Pseudo-relativistic fermionic systems with attractive Yukawa potential
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910002484084736 |
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| author | Chen, Bin Guo, Yujin Nam, Phan Thành Yang, Dong Hao Ou |
| author_facet | Chen, Bin Guo, Yujin Nam, Phan Thành Yang, Dong Hao Ou |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19751 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pseudo-relativistic fermionic systems with attractive Yukawa potential Chen, Bin Guo, Yujin Nam, Phan Thành Yang, Dong Hao Ou Mathematical Physics Analysis of PDEs 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. |
| title | Pseudo-relativistic fermionic systems with attractive Yukawa potential |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2601.19751 |