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Nonexistence of Large Nuclei in the Liquid Drop Model

Letters in Mathematical Physics volume 106, pages 1033–1036 (2016)Cite this article

Abstract

We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result.

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Authors and Affiliations

  1. Mathematics 253-37, Caltech, Pasadena, CA, 91125, USA

    Rupert L. Frank

  2. UCLA Mathematics Department, Box 951555, Los Angeles, CA, 90095-1555, USA

    Rowan Killip

  3. Institute of Science and Technology Austria, Am Campus 1, 3400, Klosterneuburg, Austria

    Phan Thành Nam

Authors
  1. Rupert L. Frank
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  2. Rowan Killip
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  3. Phan Thành Nam
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Corresponding author

Correspondence to Phan Thành Nam.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Frank, R.L., Killip, R. & Nam, P.T. Nonexistence of Large Nuclei in the Liquid Drop Model. Lett Math Phys 106, 1033–1036 (2016). https://doi.org/10.1007/s11005-016-0860-8

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  • DOI: https://doi.org/10.1007/s11005-016-0860-8

Mathematics Subject Classification

  • 49Q10
  • 49Q20
  • 81V35

Keywords

  • liquid drop model
  • minimization problem
  • nonexistence