Parity violation in weak decays

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Homework Help Overview

The discussion revolves around the concept of parity violation in weak decays, particularly in the context of nuclear β-decay. The original poster expresses confusion regarding the necessity of parity conservation in a specific decay process despite the established understanding that weak interactions violate parity.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to reconcile the requirement for parity conservation in a nuclear β-decay problem with the knowledge that weak decays can violate parity. They provide an example involving the decay of La_{57} to Ce_{58} and discuss their reasoning regarding angular momentum and spin states.
  • Some participants question the general applicability of parity conservation in weak decays, suggesting that while parity is typically conserved, exceptions exist.
  • Others note the specific conditions under which parity violation occurs, referencing Wu's experiment as a significant case of maximal parity violation.

Discussion Status

The discussion is ongoing, with participants exploring the nuances of parity conservation and violation in weak decays. There is an acknowledgment of the complexity surrounding the topic, and some guidance is offered regarding the typical behavior of parity in weak interactions.

Contextual Notes

Participants highlight that while parity is generally conserved in many processes, weak decays present exceptions. The original poster's confusion may stem from the differing contexts in which parity is discussed, particularly in relation to specific decay processes and experimental observations.

JoePhysicsNut
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Homework Statement


I am confused about parity violation in weak decays. I learned about Wu's famous experiment and how it demonstrates that parity is violated in weak decays.

However, when I am doing a course problem on nuclear β-decay, then it still necessary to conserve parity.

Homework Equations



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

The Attempt at a Solution



I get the right answer, when I require l=1 as this carries P=-1 and S_{enu}=1 to conserve angular momentum overall.

So my question is, why I am requiring parity to be conserved in nuclear β-decay when parity is violated for weak decays?
 
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JoePhysicsNut said:

Homework Statement


I am confused about parity violation in weak decays. I learned about Wu's famous experiment and how it demonstrates that parity is violated in weak decays.

However, when I am doing a course problem on nuclear β-decay, then it still necessary to conserve parity.

Homework Equations



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

The Attempt at a Solution



I get the right answer, when I require l=1 as this carries P=-1 and S_{enu}=1 to conserve angular momentum overall.

So my question is, why I am requiring parity to be conserved in nuclear β-decay when parity is violated for weak decays?

Because parity is usually NOT violated. The exception doesn't make the rule. Even then it's not violated by much. Only certain cases in the quark mixing matrix will you get any significant violation at all. That's why it took till 1956 to discover. It's a perfectly fine approximate symmetry.
 
Last edited:
Dick said:
Because parity is usually NOT violated. The exception doesn't make the rule. Even then it's not violated by much. Only certain cases in the quark mixing matrix will you get any significant violation at all. That's why it took till 1956 to discover. It's a perfectly fine approximate symmetry.

But in Wu's experiment, ALL the electrons come out in one direction making parity MAXIMALLY violated.
 
JoePhysicsNut said:
But in Wu's experiment, ALL the electrons come out in one direction making parity MAXIMALLY violated.

Oh heck. I was thinking about CP violation. Different thing. Sorry!
 

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