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Homework Help: Particle Strangeness

  1. Jan 13, 2008 #1
    1. The problem statement, all variables and given/known data

    The [tex]\Sigma[/tex] hyperon exists in three charge states (+1,0,-1 in electron charge units) Show that it has strangeness S = -1.

    2. Relevant equations



    3. The attempt at a solution

    I'm not too sure how to approach this question. I've been studying SU(3) quark diagrams where the Sigma's all lie on the S=-1 plane, but I don't think that's what the question is asking. Can anybody offer any insight?
     
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  3. Jan 13, 2008 #2

    Tom Mattson

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    The three charge states tell you something about the 3-component of the isospin. You also know that the sigma is a baryon, so you know its baryon number. Have you been taught a relation between [itex]I_3[/itex], [itex]B[/itex], [itex]Q[/itex], and [itex]S[/itex]? (Hint: Look up Gell-Mann/Nishijima relation)
     
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