Zero-pairing limit of Hartree-Fock-Bogoliubov reference states
| Autor: | Thomas Duguet, B. Bally, Alexander Tichai |
|---|---|
| Přispěvatelé: | UAM. Departamento de Física Teórica, Institut de Recherches sur les lois Fondamentales de l'Univers (IRFU), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay, Département de Physique Nucléaire (ex SPhN) (DPHN), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay |
| Rok vydání: | 2020 |
| Předmět: |
[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]
Nuclear Theory Field (physics) BMBPT Bogoliubov Theory Hartree–Fock method FOS: Physical sciences Nuclear Structure Bogoliubov Many-Body Perturbation Theory 01 natural sciences Nuclear Theory (nucl-th) Superconductivity (cond-mat.supr-con) Isotopes Physics - Chemical Physics 0103 physical sciences Limit (mathematics) Perturbation theory 010306 general physics Mathematical physics [PHYS]Physics [physics] Physics Condensed Matter::Quantum Gases Chemical Physics (physics.chem-ph) Hamiltonian matrix 010308 nuclear & particles physics Condensed Matter - Superconductivity Degenerate energy levels Física 16. Peace & justice [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] Pairing Zero-Pairing Limit Nuclear Properties Slater determinant |
| Zdroj: | Biblos-e Archivo. Repositorio Institucional de la UAM instname Physical Review C Physical Review C, American Physical Society, 2020, 102 (5), pp.054320. ⟨10.1103/PhysRevC.102.054320⟩ Phys.Rev.C Phys.Rev.C, 2020, 102 (5), pp.054320. ⟨10.1103/PhysRevC.102.054320⟩ |
| ISSN: | 2469-9985 2469-9993 |
| DOI: | 10.48550/arxiv.2006.02871 |
| Popis: | The variational Hartree-Fock-Bogoliubov (HFB) mean-field theory is the starting point of various (ab initio) many-body methods dedicated to superfluid systems. While taking the zero-pairing limit of HFB equations constitutes a text-book problem when the system is of closed-(sub)shell character, it is typically, although wrongly, thought to be ill-defined whenever the naive filling of single-particle levels corresponds to an open-shell system. The present work demonstrates that the zero-pairing limit of an HFB state is mathematically well-defined, independently of the closed- or open-shell character of the system in the limit. Still, the nature of the limit state strongly depends on the underlying shell structure and on the associated naive filling reached in the zero-pairing limit for the particle number A of interest. All the analytical findings are confirmed and illustrated numerically. While HFB theory has been intensively scrutinized formally and numerically over the last decades, it still uncovers unknown and somewhat unexpected features. From this general perspective, the present analysis demonstrates that HFB theory does not reduce to Hartree-Fock theory even when the pairing field is driven to zero in the HFB Hamiltonian matrix. Comment: 20 pages, 9 figures |
| Databáze: | OpenAIRE |
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