Fermi and Gamow-Teller beta decays

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SUMMARY

Fermi type beta decay is helicity suppressed due to the requirement of a right-handed electron, which is not the primary reason for its suppression; rather, it is the matrix element that causes reduced overlap between nuclear initial and final states. Gamow-Teller beta decay is favored because it allows for a more significant overlap, leading to a higher probability of transition. The discussion highlights that while Fermi transitions have antiparallel spins, the emitted particles can have various angles, affecting the angular distribution differently compared to Gamow-Teller transitions. Understanding the momentum vectors and energy ranges of the electrons produced is crucial for grasping these concepts.

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  • Basic principles of momentum vectors in particle physics
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  • Investigate angular distributions in particle decay and their physical implications
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JesseC
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Am I right in thinking Fermi type beta decay is helicity suppressed, due to the necessity of having a right handed electron? This was implied but not explicitly stated in my lectures. And is this why Gamow-Teller type beta decay is the generally favoured mode?
 
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No, the reason that Fermi transitions are suppressed has to do with the matrix element, because the nuclear initial and final states will have a smaller overlap.

As far as the spins go, note that the electrons produced by a given decay have a wide range of energies, and while they may be relativistic they are not always so. For a nonrelativistic electron the helicity and the handedness are not the same thing.

Secondly, there's the momentum vectors to consider. The spins for Fermi transitions are antiparallel but the particles may come off at any angle, so antiparallel spins does not necessarily mean opposite helicities. It does mean the angular distribution between the two particles will be different for Fermi and Gamow-Teller.
 
Thanks for that explanation Bill. I can see where I was getting it wrong, not considering the momentum of the daughter and the range of angles for the neutrino and electron. Shame my course doesn't go into more detail on these sort of things.
 

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