Beyond mean-field methods: why and how

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Presentation transcript:

Beyond mean-field methods: why and how The mean-field framework: superheavy nuclei qp spectra Correlations beyond mean-field by the GCM projection and configuration mixing selected applications systematic calculations of correlations

The mean-field method : Starting point: The mean-field method : Skyrme HFB Pairing with a density-dependent zero range interaction Solution of the HF equations on a 3D cartesian mesh (unrestricted nuclear shape) Lipkin Nogami method to simulate a Variation after N,Z projection

Beyond mean-field Set of mean-field wave functions depending on axial Q Projection on N, Z, J: New wave functions by mixing on q: with fJ,k (q) determined by minimizing the energy:

First step: triaxiality but TRI

First step: triaxiality but TRI Projection of Jz=0 on J=2

Projection of Jz=2 on J=2

The future: new energy density functional, more directly derived from bare N-N interaction (Duguet and Bonche) new degrees of freedom (triaxiality and pairing vibrations) breaking of symmetries (time reversal invariance) (Bender and Heenen)