# Particle Strangeness

1. Jan 13, 2008

### opous

1. The problem statement, all variables and given/known data

The $$\Sigma$$ 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?

2. Jan 13, 2008

### Tom Mattson

Staff Emeritus
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 $I_3$, $B$, $Q$, and $S$? (Hint: Look up Gell-Mann/Nishijima relation)