2016/04/14 by Rupert L. Frank, Rowan Killip, Phan Thành Nam · 21 citations
Mathematics · Physics and Astronomy · #Complex system #Drop (telecommunication) #Geometric Analysis and Curvature Flows #Liquid drop #Point processes and geometric inequalities #Semi-empirical mass formula #Stochastic processes and statistical mechanics #Upper and lower bounds #math-ph #math.AP #math.MP
paper · pdf · doi:10.1007/s11005-016-0860-8
published in Letters in Mathematical Physics 106(8), 1033-1036 (Springer Science+Business Media) · 3 pages; new version with improved bound and simplified proof
arxiv created 2016/04/14 · openalex publication_date 2016/06/14 · openalex created_date 2016/06/24 · arxiv updated 2016/06/29 · openalex updated_date 2026/08/05
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.