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Bibliographic Details
Main Authors:	Chen, Bin, Guo, Yujin, Nam, Phan Thành, Yang, Dong Hao Ou
Format:	Preprint
Published:	2026
Subjects:	Mathematical Physics Analysis of PDEs
Online Access:	https://arxiv.org/abs/2601.19751
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Table of Contents:

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.