arXiv:nucl-th/0505023·v1·Nuclear Theory
Exactly Solvable Pairing Model Using an Extension of Richardson-Gaudin Approach
A.B. Balantekin (Wisconsin U., Madison)🇺🇸 · T. Dereli (Koc U.)🇹🇷 · Y. Pehlivan (Izmir U. Economics)🇹🇷
Abstract
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.
Comments: 9 pages of Latex. In the proceedings of Blueprints for the Nucleus: From First Principles to Collective Motion: A Festschrift in Honor of Professor Bruce Barrett, Istanbul, Turkey, 17-23 May 2004