Parity violation in weak decays

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Discussion Overview

The discussion revolves around the concept of parity violation in weak decays, particularly focusing on the differences in parity conservation observed in various decay processes, such as Wu's experiment and nuclear β-decay. Participants explore the implications of parity violation and its extent in these contexts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses confusion regarding the extent of parity violation in weak decays, referencing Wu's experiment where electrons are emitted preferentially in one direction, suggesting maximal parity violation.
  • The same participant contrasts this with the use of parity conservation in determining the angular momentum and spin state of the electron-neutrino system in nuclear β-decay, indicating that parity is mostly conserved in that context.
  • Another participant requests an example of using parity as a good symmetry in the context of beta decay.
  • A subsequent post provides an example involving the decay of La_{57} to Ce_{58}, discussing how requiring l=1 leads to parity conservation and the correct angular momentum and spin state of the electron-neutrino system.
  • Another participant comments on the intrinsic parity of the fermion pair (e,ν), suggesting that with l=1, they should have a total parity of P=1.

Areas of Agreement / Disagreement

Participants express differing views on the extent of parity violation in weak decays, with some suggesting maximal violation in certain experiments while others indicate that parity is mostly conserved in nuclear β-decay. The discussion remains unresolved regarding the specific extent of parity violation in these processes.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about parity conservation and violation, as well as the specific conditions under which these principles apply in different decay processes.

JoePhysicsNut
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I am confused about when and to what extent parity is violated in weak decays.

On the one hand, there's Wu's famous experiment where electrons are emitted preferentially in one direction. This parity violation can be said to be maximal, since all electrons are emitted in one direction.

However, at the same time when determining the angular momentum and spin state of the electron-neutrino system in nuclear β-decay, I do use parity conservation as parity is mostly conserved.

Could anyone explain why parity is violated maximally in the case above and minimally in the other case? Also, to what extent (~0.1%, ~1%, etc of cases) is parity violated in nuclear β-decay?
 
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Can you give us an example of someone using parity as a good symmetry when discussing beta decay?
 
muppet said:
Can you give us an example of someone using parity as a good symmetry when discussing beta decay?

As an example, consider the
La_{57} (J^P=2^-) → Ce_{58} (J^P=0^+) decay and I'd like to figure out what the angular momentum and spin state of the electron-neutrino system is.

I get the right answer, when I require l=1 as this carries P=-1 making P conserved and S_{enu}=1 to conserve angular momentum overall.
 
I think a fermion pair as the (e,\nu) pair has a negative intrisic parity, so with l=1 they should have a total of P=1
 

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