You have entered a graduate program in particle physics and are learning about the use of symmetry. You begin by repeating the analysis that led to the prediction of the Ω− particle. Nine of the spin- 23 baryons are four Δ particles, each with mass 1232MeV/c2 strangeness 0, and charges +2e,+e,0, and −e; three Σ∗ particles, each with mass 1385MeV/c2, strangeness −1, and charges +e,0, and −e; and two Ξ∗ particles, each with mass 1530MeV/c2, strangeness −2, and charges 0 and −e. (a) Place these particles on a plot of S versus Q. Deduce the Q and S values of the tenth spin- 23 baryon, the Ω− particle, and place it on your diagram. Also label the particles with their masses. The mass of the Ω− is 1672MeV/c2; is this value consistent with your diagram? (b) Deduce the three-quark combinations (of u,d, and s ) that make up each of these ten particles. Redraw the plot of S versus Q from part (a) with each particle labeled by its quark content. What regularities do you see?

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You have entered a graduate program in particle physics and are learning about the use of symmetry. You begin by repeating the analysis that led to the prediction of the Ω− particle. Nine of the spin- 23​ baryons are four Δ particles, each with mass 1232MeV/c2 strangeness 0, and charges +2e,+e,0, and −e; three Σ∗ particles, each with mass 1385MeV/c2, strangeness −1, and charges +e,0, and −e; and two Ξ∗ particles, each with mass 1530MeV/c2, strangeness −2, and charges 0 and −e. (a) Place these particles on a plot of S versus Q. Deduce the Q and S values of the tenth spin- 23​ baryon, the Ω− particle, and place it on your diagram. Also label the particles with their masses. The mass of the Ω− is 1672MeV/c2; is this value consistent with your diagram? (b) Deduce the three-quark combinations (of u,d, and s ) that make up each of these ten particles. Redraw the plot of S versus Q from part (a) with each particle labeled by its quark content. What regularities do you see?

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Question Text	You have entered a graduate program in particle physics and are learning about the use of symmetry. You begin by repeating the analysis that led to the prediction of the $Ω^{-}$ particle. Nine of the spin- $\frac{3}{2}$ baryons are four $Δ$ particles, each with mass $1232 MeV / c^{2}$ strangeness $0,$ and charges $+ 2 e, + e, 0,$ and $- e;$ three $Σ^{}$ particles, each with mass $1385 MeV / c^{2},$ strangeness $- 1,$ and charges $+ e, 0,$ and $- e;$ and two $Ξ $ particles, each with mass $1530 MeV / c^{2}$ , strangeness $- 2,$ and charges 0 and $- e .$ (a) Place these particles on a plot of $S$ versus $Q .$ Deduce the $Q$ and $S$ values of the tenth spin- $\frac{3}{2}$ baryon, the $Ω^{-}$ particle, and place it on your diagram. Also label the particles with their masses. The mass of the $Ω^{-}$ is $1672 MeV / c^{2}$ ; is this value consistent with your diagram? (b) Deduce the three-quark combinations (of $u, d,$ and $s$ ) that make up each of these ten particles. Redraw the plot of $S$ versus $Q$ from part (a) with each particle labeled by its quark content. What regularities do you see?
Topic	All topics
Subject	Physics
Class	Class 12

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