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 TMF, 1975, Volume 25, Number 3, Pages 313–326 (Mi tmf4076)

Asymptotic behavior of form factors and invariant description of the spatial structure of particles

N. B. Skachkov

Abstract: Invariant description of the particle spatial distribution is introduced on the basis of relativistic configurational representation obtained with the aid of expansions over unitary representations of the Lorentz group. A formula which gives the correct “almost dipole” asymptotical behaviour of the proton form-factor $\displaystyle{F_P(t)\to\frac{\ln |t|/M^2}{t^2}}$ at large $-t$ is obtained.

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English version:
Theoretical and Mathematical Physics, 1975, 25:3, 1154–1163

Revised: 25.08.1975

Citation: N. B. Skachkov, “Asymptotic behavior of form factors and invariant description of the spatial structure of particles”, TMF, 25:3 (1975), 313–326; Theoret. and Math. Phys., 25:3 (1975), 1154–1163

Citation in format AMSBIB
\Bibitem{Ska75} \by N.~B.~Skachkov \paper Asymptotic behavior of form factors and invariant description of the spatial structure of particles \jour TMF \yr 1975 \vol 25 \issue 3 \pages 313--326 \mathnet{http://mi.mathnet.ru/tmf4076} \transl \jour Theoret. and Math. Phys. \yr 1975 \vol 25 \issue 3 \pages 1154--1163 \crossref{https://doi.org/10.1007/BF01040123} 

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This publication is cited in the following articles:
1. I. V. Amirkhanov, G. V. Grusha, R. M. Mir-Kassimov, “Three-dimensional formulation of the relativistic two-body problem in terms of rapidities”, Theoret. and Math. Phys., 30:3 (1977), 212–221
2. N. B. Skachkov, I. L. Solovtsov, “Covariant three-dimensional formulation of the composite quark model of mesons”, Theoret. and Math. Phys., 41:2 (1979), 977–986
3. N. B. Skachkov, I. L. Solovtsov, “Description of the form factor of a relativistic two-particle system in the covariant Hamiltonian formulation of quantum field theory”, Theoret. and Math. Phys., 43:3 (1980), 494–502
4. Yu. G. Pavlenko, “Covariant perturbation theory in classical electrodynamics”, Theoret. and Math. Phys., 49:1 (1981), 908–914
5. V. N. Kapshai, N. B. Skachkov, “Exact solution of covariant two-particle one-time equation with superposition of one-boson exchange quasipotentials”, Theoret. and Math. Phys., 53:1 (1982), 963–970
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