Differential Equations and Mathematical Physics

Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincaré-invariant quantum mechanics

A. F. Krutov, R. G. Polezhaev

Samara State University, Samara, 443011, Russian Federation

Abstract: The description of the radiative decays of $V \to P \gamma^*$ in different forms Poincaré invariant quantum mechanics (PIQM) is considered. To construct the matrix element of the electromagnetic current we use the non-diagonal parametrization procedure. The obtained matrix element of the current satisfies the conditions of the Lorentz covariance and conservation. To illustrate this approach in a modified relativistic impulse approximation the description of the radiative transition $\rho \to \pi \gamma^{*}$ is performed. An analytic expression for the transition form factor $F_{\pi \rho}(Q^2)$, matching all forms PIQM, is obtained. Numerical calculations of the transition form factor are made with different model wave functions.

Keywords: Poincaré invariant quantum mechanics, radiative decays, electromagnetic current, transition formfactor.

UDC: 539.126

MSC: 81U05, 81U10

Original article submitted 17/XII/2014
revision submitted – 12/III/2015

DOI: 10.14498/vsgtu1378

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