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On the solution of a pairing problem in the continuum

Abstract : We present a generalized Richardson solution for fermions interacting with the pairing interaction in both discrete and continuum parts of the single particle (s.p.) spectrum. The pairing Hamiltonian is based on the rational Gaudin (RG) model which is formulated in the Berggren ensemble. We show that solutions of the generalized Richardson equations are exact in the two limiting situations: (i) in the pole approximation and (ii) in the s.p. continuum. If the s.p. spectrum contains both discrete and continuum parts, then the generalized Richardson equations provide accurate solutions for the Gamow Shell Model.
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Contributor : Michel Lion Connect in order to contact the contributor
Submitted on : Friday, December 2, 2016 - 8:45:54 AM
Last modification on : Friday, January 21, 2022 - 9:30:18 AM

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A. Mercenne, N. Michel, J. Dukelsky, M. Ploszajczak. On the solution of a pairing problem in the continuum. Physical Review C, American Physical Society, 2017, 95 (2), pp.024324. ⟨10.1103/PhysRevC.95.024324⟩. ⟨in2p3-01407381⟩



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