1974Journal of Physics A Mathematical Nuclear and GeneralOpen access

Shell-model calculations in the sd shell. I. Energy spectra

B. J. Cole, A. Watt, R R Whitehead

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Abstract

Shell-model calculations have been performed for a number of nuclei in the sd shell to obtain binding energies and energy spectra. The realistic interactions of Kuo (1967), and Elliott et al (1968), and the empirically determined matrix elements of Preedom and Wildenthal (1972) were used in the full sd shell basis. Comparison with experiment shows that the Preedom-Wildenthal interaction works well in the lower part of the shell, whereas the other two give rise to shifts of whole rotational bands in most nuclei.

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Shell-model calculations have been performed for a number of nuclei in the sd shell to obtain binding energies and energy spectra. The realistic interactions of Kuo (1967), and Elliott et al (1968), and the empirically determined matrix elements of Preedom and Wildenthal (1972) were used in the full sd shell basis. Comparison with experiment shows that the Preedom-Wildenthal interaction works well in the lower part of the shell, whereas the other two give rise to shifts of whole rotational bands in most nuclei.

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Available abstract

Shell-model calculations have been performed for a number of nuclei in the sd shell to obtain binding energies and energy spectra. The realistic interactions of Kuo (1967), and Elliott et al (1968), and the empirically determined matrix elements of Preedom and Wildenthal (1972) were used in the full sd shell basis. Comparison with experiment shows that the Preedom-Wildenthal interaction works well in the lower part of the shell, whereas the other two give rise to shifts of whole rotational bands in most nuclei.

Key concepts: Shell (structure), SHELL model, Spectral line, Binding energy, Atomic physics, Matrix (chemical analysis), Physics, Basis (linear algebra)

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