Geodesic
Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincar\'e-invariant quantum mechanics
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 19 (2015) no. 2, pp. 259-269

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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
Mots-clés : transition formfactor. 
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     author = {A. F. Krutov and R. G. Polezhaev},
     title = {Description of radiative decays of $V \to P \gamma^{*}$ in different forms of {Poincar\'e-invariant} quantum mechanics},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {259--269},
     publisher = {mathdoc},
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     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2015_19_2_a3/}
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A. F. Krutov; R. G. Polezhaev. Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincar\'e-invariant quantum mechanics. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 19 (2015) no. 2, pp. 259-269. http://geodesic.mathdoc.fr/item/VSGTU_2015_19_2_a3/