Spin Conservation in Beta Decay of 22Na: Explained

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SUMMARY

The discussion centers on the beta decay of 22Na, which transitions to 21Ne, raising questions about spin conservation. Specifically, 22Na with a spin of +3 decays into an excited state of 21Ne with a spin of 2, followed by the emission of a photon as it transitions to a ground state with spin 0. The conversation highlights that conservation of spin is not violated due to the consideration of orbital angular momentum, particularly in the context of quadrupole radiation, which has a longer lifetime than dipole radiation.

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I was looking at the beta decay process of 22Na and I have a question that really bugs me. 22Na spin +3 decays into 21Ne in the excited state with spin 2, and then this Ne nucleus will emit one photon and jumps down to the ground state with spin 0. if only one photon is emitted, isn't conservation of spin violated? or do we have to take into account orbital angular momentum as well?
 
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The nuclear spin can change by 2 if the emitted radiation is quadrupole.
This usually as a longer lifetime than the usual dipole radiation.
You could think of the quadrupole radiation as a photon with orbital angular momentum.
 

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