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Application of Prony’s inversion method in determining the lifetime of a resonance

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Il Nuovo Cimento B (1971-1996)

Summary

Certain multi-channel (or Feshbach) resonances are associated with systems with internal degree(s) of freedom. For these systems, in general, the probability of decay is not a simple exponential function, rather it involves the sum of a number of terms each with oscillatory as well as exponential dependence on time. It is shown how from the observed time-dependence of the decay probability one can, using Prony’s method, obtain the number of quasi-stationary states, the imaginary part of the complex discrete energy eigenvalues and the level spacings. These quantities enable one to determine, in an approximate way, some properties of the interaction.

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Authors and Affiliations

  1. Theoretical Physics Institute, Department of Physics, The University of Alberta, T6G 2J1, Edmonton, Alberta, Canada

    M. Razavy

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  1. M. Razavy
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Razavy, M. Application of Prony’s inversion method in determining the lifetime of a resonance. Nuov Cim B 111, 331–341 (1996). https://doi.org/10.1007/BF02724655

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  • DOI: https://doi.org/10.1007/BF02724655

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