Solution of multi-channel problems using MCAS for spectra and scattering cross sections

Details Solution of multi-channel problems using MCAS for spectra and scattering cross sections Solution of multi-channel problems using MCAS for spectra and scattering cross sections

2005-10-10

arxiv.org/abs/nucl-th/0510030v1

Physics

Nuclear Physics

Nuclear Theory

8 pages, 10 figures, Workshop on Perspectives for Nuclear Data for the Next Decade, Bruyeres-le-Chatel, France, Sept. 2005

Scientific paper

A multi-channel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. Positive (scattering) and negative (sub-threshold) solutions can be found to predict both the compound nucleus sub-threshold spectrum and all resonances due to coupled-channel effects that occur on a smooth energy varying background. The role of the Pauli principle is crucial in defining what interaction potentials are required to fit data. The theory also gives an algebraic form for the dynamic polarization potential which adds to the ground state interaction to define the optical potential that gives the same elastic scattering cross sections.

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