Spectra and Symmetry in Nuclear Pairing

Abstract

We apply the algebraic Bethe ansatz technique to the nuclear pairing problem with orbit dependent coupling constants and degenerate single particle energy levels. We find the exact energies and eigenstates. We show that for a given shell, there are degeneracies between the states corresponding to less and more than half full shell. We also provide a technique to solve the equations of Bethe ansatz.

15 pages of REVTEX with 2 eps figures

References in corpus (3)

• Exact solution of the nuclear pairing problem
• A particle-number-conserving solution to the generalized pairing problem
• An Exactly Solvable Model of Interacting Bosons

Cited by in corpus (12)

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• New exact solutions of the standard pairing model for well-deformed nuclei
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• Algebraic Gorkov solution in finite systems for the separable pairing interaction
• Symmetry and Supersymmetry in Nuclear Pairing: Exact Solutions
• Pairing in Nuclei: Exact Solutions