Pi+ + p -> Sigma+ + pi+ + K0

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Discussion Overview

The discussion revolves around the conservation of isospin in the reaction pi+ + p -> Sigma+ + pi+ + K0. Participants explore whether isospin is conserved based on the isospin values of the particles involved.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests that the left-hand side (LHS) has possible isospin values of 1/2 and 3/2, while the right-hand side (RHS) has a possible isospin value of 5/2, leading to the conclusion that isospin is not conserved.
  • Another participant argues that isospins add like spins and that the RHS can have any isospin from 1/2 to 5/2, but 5/2 is excluded by isospin conservation.
  • Several participants hint at examining the T3 component of isospin to clarify the conservation issue.
  • One participant acknowledges confusion regarding the question and notes that the T3 component indicates a violation of isospin conservation, further mentioning a change in the particle involved (k instead of k0bar) and referencing Delta S=2.
  • A later reply expresses gratitude for the responses and indicates that the participant's understanding has improved.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the conservation of isospin, with multiple viewpoints presented regarding the interpretation of isospin values and the implications of the T3 component.

Contextual Notes

Some participants highlight the importance of the T3 component in determining isospin conservation, but there remains uncertainty about the implications of the isospin values and the specific particles involved.

sj8100
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pi+ + p --> Sigma+ + pi+ + K0

Dear forum readers;
I have a simple question.
Could someone tell me the isospin is conserved in the above reaction? This is the way i understood this.

LHS possible Isospin values are 1/2, 3/2
RHS possible Isospin value is 5/2

5/2 is not in LHS. so, isospin is not conserved. Is this right. I am little confused here.

thanks in advanced.
 
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Ispins add like spins so the RHS has any Ispin from 1/2 to 5/2, but 5/2 is excluded by Ispin conservatiion.
 


Hint: Look at the T3 component of isospin.
 


Vanadium 50 said:
Hint: Look at the T3 component of isospin.
But that doesn't rule out I=5/2. Ispin conservation is needed for that.
 


Look at the T3 components of both sides.
 


Oh, I got confused by the question and the k instead of k0bar.
Of course, T_3 shows it violates Ispin.
Even more strongly, it is Delta S=2.
 


Thanks for the replies. Things are clear to me now. thanks.
 

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