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 TMF, 2010, Volume 165, Number 1, Pages 48–69 (Mi tmf6563)

Electromagnetic properties of non-Dirac particles with rest spin $1/2$

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia

Abstract: We resolve a number of questions related to an analytic description of electromagnetic form factors of non-Dirac particles with the rest spin $1/2$. We find the general structure of a matrix antisymmetric tensor operator. We obtain two recurrence relations for matrix elements of finite transformations of the proper Lorentz group and explicit formulas for a certain set of such elements. Within the theory of fields with double symmetry, we discuss writing the components of wave vectors of particles in the form of infinite continued fractions. We show that for $Q^2\le0.5$ {(GeV/c)}$^2$, where $Q^2$ is the transferred momentum squared, electromagnetic form factors that decrease as $Q^2$ increases and are close to those experimentally observed in the proton can be obtained without explicitly introducing an internal particle structure.

Keywords: electromagnetic form factor, tensor operator, finite Lorentz transformation, infinite continued fraction

DOI: https://doi.org/10.4213/tmf6563

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English version:
Theoretical and Mathematical Physics, 2010, 165:1, 1275–1292

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Document Type: Article

Citation: L. M. Slad, “Electromagnetic properties of non-Dirac particles with rest spin $1/2$”, TMF, 165:1 (2010), 48–69; Theoret. and Math. Phys., 165:1 (2010), 1275–1292

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/tmf6563
• https://doi.org/10.4213/tmf6563
• http://mi.mathnet.ru/eng/tmf/v165/i1/p48

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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. L. M. Slad, “Some field-theoretical aspects of two types of the Poincaré group representations”, Internat. J. Modern Phys. A, 29:2 (2014), 1450020, 32 pp.
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