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Isospin Doublet Derivation Using Clebsch-Gordan Coefficients
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[QUOTE="nigelscott, post: 6092947, member: 389949"] [h2]Homework Statement [/h2] I am trying to improve my understanding of the Clebsch-Gordan coefficients. I am looking at page 5 of the following document [URL]https://courses.physics.illinois.edu/phys570/fa2013/chapter3.pdf[/URL] [h2]Homework Equations[/h2] I have derived the result for the I = 3/2 quadruplet but am having a problem with deriving the following I = 1/2 doublet. |1/2,1/2> = (√2/3)uud - √(1/3)√(1/2)(ud + du)u and, |1/2,-1/2> = (√2/3)√(1/2)(ud + du)d - (√2/3)ddu [h2]The Attempt at a Solution[/h2] For starters I think the coefficient (√2/3) should be √(2/3) to get the RHS. I know these states can be obtained via orthogonality, but the paper suggest they can be found using the ladder operators and CG coefficients directly. Any help would be appreciated. [B][/B] [/QUOTE]
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Isospin Doublet Derivation Using Clebsch-Gordan Coefficients
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