Liquid Drop Model for Nuclear Matter in the Dilute Limit
Mathematical Physics
2021-03-26 v4 Analysis of PDEs
math.MP
Abstract
We consider the liquid drop model for nuclei interacting with a neutralizing homogeneous background of electrons. The regime we are interested in is when the fraction between the electronic and the nuclear charge density is small. We show that in this dilute limit the thermodynamic ground state energy is given to leading order by that of an isolated nucleus.
Cite
@article{arxiv.1807.11904,
title = {Liquid Drop Model for Nuclear Matter in the Dilute Limit},
author = {Lukas Emmert and Rupert L. Frank and Tobias König},
journal= {arXiv preprint arXiv:1807.11904},
year = {2021}
}
Comments
20 pages. v2: Appendix about the thermodynamic limit added. v3: Minor corrections. v4: Lower bound strengthened, proof simplified