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No-Core Shell Model and Continuum Spectrum States of Light Nuclei |
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PP: 245-271 |
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Author(s) |
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A. M. Shirokov,
A. I. Mazur,
E. A. Mazur,
J. P. Vary,
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Abstract |
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| Shell model is a conventional tool for nuclear structure studies. Some states obtained
in such studies belong to the continuum nuclear spectrum, i.e. their energies are above
nuclear dissociation thresholds. These energies are conventionally associated with the
energies of resonances in respective nuclear systems that is justified only in the case
of narrow resonances. In this contribution, we develop a J-matrix inverse scattering
approach which can be used for the analysis of scattering phase shifts and generating
eigenenergies in the continuum directly related to the ones obtained in shell model
applications in a given model model space and with a given value of the oscillator basis
parameter ~. This relationship is of a particular interest in the cases when a nuclear
many-body system does not have a resonant state or the resonance is broad and its
energy can differ significantly from the shell model eigenstate. After discussing the J-
matrix inverse scattering technique, we apply it to the analysis of n® and p® scattering.
The results are compared with the No-core Shell Model calculations of 5He and 5Li. |
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