This article is cited in 3 papers

Describing radiation decay using the instant form of relativistic quantum mechanics

A. F. Krutov^a, R. G. Polezhaev^a, V. E. Troitsky<sup>b

a</sup> Samara State University, Samara, Russia
^b Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia

Abstract: For a transition between states with different total angular momentum values, we develop a method for constructing an electromagnetic current operator that satisfies the Lorentz-covariance and current-conservation conditions. Our method is realized in the framework of an instant form of relativistic quantum mechanics using the general method of relativistic parameterization of matrix elements of local operators. We illustrate the method by calculating the radiation decay of a $\rho$-meson into a pion. In the modified impulse approximation, we obtain an analytic expression for the transition form factor of this process in the form of an integral representation of dispersion type. Results of the numerical calculation agree with the results of calculating the light-front dynamics and with the model of vector meson dominance.

Keywords: electromagnetic current operator, radiation decay, transition form factor, relativistic quantum mechanics.

Received: 13.02.2015
Revised: 08.03.2015

DOI: 10.4213/tmf8870

 English version: Theoretical and Mathematical Physics, 2015, 184:2, 1148–1162

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