At many places in beta decay of cobalt-60, the ground state spin of the isotope is given as 5+. However that's not what is predicted by shell model and applying nordheim's strong rule. Is the data given purely experimental in such cases and outside purview of shell-model? Similarly, daughter nucleus Ni has 4+ spin-parity. Is there a theoretical way to determine the nuclear spins in ground state?
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Shell Model arguments usually work well for nuclei close to magic neutron and proton numbers, but sometimes fail when that is not the case. Co-60 is just not magic enough. Here is a link to an old paper that might help: http://ist-socrates.berkeley.edu/~schwrtz/PhysicsPapers/01PhysRev_94_95.pdf The data in the nuclides chart is experiemntal and there is no theoretical model that explains all the measured gs spins, especially for the most challenging odd-odd isotopes.
Lewis Miller
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