Extended Bethe-Richardson-Gaudin ansatzes for the solution of a mean-field plus separable pairing model with three non-degenerate \(j\)-orbits

DOI10.1016/j.physletb.2022.137362OpenAlexW4289444281MaRDI QIDQ2172300

Lianrong Dai, Yingxin Wu, Zhibo Qu, Shengze Guan, Feng Pan, Jerry P. Draayer

Publication date: 15 September 2022

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physletb.2022.137362

zbMATH Keywords

Bethe ansatzexactly solvable modelsseparable pairing

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Two-body problems (70F05) Atomic physics (81V45) Orbital mechanics (70M20)

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An exact solution of the homogenous trimer Bose-Hubbard model

Uses Software

• exactPairingHS

Cites Work

• Numerical algorithm for the standard pairing problem based on the Heine-Stieltjes correspondence and the polynomial approach
• Exact solution of spherical mean-field plus special orbit-dependent non-separable pairing model with multi non-degenerate \(j\)-orbits
• Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems
• The extended Heine–Stieltjes polynomials associated with a special LMG model
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