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Rowe DJ, Rosensteel G. Partially solvable pair-coupling models with seniority-conserving interactions. Phys Rev Lett. 2001;87(17):172501doi: 10.1103/PhysRevLett.87.172501.
Rowe, D. J., & Rosensteel, G. (2001). Partially solvable pair-coupling models with seniority-conserving interactions. Physical review letters, 87(17), 172501. https://doi.org/10.1103/PhysRevLett.87.172501
Rowe, D J, and Rosensteel, G. "Partially solvable pair-coupling models with seniority-conserving interactions." Physical review letters vol. 87,17 (2001): 172501. doi: https://doi.org/10.1103/PhysRevLett.87.172501
Rowe DJ, Rosensteel G. Partially solvable pair-coupling models with seniority-conserving interactions. Phys Rev Lett. 2001 Oct 22;87(17):172501. doi: 10.1103/PhysRevLett.87.172501. Epub 2001 Oct 05. PMID: 11690267.
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Phys Rev Lett. 2001 Oct 22;87(17):172501. doi: 10.1103/PhysRevLett.87.172501. Epub 2001 Oct 05.

Partially solvable pair-coupling models with seniority-conserving interactions.

Physical review letters

D J Rowe, G Rosensteel

Affiliations

  1. Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada.

PMID: 11690267 DOI: 10.1103/PhysRevLett.87.172501

Abstract

Given a single j-shell Hamiltonian, the algebraic conditions for conservation of seniority are derived from a quasispin tensor decomposition of the two-nucleon interaction. This makes it possible to construct useful solvable and partially solvable shell-model Hamiltonians with eigenstates classified by a spectrum generating algebra. Applications are made to the low-lying energy levels of the N = 50 nuclear isotones.

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