What changes under charge conjugation

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Discussion Overview

The discussion centers around the changes in quantum numbers under the charge conjugation operation, exploring various properties such as electric charge, spin, isospin, hypercharge, and parity. Participants seek clarification on specific quantum numbers and their behavior under this operation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants assert that electric charge changes under charge conjugation, while spin remains unchanged.
  • There is uncertainty regarding the behavior of isospin and its z-component (I_z) under charge conjugation, with one participant noting that I_z's dependence is linked to charge.
  • Hypercharge is proposed to change sign under charge conjugation.
  • For bosons, parity is suggested not to change, but a participant mentions that the relative parity of a proton-antiproton pair is negative, indicating that the p-pbar state has odd parity.
  • One participant specifically inquires about the parity of the antiproton, indicating difficulty in finding this information.
  • Another participant clarifies that the antiproton does not possess an intrinsic parity by itself, but rather has a negative relative parity when considered with the proton, as predicted by the Dirac equation and supported by experimental observations.

Areas of Agreement / Disagreement

Participants express differing views on the behavior of isospin and its z-component under charge conjugation, indicating that multiple competing perspectives exist. The discussion remains unresolved regarding the specific quantum numbers and their transformations.

Contextual Notes

There are limitations in the discussion regarding the definitions and assumptions related to isospin and parity, as well as the lack of consensus on the intrinsic properties of the antiproton.

FredMadison
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Hi!

Which quantum numbers change under the charge conjugation operation?

Electric charge - yes
Spin - no
Isospin - ?
z-component of isospin - ?
Hypercharge - ?
Parity - ?
 
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Magnitude of Ispin is the same.
I_z is tricky. It's C dependence is governed by the connection between charge and I_z.
Hypercharge changes sign.
Parity for bosons doesn't change.
The relative parity for p and pbar is negative so the p-pbar S state has odd parity.
 
I'm specifically looking for the parity of the antiproton. Can't find it anywhere! Anyone knows?
 
The antiproton does not have a parity by itself. There is a relative parity of the antiproton and the proton. That is, the proton-antiproton state has negative intrinsic parity. This is predicted by the Dirac equation, and has been measured by the angular asymmetry in the process p+pbar--> pi+pi. The combination also is negative under charge conjugation. These properties were listed at one time in the PDG data summary, but have been left out recently. They mave thought it was too obvious, which it isn't.
 
Aha, I see. Thanks a lot clem!
 

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