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Exact and Nearly Exact Pairing Treatment for Large Scale Calculations

Abstract : In this article we present an analysis of the practical applicability of the earlier introduced PSY-MB method in solving the nuclear pairing Hamiltonian. In particular, we illustrate the convergence properties of the ground-state correlation energy, as well as the first excitation energy, in the case of the so-called picket-fence model where 32 particles are distributed over 64 equispaced, doubly-degenerated levels. In order to illustrate the ability of the method, we compare the correlation energies of the ground-state to the exact solutions obtained with the Richardson formalism, as well as the BCS approach, in function of the increasing monopole pairing strength parameter.
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Submitted on : Wednesday, April 18, 2007 - 9:54:58 AM
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H. Molique, J. Dudek. Exact and Nearly Exact Pairing Treatment for Large Scale Calculations. Zakopane Conference on Nuclear Physics, Sep 2006, Poland. pp.1405-1409. ⟨in2p3-00142262⟩

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