Conservation of angular momentum in nuclear physics

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burgjeff
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Say a uranium-238 nucleus with angular momentum II decays to thorium-234 plus an alpha particle. Will the sum of the angular momenta of the thorium-234 nucleus and the alpha particle equal II? What if a photon was emitted during this process, would Ithorium+Iα+hbar=II?

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To clarify mfb's point, orbital angular momentum must be included when applying angular momentum conservation. But yes, angular momentum is definitely always conserved.