Mainz 2012 – wissenschaftliches Programm
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HK: Fachverband Physik der Hadronen und Kerne
HK 28: Struktur und Dynamik von Kernen
HK 28.5: Vortrag
Mittwoch, 21. März 2012, 15:15–15:30, P 4
Angular-Momentum Projection for Hartree-Fock and RPA with Realistic Interactions — •Bastian Erler and Robert Roth — Institut für Kernphysik, TU Darmstadt
Hartree-Fock (HF) with a Hamiltonian constructed from similarity transformed realistic NN potentials plus 3N contact interactions provides a good starting point for the description of closed shell nuclei. In conjucntion with Many-Body-Perturbation-Theory, experimental ground-state energies and radii are well reproduced. To describe collective excitations, the Random-Phase-Approximation (RPA) is the method of choice.
Beyond closed shells, e.g. in the sd-shell region, ground-states might exhibit intrinsic deformation, resulting in HF states where angular- momentum ceases to be a good quantum number. Lab-frame observables, like ground-state energies or rotational bands can be recovered from the intrinsic states via angular-momentum projection.
We study axially deformed even-even sd-shell nuclei, namely 20Ne, 28Si and 32S. Starting from a HF ground state obtained by exact angular-momentum projection, we use the RPA to study collective excitations. The transition strengths obtained from the RPA are projected to good angular momentum in an exact formalism, without resorting to popular approximations. We investigate the effect of deformed intrinsic states on giant resonances.
Supported by the DFG (SFB 634), HIC for FAIR and the BMBF (06DA9040I).