Bonn 2010 – wissenschaftliches Programm

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HK: Fachverband Physik der Hadronen und Kerne

HK 20: Struktur und Dynamik von Kernen IV

HK 20.1: Gruppenbericht

Dienstag, 16. März 2010, 14:00–14:30, HG VII

Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces — •Jeremy Holt, Norbert Kaiser, and Wolfram Weise — Technische Universität München, Garching, Germany

We derive density-dependent corrections to the in-medium nucleon-nucleon interaction from the leading-order chiral three-nucleon force arising at next-to-next to leading order (N²LO) in the chiral expansion. We consider first a medium of isospin symmetric nuclear matter with density ρ and subsequently generalize to a medium with a small isospin asymmetry. At leading order there are six distinct one-loop diagrams contributing to the in-medium nucleon-nucleon interaction, which we combine with the low-momentum potential V_low−k to obtain an effective density-dependent interaction. We suggest that these results should be useful for nuclear structure calculations of medium- and heavy-mass nuclei, where a direct implementation of the three-nucleon force is computationally prohibitive. We apply these results also to a study of the Fermi liquid parameters of symmetric nuclear matter that characterize the interaction of quasi-particles on the Fermi surface. Work supported in part by BMBF, GSI and by the DFG cluster of excellence: Origin and Structure of the Universe.