Berlin 2005 – scientific programme

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HK: Physik der Hadronen und Kerne

HK 26: Theorie

HK 26.5: Talk

Tuesday, March 8, 2005, 15:30–15:45, TU MA004

Relativistic Mean Field Model with Momentum Dependent Self Energies — •Stefan Typel — GSI Darmstadt

The relativistic mean field (RMF) model with minimal density dependent meson-nucleon couplings is extended to include couplings of mesons to derivatives of the nucleon field. The basic Lagrangian is presented and the consequences for the nucleon and meson field equations are discussed. In this approach, the nucleon self energies become differential operators with a non-trivial dependence on the medium density. Correspondingly, a momentum dependence of the effective interaction is generated that is absent from conventional RMF models. The effective (Landau) mass of the nucleons (related to the density of states near the Fermi surface) can be freely adjusted in the extended model. Additionally, the Schrödinger equivalent optical potential as extracted from elastic proton-nucleus scattering in Dirac phenomenology can be well described. Parameters of the coupling functions are determined by a fit to properties of finite nuclei. Results for nuclear matter and finite nuclei are compared to conventional models with density dependent couplings or with nonlinear meson self interactions.