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TMF, 2005, Volume 143, Number 2, Pages 258–277 (Mi tmf1814)  

This article is cited in 12 scientific papers (total in 12 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

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

DOI: https://doi.org/10.4213/tmf1814

Full text: PDF file (280 kB)
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English version:
Theoretical and Mathematical Physics, 2005, 143:2, 704–719

Bibliographic databases:

Received: 21.07.2004

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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  • http://mi.mathnet.ru/eng/tmf/v143/i2/p258

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Krutov AF, Troitsky VE, “Deuteron tensor polarization component T-20(Q(2)) as a crucial test for deuteron wave functions”, Physical Review C, 75:1 (2007), 014001  crossref  adsnasa  isi  elib  scopus  scopus
    2. Krutov, AF, “Asymptotic behavior of the deuteron form factors in the two-nucleon model and electron scattering experiments at GeV energies at JLab”, Physical Review C, 78:4 (2008), 044002  crossref  adsnasa  isi  elib  scopus  scopus
    3. Krutov, AF, “Asymptotic estimation of some multiple integrals and the electromagnetic deuteron form factors at high momentum transfer”, Journal of Physics A-Mathematical and Theoretical, 41:25 (2008), 255401  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    4. Krutov A.F., Lisienkova M.V., Troitsky V.E., “Semileptonic decays of mesons in Poincaré-invariant potential model”, International Workshop on Quantum Optics 2007, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 7024, 2008, 2409–2409  isi
    5. Krutov A.F., Troitsky V.E., Tsirova N.A., “Mathematical analysis of the asymptotic behavior of the electromagnetic deuteron form factors at high momentum transfer”, International Workshop on Quantum Optics 2007, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 7024, 2008, 2410–2410  isi
    6. Krutov, AF, “Instant form of Poincaré,-invariant quantum mechanics and description of the structure of composite systems”, Physics of Particles and Nuclei, 40:2 (2009), 136  crossref  adsnasa  isi  scopus  scopus
    7. V. V. Andreev, A. F. Krutov, “Elektromagnitnye formfaktory mezonov”, PFMT, 2011, no. 1(6), 7–19  mathnet
    8. Troitsky S.V., Troitsky V.E., “Transition From a Relativistic Constituent-Quark Model to the Quantum-Chromodynamical Asymptotics: a Quantitative Description of the Pion Electromagnetic Form Factor at Intermediate Values of the Momentum Transfer”, Phys. Rev. D, 88:9 (2013), 093005  crossref  adsnasa  isi  scopus
    9. A. F. Krutov, R. G. Polezhaev, V. E. Troitsky, “Describing radiation decay using the instant form of relativistic quantum mechanics”, Theoret. and Math. Phys., 184:2 (2015), 1148–1162  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    10. Krutov A.F. Polezhaev R.G. Troitsky V.E., “Radius of the Rho Meson Determined From Its Decay Constant”, Phys. Rev. D, 93:3 (2016), 036007  crossref  adsnasa  isi  scopus  scopus
    11. V. V. Andreev, V. Yu. Gavrish, A. F. Krutov, “Metodika vychisleniya elektroslabykh kharakteristik mezonov v puankare-invariantnoi kvantovoi mekhanike”, PFMT, 2018, no. 1(34), 7–19  mathnet
    12. Troitsky S.V., Troitsky V.E., “Linking Infrared and Ultraviolet Parameters of Pion-Like States in Strongly Coupled Gauge Theories”, Eur. Phys. J. C, 78:11 (2018), 899  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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