Geodesic
Construction of form factors of composite systems by a generalized Wigner--Eckart theorem for the Poincar\'e group
Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 2, pp. 258-277

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We generalize the previously developed relativistic approach for electroweak properties of two-particle composite systems to the case of nonzero spin. This approach is based on the instant form of relativistic Hamiltonian dynamics. We use a special mathematical technique to parameterize matrix elements of electroweak current operators in terms of form factors. The parameterization is a realization of the generalized Wigner–Eckart theorem for the Poincaré group, used when considering composite-system form factors as distributions corresponding to reduced matrix elements. The electroweak-current matrix element satisfies the relativistic covariance conditions and also automatically satisfies the conservation law in the case of an electromagnetic current.
Keywords: Wigner–Eckart theorem, Poincaré group, form factors, composite systems, relativistic Hamiltonian dynamics. 
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     author = {A. F. Krutov and V. E. Troitsky},
     title = {Construction of form factors of composite systems by a generalized {Wigner--Eckart} theorem for the {Poincar\'e} group},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2005_143_2_a5/}
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A. F. Krutov; V. E. Troitsky. Construction of form factors of composite systems by a generalized Wigner--Eckart theorem for the Poincar\'e group. Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 2, pp. 258-277. http://geodesic.mathdoc.fr/item/TMF_2005_143_2_a5/