Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2011-06-15
Physics
Nuclear Physics
Nuclear Theory
27 pages, 12 figures, submitted to Phys. Rev. C
Scientific paper
A new approach called the Schr\"odinger 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 Schr\"odinger-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.
Bernard Rémi
Gogny Daniel
Goutte Heloise
Younes Walid
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