Il Nuovo Cimento A (1965-1970)

, Volume 107, Issue 12, pp 2767–2772 | Cite as

Simple local potential for the spectrum of e+ e coincidence peaks found in heavy-ion collisions

  • T. A. Weber
  • C. L. Hammer


Recent observations of narrow positron-electron coincidence peaks in heavy-ion collisions have raised renewed interest in discrete bound states embedded in the continuum first proposed by Wigner and von Neumann. In this paper we present a simple local potential which supports multiple bound states with energies that match the coincidence peaks. These positive-energy bound states have no classical turning points. Since the results are derived by analytical methods, this potential provides a simple test of numerical procedures used to study such phenomena.


25.70.Ef - Resonances 


03.65.Ge - Solutions of wave equations: bound states 


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Copyright information

© Società Italiana di Fisica 1994

Authors and Affiliations

  • T. A. Weber
    • 1
  • C. L. Hammer
    • 1
  1. 1.Department of Physics and AstronomyIowa State UniversityAmesUSA

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