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Effective Field Theories of Loosely Bound Nuclei

  • Chapter
The Euroschool on Exotic Beams, Vol. IV

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

Abstract

Physics can be organized as a sequence of effective field theories (EFTs) according to a distance or inverse-momentum scale. I discuss in these lectures the EFTs that allow us to describe nuclei in the context of the underlying theory of strong interactions, QCD. After an introduction to the general EFT ideas, QED in the non-relativistic regime is used to illustrate the emergence of structure from the breakdown of perturbation theory. EFTs of QCD are then developed for the scales appropriate for typical nuclei (Chiral EFT), light nuclei (Pionless EFT), and nuclei near the driplines (Halo/Cluster EFT). Emphasis is on the conceptual framework, including the power counting and renormalization that underline the connection between QCD and loosely bound nuclei, rather than on the broad phenomenological successes of the various EFTs. The surprising non-perturbative renormalization of pion exchange and shorter-range interactions is highlighted, together with the role of fine-tuning in loosely bound systems.

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Acknowledgements

I thank my many collaborators over the years for their help in shaping my views of EFTs, especially in the challenging nuclear context. This work was supported in part by the Université Paris Sud under the program “Attractivité 2013”, and by the US DOE under grant DE-FG02-04ER41338.

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Authors and Affiliations

  1. Institut de Physique Nucléaire, CNRS/IN2P3, Université Paris Sud, 91406, Orsay, France

    U. van Kolck

  2. Department of Physics, University of Arizona, Tucson, AZ, 85721, USA

    U. van Kolck

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  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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van Kolck, U. (2014). Effective Field Theories of Loosely Bound 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_4

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