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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?

Brometheus
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  • related: https://physics.stackexchange.com/questions/454246/how-do-you-go-about-guessing-the-ground-state-spin-and-parity-of-a-nucleus –  Jul 05 '19 at 21:55

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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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  • The link is broken. It would be better to supply a journal reference, which can be found later if the link disappears. –  Jul 05 '19 at 21:56
  • @BenCrowell After considerable searching I have been unable to locate the source material for the missing link. I am as frustrated as you are. From the name of the original link I infer that it was based on a paper published in Phys Rev C in 1994-95. I probably chose to display the linbk because the original article was behind a paywall. It would have been preferable to quote both in my answer. – Lewis Miller Jul 07 '19 at 13:38