Exactly Solvable Pairing Model Using an Extension of Richardson-Gaudin Approach

Details Exactly Solvable Pairing Model Using an Extension of Richardson-Gaudin Approach Exactly Solvable Pairing Model Using an Extension of Richardson-Gaudin Approach

2005-05-09

arxiv.org/abs/nucl-th/0505023v1

Int.J.Mod.Phys. E14 (2005) 47-55

Physics

Nuclear Physics

Nuclear Theory

9 pages of Latex. In the proceedings of Blueprints for the Nucleus: From First Principles to Collective Motion: A Festschrift

Scientific paper

10.1142/S021830130500276X

We introduce a new class of exactly solvable boson pairing models using the
technique of Richardson and Gaudin. Analytical expressions for all energy
eigenvalues and first few energy eigenstates are given. In addition, another
solution to Gaudin's equation is also mentioned. A relation with the
Calogero-Sutherland model is suggested.

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