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TMF, 2013, Volume 174, Number 3, Pages 383–397 (Mi tmf8406)  

This article is cited in 5 scientific papers (total in 5 papers)

Analytic continuation of the pion form factor from the spacelike to the timelike domain

A. F. Krutova, M. A. Nefedova, V. E. Troitskyb

a Samara State University, Samara, Russia
b Skobeltsyn Institute of Nuclear Physics, Lomonosov State University, Moscow, Russia

Abstract: We solve the problem of analytically continuing the electromagnetic pion form factor into the complex domain of transferred momenta. We treat the pion as a composite quark–antiquark system. We demonstrate that the analytic properties of the form factor calculated in the framework of relativistic quantum mechanics with direct interaction agree with the analytic properties following from the general principles of quantum field theory.

Keywords: form factor, pion, analytic property, relativistic composite quark model

DOI: https://doi.org/10.4213/tmf8406

Full text: PDF file (523 kB)
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English version:
Theoretical and Mathematical Physics, 2013, 174:3, 331–342

Bibliographic databases:

Received: 24.08.2012
Revised: 11.10.2012

Citation: A. F. Krutov, M. A. Nefedov, V. E. Troitsky, “Analytic continuation of the pion form factor from the spacelike to the timelike domain”, TMF, 174:3 (2013), 383–397; Theoret. and Math. Phys., 174:3 (2013), 331–342

Citation in format AMSBIB
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  • http://mi.mathnet.ru/eng/tmf/v174/i3/p383

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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. 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
    2. A. F. Krutov, R. G. Polezhaev, V. E. Troitsky, “Radius of the $\rho$ meson determined from its decay constant”, Phys. Rev. D, 93:3 (2016), 036007  crossref  adsnasa  isi
    3. J. Park, “Euler-Lagrange formulas for pseudo-Kahler manifolds”, J. Geom. Phys., 99 (2016), 239–243  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. A. F. Krutov, S. V. Troitsky, V. E. Troitsky, “The K-meson form factor and charge radius: linking low-energy data to future Jefferson Laboratory measurements”, Eur. Phys. J. C, 77:7 (2017), 464  crossref  isi
    5. Krutov A.F., Troitsky V.E., “Quadrupole Moments of the Rho Meson and the S-Wave Deuteron and Some General Constraints on Quadrupole Moments of Spin-1 Systems”, Phys. Rev. D, 99:1 (2019), 014036  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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