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 TMF, 1998, Volume 116, Number 2, Pages 215–224 (Mi tmf899)

Asymptotic estimates of the pion charge form factor

A. F. Krutova, V. E. Troitskyb

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

Abstract: The asymptotic behavior of the pion charge form factor is obtained in the relativistic Hamiltonian dynamic framework in the limit of infinite momentum transfer and zero mass of the constituent quark. This asymptotic behavior agrees with the perturbative QCD results, is determined only by relativistic kinematics, and is independent of the constituent-quark interaction in the pion.

DOI: https://doi.org/10.4213/tmf899

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English version:
Theoretical and Mathematical Physics, 1998, 116:2, 907–913

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Citation: A. F. Krutov, V. E. Troitsky, “Asymptotic estimates of the pion charge form factor”, TMF, 116:2 (1998), 215–224; Theoret. and Math. Phys., 116:2 (1998), 907–913

Citation in format AMSBIB
\Bibitem{KruTro98} \by A.~F.~Krutov, V.~E.~Troitsky \paper Asymptotic estimates of the pion charge form factor \jour TMF \yr 1998 \vol 116 \issue 2 \pages 215--224 \mathnet{http://mi.mathnet.ru/tmf899} \crossref{https://doi.org/10.4213/tmf899} \zmath{https://zbmath.org/?q=an:0935.81077} \transl \jour Theoret. and Math. Phys. \yr 1998 \vol 116 \issue 2 \pages 907--913 \crossref{https://doi.org/10.1007/BF02557133} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000077128700005} 

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• https://doi.org/10.4213/tmf899
• http://mi.mathnet.ru/eng/tmf/v116/i2/p215

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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, “Relativistic properties of spin and pion electromagnetic structure”, Journal of High Energy Physics, 1999, no. 10, 028
2. Krutov, AF, “On a possible estimation of the constituent-quark parameters from Jefferson Lab experiments on the pion form factor”, European Physical Journal C, 20:1 (2001), 71
3. Krutov, AF, “Relativistic instant-form approach to the structure of two-body composite systems”, Physical Review C, 65:4 (2002), 045501
4. Sengbusch, E, “Pointlike constituent quarks and scattering equivalences”, Physical Review C, 70:5 (2004), 058201
5. 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
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
7. Krutov, AF, “Nonperturbative relativistic approach to pion form factors: Predictions for future JLab experiments”, Physical Review C, 80:5 (2009), 055210
8. Gamzova E.S., Krutov A.F., Troitsky V.E., Tsirova N.A., “Relativistic constituent quark model and experiments at JLab”, Phys Atomic Nuclei, 73:6 (2010), 1026–1031
9. A. F. Krutov, M. A. Nefedov, V. E. Troitsky, “Analytic continuation of the pion form factor from the spacelike to the timelike domain”, Theoret. and Math. Phys., 174:3 (2013), 331–342
10. 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
11. Troitsky S.V., Troitsky V.E., “Constraining Scenarios of the Soft/Hard Transition For the Pion Electromagnetic Form Factor With Expected Data of 12 Gev Jefferson Lab Experiments and of the Electron-Ion Collider”, Phys. Rev. D, 91:3 (2015), 033008
12. 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
13. 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
14. Krutov A.F. Troitsky S.V. Troitsky V.E., “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
15. Krutov A.F., Polezhaev R.G., Troitsky V.E., “Electroweak Properties of Rho-Meson in the Instant Form of Relativistic Quantum Mechanics”, Xxiii International Baldin Seminar on High Energy Physics Problems Relativistic Nuclear Physics and Quantum Chromodynamics (Baldin Ishepp Xxiii), Epj Web of Conferences, 138, eds. Bondarenko S., Burov V., Malakhov A., E D P Sciences, 2017, UNSP 02007
16. 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
17. 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
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