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How to Study Efimov States in Exotic Nuclei?

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Abstract

The existence of Efimov states in atomic nuclei has been predicted by several authors considering 3-body systems of the form Core–neutron–neutron. While these states appear elusive and very challenging experimentally, we discuss possible reactions that can be used to produce and study them in exotic (weakly-bound) nuclei. Following simple arguments, we show that cross-sections relative to the ground states should scale with the parameter \({\lambda_0}\), which is the same scale factor for binding energies and radii. We derive back of the envelope estimates for: one- and two-neutron transfer reactions, and inelastic scattering. The (d, p) reaction appears as the most promising approach and we discuss in more detail some experimental considerations using the example of \({^{19}C(d, p)^{20}C}\). These initial estimates could serve as a starting point for more refined and realistic calculations, which will be required for careful experimental planning and further analysis.

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Authors and Affiliations

  1. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA

    Augusto O. Macchiavelli

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  1. Augusto O. Macchiavelli
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Correspondence to Augusto O. Macchiavelli.

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Macchiavelli, A.O. How to Study Efimov States in Exotic Nuclei?. Few-Body Syst 56, 773–778 (2015). https://doi.org/10.1007/s00601-015-0998-4

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  • DOI: https://doi.org/10.1007/s00601-015-0998-4

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