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- Title
Construction of form factors of composite systems by a generalized Wigner-Eckart theorem for the Poincaré group.
- Authors
Krutov, A. F.; Troitsky, V. E.
- Abstract
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.
- Subjects
HAMILTONIAN systems; POINCARE series; DIFFERENTIABLE dynamical systems; RELATIVISTIC quantum theory; ELECTROWEAK interactions; ELECTROMAGNETIC interactions; FORM factor (Nuclear physics); SCATTERING (Physics)
- Publication
Theoretical & Mathematical Physics, 2005, Vol 143, Issue 2, p704
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-005-0100-3