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Breakup Reaction Models for Two- and Three-Cluster Projectiles

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Clusters in Nuclei, Vol.2

Part of the book series: Lecture Notes in Physics ((LNP,volume 848))

Abstract

Breakup reactions are one of the main tools for the study of exotic nuclei, and in particular of their continuum. In order to get valuable information from measurements, a precise reaction model coupled to a fair description of the projectile is needed. We assume that the projectile initially possesses a cluster structure, which is revealed by the dissociation process. This structure is described by a few-body Hamiltonian involving effective forces between the clusters. Within this assumption, we review various reaction models. In semiclassical models, the projectile-target relative motion is described by a classical trajectory and the reaction properties are deduced by solving a time-dependent Schrödinger equation. We then describe the principle and variants of the eikonal approximation: the dynamical eikonal approximation, the standard eikonal approximation, and a corrected version avoiding Coulomb divergence. Finally, we present the continuum-discretized coupled-channel method (CDCC), in which the Schrödinger equation is solved with the projectile continuum approximated by square-integrable states. These models are first illustrated by applications to two-cluster projectiles for studies of nuclei far from stability and of reactions useful in astrophysics. Recent extensions to three-cluster projectiles, like two-neutron halo nuclei, are then presented and discussed. We end this review with some views of the future in breakup-reaction theory.

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Acknowledgments

We would like to thank P. Descouvemont, G. Goldstein, V. S. Melezhik, F. M. Nunes, and Y. Suzuki for fruitful collaborations concerning the development of some parts of the methods and applications discussed in this text. This text presents research results of BriX (Belgian research initiative on exotic nuclei), the interuniversity attraction pole programme P6/23 initiated by the Belgian-state Federal Services for Scientific, Technical and Cultural Affairs (FSTC). P. C. acknowledges the support of the F.R.S.-FNRS and of the National Science Foundation grant PHY-0800026. The authors also acknowledge travel support of the Fonds de la Recherche Fondamentale Collective (FRFC).

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  1. Physique Quantique C.P. 165/82 and Physique Nucléaire Théorique et Physique Mathématique C.P. 229, Université Libre de Bruxelles (ULB), Ã, 1050, Brussels, Belgium

    D. Baye

  2. National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI, 48824, USA

    P. Capel

  3. Physique Quantique C.P. 165/82, Université Libre de Bruxelles (ULB), Ã, 1050, Brussels, Belgium

    P. Capel

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  1. D. Baye
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  2. P. Capel
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Correspondence to D. Baye .

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  1. , Dept. de Recherches Subatomiques, Institut Pluridiciplinaire Hubert Curien, rue du Loess 3, Strasbourg, 67037, France

    Christian Beck

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Baye, D., Capel, P. (2012). Breakup Reaction Models for Two- and Three-Cluster Projectiles. In: Beck, C. (eds) Clusters in Nuclei, Vol.2. Lecture Notes in Physics, vol 848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24707-1_3

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