Fermi and Gamow-Teller beta decays

In summary, Fermi type beta decay is suppressed due to the smaller overlap of nuclear initial and final states, and the fact that for nonrelativistic electrons, helicity and handedness are not the same. The favored mode is Gamow-Teller type beta decay due to the consideration of momentum vectors and the different angular distribution between the particles.
  • #1
JesseC
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2
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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  • #2
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.
 
  • #3
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.
 

1. What is a Fermi beta decay?

A Fermi beta decay is a type of radioactive decay in which a nucleus emits an electron (or positron) and an antineutrino (or neutrino). It is also known as a "Fermi transition" or "allowed beta decay". This type of decay occurs in nuclei with an even number of protons and an even number of neutrons.

2. What is a Gamow-Teller beta decay?

A Gamow-Teller beta decay is a type of radioactive decay in which a nucleus emits an electron (or positron) and an antineutrino (or neutrino). It is also known as a "Gamow-Teller transition" or "first-forbidden beta decay". This type of decay occurs in nuclei with an odd number of protons or an odd number of neutrons, or both.

3. What is the difference between Fermi and Gamow-Teller beta decays?

The main difference between Fermi and Gamow-Teller beta decays is the selection rules that govern their occurrences. Fermi beta decays occur in nuclei with an even number of protons and an even number of neutrons, while Gamow-Teller beta decays occur in nuclei with an odd number of protons or an odd number of neutrons, or both. Additionally, Fermi beta decays involve a change in spin of the nucleus, while Gamow-Teller beta decays involve a change in both spin and isospin (a quantum number related to the number of protons and neutrons).

4. How are Fermi and Gamow-Teller beta decays important in nuclear physics?

Fermi and Gamow-Teller beta decays are important in nuclear physics because they provide valuable information about the internal structure of atomic nuclei. By studying the energies and probabilities of these decays, scientists can learn about the spins, parities, and isospins of nuclei, as well as the strength of the nuclear force within them. This information is crucial for understanding the stability and behavior of atoms, and for developing nuclear technologies.

5. Can Fermi and Gamow-Teller beta decays be observed in nature?

Yes, both Fermi and Gamow-Teller beta decays can be observed in nature. These decays are a natural process that occurs in radioactive elements, such as uranium and thorium, as well as in nuclear reactions in stars and supernovae. Scientists also artificially induce these decays in particle accelerators to study them in controlled environments and gain a better understanding of nuclear physics.

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