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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 184, Number 2, Pages 290–306
DOI: https://doi.org/10.4213/tmf8870
(Mi tmf8870)
 

This article is cited in 2 scientific papers (total in 2 papers)

Describing radiation decay using the instant form of relativistic quantum mechanics

A. F. Krutova, R. G. Polezhaeva, V. E. Troitskyb

a Samara State University, Samara, Russia
b Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (502 kB) Citations (2)
References:
Abstract: For a transition between states with different total angular momentum values, we develop a method for constructing an electromagnetic current operator that satisfies the Lorentz-covariance and current-conservation conditions. Our method is realized in the framework of an instant form of relativistic quantum mechanics using the general method of relativistic parameterization of matrix elements of local operators. We illustrate the method by calculating the radiation decay of a $\rho$-meson into a pion. In the modified impulse approximation, we obtain an analytic expression for the transition form factor of this process in the form of an integral representation of dispersion type. Results of the numerical calculation agree with the results of calculating the light-front dynamics and with the model of vector meson dominance.
Keywords: electromagnetic current operator, radiation decay, transition form factor, relativistic quantum mechanics.
Received: 13.02.2015
Revised: 08.03.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 184, Issue 2, Pages 1148–1162
DOI: https://doi.org/10.1007/s11232-015-0323-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. F. Krutov, R. G. Polezhaev, V. E. Troitsky, “Describing radiation decay using the instant form of relativistic quantum mechanics”, TMF, 184:2 (2015), 290–306; Theoret. and Math. Phys., 184:2 (2015), 1148–1162
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8870
  • https://doi.org/10.4213/tmf8870
  • https://www.mathnet.ru/eng/tmf/v184/i2/p290
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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