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

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 sat...

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Autori principali: Alexander F Krutov, Roman G Polezhaev
Natura: Articolo
Lingua:English
Pubblicazione: Samara State Technical University 2015-06-01
Serie:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
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Accesso online:https://journals.eco-vector.com/1991-8615/article/viewFile/20452/16699
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author Alexander F Krutov
Roman G Polezhaev
author_facet Alexander F Krutov
Roman G Polezhaev
author_sort Alexander F Krutov
collection DOAJ
description 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.
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spelling doaj.art-9476ae9f3f7b45f2b03564e86dc4cc2c2022-12-22T02:02:56ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812015-06-0119225926910.14498/vsgtu137817872Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincaré-invariant quantum mechanicsAlexander F Krutov0Roman G Polezhaev1Samara State UniversitySamara State UniversityThe 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.https://journals.eco-vector.com/1991-8615/article/viewFile/20452/16699poincaré invariant quantum mechanicsradiative decayselectromagnetic currenttransition formfactor
spellingShingle Alexander F Krutov
Roman G Polezhaev
Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincaré-invariant quantum mechanics
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
poincaré invariant quantum mechanics
radiative decays
electromagnetic current
transition formfactor
title Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincaré-invariant quantum mechanics
title_full Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincaré-invariant quantum mechanics
title_fullStr Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincaré-invariant quantum mechanics
title_full_unstemmed Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincaré-invariant quantum mechanics
title_short Description of radiative decays of $V \to P \gamma^{*}$ in different forms of Poincaré-invariant quantum mechanics
title_sort description of radiative decays of v to p gamma in different forms of poincare invariant quantum mechanics
topic poincaré invariant quantum mechanics
radiative decays
electromagnetic current
transition formfactor
url https://journals.eco-vector.com/1991-8615/article/viewFile/20452/16699
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