Ab initio many-body calculations of nucleon-nucleus scattering

Abstract

We develop a new ab initio many-body approach capable of describing simultaneously both bound and scattering states in light nuclei, by combining the resonating-group method with the use of realistic interactions, and a microscopic and consistent description of the nucleon clusters. This approach preserves translational symmetry and Pauli principle. We outline technical details and present phase shift results for neutron scattering on 3H, 4He and 10Be and proton scattering on 3He and 4He, using realistic nucleon-nucleon (NN) potentials. Our A=4 scattering results are compared to earlier ab initio calculations. We find that the CD-Bonn NN potential in particular provides an excellent description of nucleon-4He S-wave phase shifts. On the contrary, the experimental nucleon-4He P-wave phase shifts are not well reproduced by any NN potential we use. We demonstrate that a proper treatment of the coupling to the n-10Be continuum is successful in explaining the parity-inverted ground state in 11Be.

31 pages, 18 figures

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• Cluster form factor calculation in the ab initio no-core shell model
• 4He experiments can serve as a database for determining the three-nucleon force
• Effective-range approach and scaling laws for electromagnetic strength in neutron-halo nuclei
• 7Be(p,gamma)8B S-factor from ab initio no-core shell model wave functions
• 7Be(p,gamma)8B S-factor from ab initio wave functions

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