 (2014). https://doi.org/10.1140/epjd/e2014-50409-7

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  • DOI: https://doi.org/10.1140/epjd/e2014-50409-7

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