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arxiv: nucl-th/9709036 · v1 · submitted 1997-09-17 · ⚛️ nucl-th

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

classification ⚛️ nucl-th
keywords pairingsolutiongeneralizedorbit-dependentproblemalgebracalculationscomparing
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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.

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