A particle-number-conserving solution to the generalized pairing problem

Abstract

An exact, number-conserving solution to the generalized, orbit-dependent pairing problem is derived by introducing an infinite-dimensional algebra. A method for obtaining eigenvalues and eigenvectors of the corresponding Hamiltonian is also given. The relevance of the orbit-dependent pairing solution is demonstrated by comparing predictions of the model with shell-model calculations.

12 pages, LaTeX (uses RevTex macros), one postscript figure. Submitted to Physical Review Letters

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