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Natural Science Forum / Physics / Particle Physics / December 2006Spin 1/2 Baryons Question?
Hello, Could someone please give me an explanation for the fact that spin 1/2 Baryons in the octet cannot consist of three quarks of the same flavor as the Delta++ for example. THX Jim. > Could someone please give me an explanation for the fact that spin 1/2 > Baryons in the octet > cannot consist of three quarks of the same flavor as the Delta++ for > example. The spin of u is +1/2, so three of them make +3/2. Alike quarks repel, so they don't orbit withwise to make +.5+.5-.5. Besides, the Deltas decay into a nucle?n (1/2) and a pi?n (1), so a Delta is not a nucle?n by definition. -Aut Jim King Wrote: > Hello, > [quoted text clipped - 6 lines] > THX > Jim. The three fermion quarks in a baryon are in a completely antisymmetri state with respect to color. The Pauli principle then requires tha the spin-space wave function be completely symmetric with respect t quark interchange for three identical u quarks. The assumption is mad that the spatial wave function is completely symmetric and has n internal or total orbital angular momentum. This means that the spi state for the three u quarks must be completely symmetric under quar interchange, and the quark spins must add up to the spin of th baryon. The spin state for 1/2+1/2+1/2=3/2 is completely symmetric an corresponds to the Delta++. The spin state for 1/2+1/2+1/2=1/2 has mixed symmetry, and so canno exist for three u quarks -- Meir Achuz Thank You Meir, But why cant the Baryon spin state for quark flavors (u,u,u) be this symmetric combination. (++-) + (+-+) + (-++) ? > Jim King Wrote: >> Hello, [quoted text clipped - 20 lines] > The spin state for 1/2+1/2+1/2=1/2 has mixed symmetry, and so cannot > exist for three u quarks. because it's not? |
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