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Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
High-energy Physics and Cosmology
Construction of the electromagnetic current operator in different forms of Poincaré-invariant quantum mechanics
A. F. Krutov, R. G. Polezhaev Samara State University, Samara, 443011, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In an approach of the Poincaré-invariant quantum mechanics in a modified relativistic impulse approximation performed construction of the operator of the electromagnetic current for different forms of dynamics (instant form, point form and dynamics of the light-front). The current operator is constructed according to the conditions of Lorentz covariance and conservation. It is shown that the analytical expressions for the form factor are identical in all forms of dynamics. Numerical calculations of the pion form factor with the wave function obtained by the variational method are in good agreement with experiment.
Keywords:
electromagnetic current, two-body problem, the canonical parameterization
formfactor.
Original article submitted 14/XI/2012 revision submitted – 27/III/2013
Citation:
A. F. Krutov, R. G. Polezhaev, “Construction of the electromagnetic current operator in different forms of Poincaré-invariant quantum mechanics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 243–249
Linking options:
https://www.mathnet.ru/eng/vsgtu1165 https://www.mathnet.ru/eng/vsgtu/v131/p243
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