Münster 2002 – scientific programme
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HK: Physik der Hadronen und Kerne
HK 43: Theory VII
HK 43.3: Talk
Thursday, March 14, 2002, 17:00–17:15, A
Relativistic Mean Field Theory with Generalized Nucleon-Meson Couplings — •Stefan Typel1 und Hermann Wolter2 — 1NSCL/Michigan State University, USA — 2University of Munich, Germany
Nuclear matter and finite nuclei can be qualitatively well described in quantum hadrodynamics (QHD) with constant meson-nucleon couplings in the mean field approximation. For a quantitative description an effective medium dependence has to be introduced, e.g. by assuming nonlinear meson self-couplings or a density dependence of the nucleon-meson couplings. From Dirac-Brueckner theory of nuclear matter it is well known on the other hand that the nuclear self energies are both density and momentum dependent. The momentum dependence is essential for a description of elastic proton-nucleus scattering. We therefore introduce generalized nucleon-mesons couplings in the QHD-Lagrangian which lead to density and momentum dependent self energies. Two models are considered. In the first model we investigate couplings of the mesons fields to derivatives of the nucleon field. This leads to new source terms in the field equations of the mesons and density-dependent meson masses. In the second model the meson-nucleon couplings are assumed to be functions of derivative densities generating rearrangement contributions in the self-energies. We suggest parametrizations of the generalized couplings and study their effect on the equation of state of nuclear matter and the energy dependence of the Schrödinger equivalent optical potential.