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Particle-Particle Hole-Hole TDA – And Beyond – For The Nuclear Pairing Hamiltonian

Abstract : A comparison of different seniority zero solutions to the picket-fence model for the nuclear pairing hamiltonian problem is performed. These solutions are calculated, in the normal regime, within the self-consistent Random Phase Approximation (SCRPA) and various simplifications of this formalism, and also with the Tamm-Dancoff approach in the particle-particle-hole-hole channel (pphh-TDA). The latter formalism represents a first approximation to the earlier developped so-called P-Symmetric Many-Body method (PSY-MB). In the superfluid regime, the solutions are compared with the BCS results. By comparing the results with the exact ones, obtained by the Richardson method, it is shown that the PSY-MB method provides a powerful tool in solving the problem with good accuracy both in the normal and the superfluid regime, for single-particle space sizes adapted to typical nuclear structure calculations.
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Submitted on : Tuesday, March 6, 2007 - 4:25:22 PM
Last modification on : Friday, May 8, 2020 - 1:10:02 AM
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H. Molique, J. Dudek. Particle-Particle Hole-Hole TDA – And Beyond – For The Nuclear Pairing Hamiltonian. 13th WORKSHOP ON NUCLEAR PHYSICS "MARIE AND PIERRE CURIE" PAIRING AND BEYOND — 50 YEARS OF THE BCS MODEL, Sep 2006, Kazimierz Dolny, Poland. pp.298-309, ⟨10.1142/S0218301307005739⟩. ⟨in2p3-00135117⟩

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