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.
Highlights
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
Can be interpreted as a nucleus in the liquid drop model with density 1, and the volume | | = A is the number of nucleons in the nucleus
Summary
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. Over all measurable set ⊂ R3 with the energy functional
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