This article is cited in 19 papers

Construction of form factors of composite systems by a generalized Wigner–Eckart theorem for the Poincaré group

A. F. Krutov^a, V. E. Troitsky<sup>b

a</sup> Samara State University
^b Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

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.

Keywords: Wigner–Eckart theorem, Poincaré group, form factors, composite systems, relativistic Hamiltonian dynamics.

Received: 21.07.2004

DOI: 10.4213/tmf1814

 English version: Theoretical and Mathematical Physics, 2005, 143:2, 704–719

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