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Nuclear reaction theory of resonances and surface waves

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Il Nuovo Cimento A (1965-1970)

Summary

The theory of resonances, regarded as singularities in the complex angular-momentum plane, is here reconsidered taking into account the role played by the so-called «echoes» of resonances. In this way we may describe sequences of resonances and echoes. As a typical example we consider the rotational band produced by the4He-4He elastic scattering. In this theory the poles of theS-function describe families of resonances and are related to the symmetries underlying the dynamics. In order to exhibit this connection we approach the many-body problem by the use of the «grand-angular-momentum tensor». We show, in detail, how various rotational bands emerge in three-body problem. The extension of the analysis to many-body problem is outlined. Furthermore by the use of collective coordinates we briefly illustrate how rotational excitations can be described as hydrodynamical vortices, obtaining a model which fits the complex angular-momentum picture of resonances. At higher energies the resonances smear out towards diffractive effects like the surface waves; this process is described by the motion of poles in the complex angular-momentum plane. Using the ray-tracing method, in the spirit of Keller geometrical diffraction theory, a detailed analysis of surface waves, and of the related phenomena like caustics and rainbows, is developed.

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Authors and Affiliations

  1. Dipartimento di Fisica dell'Università, Genova

    G. A. Viano

  2. INFN, Sezione di Genova, Genova

    G. A. Viano

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  1. G. A. Viano
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Viano, G.A. Nuclear reaction theory of resonances and surface waves. Nuov Cim A 104, 961–993 (1991). https://doi.org/10.1007/BF02813353

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  • DOI: https://doi.org/10.1007/BF02813353

PACS 25.70

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