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A Pedestrian Approach to the Theory of Transfer Reactions: Application to Weakly-Bound and Unbound Exotic Nuclei

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The Euroschool on Exotic Beams, Vol. IV

Part of the book series: Lecture Notes in Physics ((LNP,volume 879))

Abstract

The present status of the theoretical description of transfer reactions is pedagogically presented. It is shown how transfer, from a complicated many-body problem, can be reduced to a three-body problem, introducing spectroscopic amplitudes. The quantum three-body scattering process is described increasing the complexity, starting from Distorted Wave Born Approximation, introducing implicitly break-up effects in Adiabatic Wave Approximation, introducing explicitly break-up effects in Continuum Discretized Coupled channels, and introducing rearrangement couplings in Coupled Reaction Channels. The two latter formalisms are expressed as approximations to the rigorous three-body Faddeev treatment. The application of these formalisms to transfer to weakly bound and unbound exotic nuclei is discussed.

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Notes

  1. 1.

    Strictly speaking, both two-body continua are part of the same three-body continuum, namely, p+n+10Be. In principle, a complete basis of either sub-system would be sufficient to describe the three-body continuum. In practice, an accurate description of the full three-body continuum might require a very large basis and so, in actual calculations, using a truncated basis, a suitable choice of the continuum representation can be important [46].

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Acknowledgements

This work has been partially supported by Spanish national projects FPA2009-08848 and FPA2009-07653 and by the Consolider Ingenio 2010 Program CPAN (CSD2007-00042).

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Authors and Affiliations

  1. Centro Nacional de Aceleradores, Universidad de Sevilla/Junta de Andalucía/CSIC, 41092, Seville, Spain

    Joaquín Gómez Camacho

  2. Departamento de FAMN, Universidad de Sevilla, Apartado 1065, 41080, Seville, Spain

    Joaquín Gómez Camacho & Antonio M. Moro

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  1. Joaquín Gómez Camacho
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  2. Antonio M. Moro
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Correspondence to Joaquín Gómez Camacho .

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Editors and Affiliations

  1. Department Nuclear Physics II (KP2), Gesellschaft für Schwerionenforschung GmbH, Darmstadt, Germany

    Christoph Scheidenberger

  2. Institute of Experimental Physics, University of Warsaw, Warsaw, Poland

    Marek Pfützner

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Gómez Camacho, J., Moro, A.M. (2014). A Pedestrian Approach to the Theory of Transfer Reactions: Application to Weakly-Bound and Unbound Exotic Nuclei. In: Scheidenberger, C., Pfützner, M. (eds) The Euroschool on Exotic Beams, Vol. IV. Lecture Notes in Physics, vol 879. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45141-6_2

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