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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 143, Number 2, Pages 258–277
DOI: https://doi.org/10.4213/tmf1814
(Mi tmf1814)
 

This article is cited in 17 scientific papers (total in 17 papers)

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

A. F. Krutova, V. E. Troitskyb

a Samara State University
b Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
References:
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
English version:
Theoretical and Mathematical Physics, 2005, Volume 143, Issue 2, Pages 704–719
DOI: https://doi.org/10.1007/s11232-005-0100-3
Bibliographic databases:
Language: Russian
Citation: A. F. Krutov, V. E. Troitsky, “Construction of form factors of composite systems by a generalized Wigner–Eckart theorem for the Poincaré group”, TMF, 143:2 (2005), 258–277; Theoret. and Math. Phys., 143:2 (2005), 704–719
Citation in format AMSBIB
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\paper Construction of form factors of composite systems by a generalized Wigner--Eckart theorem for the Poincar\'e group
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\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 143
\issue 2
\pages 704--719
\crossref{https://doi.org/10.1007/s11232-005-0100-3}
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Linking options:
  • https://www.mathnet.ru/eng/tmf1814
  • https://doi.org/10.4213/tmf1814
  • https://www.mathnet.ru/eng/tmf/v143/i2/p258
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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