Solutions of Nuclear Pairing

Abstract

We give the exact solution of orbit dependent nuclear pairing problem between two non-degenerate energy levels using the Bethe ansatz technique. Our solution reduces to previously solved cases in the appropriate limits including Richardson's treatment of reduced pairing in terms of rational Gaudin algebra operators.

4 pages with 1 figure

References in corpus (4)

• A Class of Exactly Solvable Pairing Models
• A particle-number-conserving solution to the generalized pairing problem
• Spectra and Symmetry in Nuclear Pairing
• Supersymmetry and Nuclear Pairing

Cited by in corpus (9)

• Symmetry-guided large-scale shell-model theory
• The Heine-Stieltjes correspondence and the polynomial approach to the standard pairing problem
• Accuracy of BCS-based approximations for pairing in small Fermi systems
• New exact solutions of the standard pairing model for well-deformed nuclei
• An exact solution of spherical mean-field plus orbit-dependent non-separable pairing model with two non-degenerate j-orbits
• Symmetry and Supersymmetry in Nuclear Physics
• Symmetry and Supersymmetry in Nuclear Pairing: Exact Solutions
• Pairing in Nuclei: Exact Solutions
• Scaling properties of the pairing problem in the strong coupling limit