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Microscopic and non-adiabatic Schrödinger equation derived from the Generator Coordinate Method based on 0 and 2 quasiparticle HFB states

Abstract : A new approach called the Schrödinger Collective Intrinsic Model (SCIM) has been developed to achieve a microscopic description of the coupling between collective and intrinsic excitations. The derivation of the SCIM proceeds in two steps. The first step is based on a generalization of the symmetric moment expansion of the equations derived in the framework of the Generator Coordinate Method (GCM), when both Hartree-Fock-Bogoliubov (HFB) states and two-quasi-particle excitations are taken into account as basis states. The second step consists in reducing the generalized Hill and Wheeler equation to a simpler form to extract a Schrödinger-like equation. The validity of the approach is discussed by means of results obtained for the overlap kernel between HFB states and two-quasi-particle excitations at different deformations.
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http://hal.in2p3.fr/in2p3-00601056
Contributor : Michel Lion <>
Submitted on : Thursday, June 16, 2011 - 4:59:09 PM
Last modification on : Monday, October 15, 2018 - 3:54:02 PM

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R. Bernard, H. Goutte, D. Gogny, W. Younes. Microscopic and non-adiabatic Schrödinger equation derived from the Generator Coordinate Method based on 0 and 2 quasiparticle HFB states. Physical Review C, American Physical Society, 2011, 84, pp.044308. ⟨10.1103/PhysRevC.84.044308⟩. ⟨in2p3-00601056⟩

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