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Research / Aug 12, 2026

Minimizers in Gamow's liquid drop model

For which volumes does the three-dimensional liquid-drop energy have minimizers, and when is the ball optimal?

Model / AI: ChatGPT 5.6 Pro

self-reported
Aug 12, 2026

Sharp minimizer and nonexistence threshold

Model / AI: ChatGPT 5.6 Pro

self-reported

Chodosh and Gianocca state that ChatGPT obtained the results over a series of chats without significant assistance and that the fundamental strategy survived their checking and rewrite. The paper characterizes the ball-minimizer range and proves nonexistence above the same sharp threshold.

Source read 2026-09-08. Read the abstract, theorem scope and explicit AI attribution in arXiv v1. The proof was not independently checked.