Scalar and vector meson exchange in V->P0P0gamma decays

Abstract

The scalar contributions to the radiative decays of light vector mesons into a pair of neutral pseudoscalars, $V\to P^0{P}^0\gamma$, are studied within the framework of the Linear Sigma Model. This model has the advantage of incorporating not only the scalar resonances in an explicit way but also the constraints required by chiral symmetry. The experimental data on $\varphi \to {\pi }^0{\pi }^0\gamma$, $\varphi \to {\pi }^0\eta \gamma$, $\rho \to {\pi }^0{\pi }^0\gamma$ and $\omega \to {\pi }^0{\pi }^0\gamma$ are satisfactorily accommodated in our framework. Theoretical predictions for $\varphi \to K^0{\bar{K}}^0\gamma$, $\rho \to {\pi }^0\eta \gamma$, $\omega \to {\pi }^0\eta \gamma$ and the ratio $\varphi \to f_0\gamma /a_0\gamma$ are also given.

arXiv comment42 pages, 11 figures. A new paragraph explaining the seminal contribution of Ref. [19] is added

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Cited by in corpus (13)

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• A theoretical analysis of the doubly radiative decays ${\eta }^{(\prime )}\to {\pi }^0\gamma \gamma$ and ${\eta }^{\prime }\to \eta \gamma \gamma$
• The decay ϕ-> f_0(980) γand the process e^+e^- -> ϕf_0(980)
• Refining the scalar and tensor contributions in $\tau \to \pi \pi \pi {\nu }_{\tau }$ decays
• rho(omega)-> pi^0 pi^0 gamma, rho(omega) -> eta pi^0 gamma decays in the local quark Nambu--Jona-Lasinio model
• The phi->K0K0gamma decay
• Linear Sigma Model predictions for V->Sgamma and S->Vgamma decays
• Sensitivity of the ${\eta }^{(\prime )}\to {\pi }^0\gamma \gamma$ and ${\eta }^{\prime }\to \eta \gamma \gamma$ decays to a sub-GeV leptophobic $U(1{)}_B$ boson
• Leptophobic dark photon interpretation of the ${\eta }^{\left(\prime \right)}\to {\pi }^0\left(\eta \right)\gamma \gamma$ puzzle
• Asymmetry observables in e+ e- --> pi+ pi- gamma in the phi region within a chiral unitary approach
• Strong interaction between kaons in the reactions e+ e- --> K+ K- gamma and e+ e- --> K0 K0bar gamma