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HK: Fachverband Physik der Hadronen und Kerne
HK 27: Theorie
HK 27.5: Talk
Wednesday, March 14, 2007, 12:15–12:30, C
Pairing with Correlated Realistic NN Interactions — •Heiko Hergert, Robert Roth, Panagiota Papakonstantinou, Anneke Zapp, and Patrick Hedfeld — Institut f. Kernphysik, TU Darmstadt
We present results of Hartree-Fock-Bogoliubov (HFB) calculations based on a correlated realistic NN interaction VUCOM. Contrary to other currently used schemes, the HFB formalism is entirely based on the many-body Hamiltonian — i.e., the same interaction VUCOM is used in the particle-hole and the pairing channel. By this choice, we avoid conceptual and technical problems which have been uncovered in phenomenological approaches once particle-number projection (PNP) is considered. PNP results from approximate methods (Lipkin-Nogami) and exact variation after PNP are discussed.
Hartree-Fock calculations in the UCOM framework show that binding energies can be reproduced very well by treating long-range correlations not included in the UCOM transformation via perturbation theory or RPA [1,2]. Correspondingly, we explore the consistent treatment of these correlations in quasi-particle RPA.
We briefly touch on the the subject of 3N forces in these schemes.
Work supported by the DFG (SFB 634).
[1] R. Roth et al., Phys. Rev. C73 (2006) 044312
[2] C. Barbieri et al., nucl-th/0608011, submitted to PRL