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HK: Hadronen und Kerne

HK 6: Spectroscopy, Light Nuclei

HK 6.1: Group Report

Monday, March 16, 1998, 14:00–14:30, D

Bound and Scattering State Calculations for Light Nuclei with Realistic Nucleon-Nucleon Interactions^* — •Bernd Pfitzinger, Christian Winkler, Christoph Rei"s, Martin Kraus, and Hartmut M. Hofmann — Institut f"ur Theoretische Physik III, Universität Erlangen-N"urnberg

We use variational techniques to calculate bound and scattering states of light nuclei for various realistic nucleon-nucleon interactions (Bonn, Argonne v14, v18). Starting with the very lightest nuclei, ³ H and ³ He, we identify the most important configurations so that even a small model space gives good results for binding energies, rms radii and electromagnetic form factors. Step by step larger nuclei are constructed from these configurations. Present day supercomputers limit our computations to A=6, first results for ⁶ Li are presented.

Once we have determined a ground state wave function we can use it to perform scattering calculations. As an example we will compare calculated cross sections and polarisations in the ⁴ He system to data. For various potentials we find qualitative agreement with experimental phase shifts. Quantitative differences and their influence on observables are discussed. Since the inclusion of an additional three-nucleon interaction is needed to reproduce the binding energy we will particularly discuss its expected influence on scattering calculations.

^* Supported by Graduiertenkolleg Erlangen-Regensburg and BMBF