Published August 2016 | Version Published + Submitted
Journal Article Open

Nonexistence of Large Nuclei in the Liquid Drop Model

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.

Additional Information

© 2016 Springer International Publishing. 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. Received: 18 April 2016; Revised: 7 May 2016; Accepted: 9 May 2016. Open access funding provided by Institute of Science and Technology Austria. Phan Thành Nam would like to thank H. Van Den Bosch for helpful discussions. Partial support by US National Science Foundation DMS-1363432 (R.L.F.), DMS-1265868 (R.K.) and Austrian Science Fund (FWF) Project Nr. P 27533-N27 (P.T.N.) are acknowledged.

Attached Files

Published - art_3A10.1007_2Fs11005-016-0860-8.pdf

Submitted - 1604.03231v2.pdf

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Additional details

Identifiers

Eprint ID
69466
Resolver ID
CaltechAUTHORS:20160805-093315174

Related works

Funding

Institute of Science and Technology Austria
NSF
DMS-1363432
NSF
DMS-1265868
FWF Der Wissenschaftsfonds
P 27533-N27

Dates

Created
2016-08-05
Created from EPrint's datestamp field
Updated
2021-11-11
Created from EPrint's last_modified field