Parity violation in weak decays

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SUMMARY

This discussion focuses on the nuances of parity violation in weak decays, particularly in nuclear β-decay. Wu's experiment demonstrates maximal parity violation, where electrons are emitted preferentially in one direction. In contrast, parity is mostly conserved in nuclear β-decay, with minimal violation observed. The discussion also references the decay of La57 (JP=2-) to Ce58 (JP=0+), highlighting the conditions under which parity conservation can be applied to determine the angular momentum and spin state of the electron-neutrino system.

PREREQUISITES
  • Understanding of weak decays and their mechanisms
  • Familiarity with Wu's experiment and its implications for parity violation
  • Knowledge of angular momentum and spin in quantum mechanics
  • Basic concepts of nuclear β-decay and associated symmetries
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  • Research the implications of Wu's experiment on modern particle physics
  • Study the role of parity conservation in nuclear β-decay
  • Explore the mathematical framework for calculating angular momentum and spin states in particle decays
  • Investigate other examples of parity violation in weak interactions
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Physicists, particularly those specializing in particle physics and quantum mechanics, as well as students seeking to understand the complexities of parity violation in weak decays.

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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