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Theory of Resonance States and Processes Based on Analytical Continuation in the Coupling Constant

  • Chapter
Theory of Resonances

Part of the book series: Reidel Texts in the Mathematical Sciences ((RTMS,volume 3))

Abstract

This chapter deals with a new approach to the theory of resonance states and processes, namely, the method of analytic continuation in the coupling constant (ACCC) proposed by the authors earlier [1–4]. In the previous chapters it was noted repeatedly that the most accurate method for finding the resonances and their characteristics was based on analytic continuation. Since the resonant features of the scattering amplitude occur on non-physical energy sheets and the whole theoretical apparatus used (dynamical equations, unitarity relations, completeness, orthogonality, etc) is formulated as a rule on the physical sheet, it is only natural to define all the resonance parameters of amplitudes via analytic continuation in energy (or in k) from the physical to nonphysical sheets. The analytic continuation in energy may be replaced by analytic continuation in the coupling constant of the interaction, which is more convenient and physically more lucid in many cases.

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Authors and Affiliations

  1. Moscow State University, U.S.S.R.

    V. I. Kukulin & V. M. Krasnopol’sky

  2. Charles University, Prague, Czechoslovakia

    J. Horáček

Authors
  1. V. I. Kukulin
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  2. V. M. Krasnopol’sky
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  3. J. Horáček
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© 1989 V. I. Kukulin, V. M. Krasnopol’sky, J. Horáček

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Kukulin, V.I., Krasnopol’sky, V.M., Horáček, J. (1989). Theory of Resonance States and Processes Based on Analytical Continuation in the Coupling Constant. In: Theory of Resonances. Reidel Texts in the Mathematical Sciences, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7817-2_6

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  • DOI: https://doi.org/10.1007/978-94-015-7817-2_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8432-3

  • Online ISBN: 978-94-015-7817-2

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