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Quasi-molecular resonances in muonic charge-exchange reactions

  • V.I. Savichev
  • R. Blümel

Abstract:

We present the first thorough theoretical discussion of non-monotonic structure in the temporal behavior of X-ray fluorescence intensity spectra of muon charge-exchange reactions of the type pμ + Zp + μZ. Our discussion is based on semiclassical methods; our results are almost entirely analytical. We find that the reported experimental maxima of muon charge-exchange rates are very close to the theoretical limits. We identify a new quantum mechanism, quantum impedance matching, which explains observed inelastic transitions close to the Unitarity Limit. We investigate the specific example of the reaction pμO8 + in detail using two-center Coulomb adiabatic potential terms. We find that quantum impedance matched higher-order partial-wave resonances yielding muon-transfer rates close to the Unitarity Limit are responsible for the remarkable non-monotonic structure in the X-ray fluorescence spectra.

PACS. 34.60.+z Scattering in highly excited states (e.g., Rydberg states) 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2002

Authors and Affiliations

  • V.I. Savichev
    • 1
  • R. Blümel
    • 1
  1. 1.Department of Physics, Wesleyan University, Middletown, CT 06459-0155, USAUS

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