Simple local potential for the spectrum of e+ e− coincidence peaks found in heavy-ion collisions
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.
PACS25.70.Ef - Resonances
PACS03.65.Ge - Solutions of wave equations: bound states
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