Pseudo-relativistic fermionic systems with attractive Yukawa potential

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Bin Chen, Yujin Guo, Phan Thành Nam, Dong Hao Ou Yang
DOI: 10.48550/arxiv.2601.19751
Cited by: 0

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.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Advanced Mathematical Physics Problems Spectral Theory in Mathematical Physics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
27 January 2026
Document type
Preprint