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

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.

UDC: 539.376

MSC: Primary 81V45; Secondary 81U05, 81U10

Original article submitted 14/XI/2012
revision submitted – 27/III/2013

DOI: 10.14498/vsgtu1165

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