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

  1. Oct 6, 2011 #1
    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.
     
  2. jcsd
  3. Oct 6, 2011 #2

    clem

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    Re: pi+ + p --> Sigma+ + pi+ + K0

    Ispins add like spins so the RHS has any Ispin from 1/2 to 5/2, but 5/2 is excluded by Ispin conservatiion.
     
  4. Oct 6, 2011 #3

    Vanadium 50

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    Re: pi+ + p --> Sigma+ + pi+ + K0

    Hint: Look at the T3 component of isospin.
     
  5. Oct 6, 2011 #4

    clem

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    Re: pi+ + p --> Sigma+ + pi+ + K0

    But that doesn't rule out I=5/2. Ispin conservation is needed for that.
     
  6. Oct 6, 2011 #5

    Vanadium 50

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    Re: pi+ + p --> Sigma+ + pi+ + K0

    Look at the T3 components of both sides.
     
  7. Oct 7, 2011 #6

    clem

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    Re: pi+ + p --> Sigma+ + pi+ + K0

    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.
     
  8. Oct 7, 2011 #7
    Re: pi+ + p --> Sigma+ + pi+ + K0

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