Pseudo-relativistic fermionic systems with attractive Yukawa potential
Mathematical Physics
2026-01-28 v1 Analysis of PDEs
math.MP
Abstract
We study the Hartree-Fock and Hartree-Fock-Bogoliubov theories for a large fermionic system with the pseudo-relativistic kinetic energy and an attractive Yukawa interaction potential. We prove that the system is stable if and only if the total mass does not excess a critical value, and investigate the existence and properties of ground states in both sub-critical and critical mass regimes.
Keywords
Cite
@article{arxiv.2601.19751,
title = {Pseudo-relativistic fermionic systems with attractive Yukawa potential},
author = {Bin Chen and Yujin Guo and Phan Thành Nam and Dong Hao Ou Yang},
journal= {arXiv preprint arXiv:2601.19751},
year = {2026}
}
Comments
51 pages