Coupling of Angular Momenta Isospin Nucleon-Nucleon Interaction
Coupling of Angular Momenta Isospin Nucleon-Nucleon Interaction
Coupling of Angular Momenta Isospin Nucleon-Nucleon Interaction
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Wigner 3-j 3 j symbols<br />
Relation <strong>of</strong> Clebsch-Gordon-coefficients to Wigner 3-j (or 3-jm) symbols:<br />
Symmetry properties:<br />
• 3j symbol is invariant under an even permutation <strong>of</strong> its columns:<br />
•An odd permutation <strong>of</strong> the columns gives a phase factor:<br />
• Changing the sign <strong>of</strong> the m quantum numbers also gives a phase factor:<br />
• Selection rules<br />
The Wigner 3-j is zero unless all<br />
these conditions are satisfied: