Theoretical analysis of the $\gamma {\gamma }^{(\ast )}\to {\pi }^0\eta$ process

Abstract

The theoretical analysis of the $\gamma \gamma \to {\pi }^0\eta$ process is presented within the energy range up to 1.4 GeV. The $S$-wave resonance $a_0(980)$ is described involving the coupled channel dispersive framework and the $D$-wave $a_2(1320)$ is approximated as a Breit-Wigner resonance. For the $a_0(980)$ the pole is found on the IV Riemann sheet resulting in a two-photon decay width of ${\Gamma }_{a_0\to \gamma \gamma }=0.27(4)$ keV. The first dispersive prediction is provided for the single-virtual $\gamma {\gamma }^{\ast }(Q^2)\to {\pi }^0\eta$ process in the spacelike region up to $Q^2=1$ GeV${}^2$.

arXiv comment4 pages, 1 figure, proceedings of the MESON2018 (15${}^{\text{th}}$ International Workshop on Meson Physics, KRAKÓW, POLAND, 7th - 12th June 2018)

References in corpus (12)

• omega --> pi0 gamma* and phi --> pi0 gamma* Transition form factors in dispersion theory
• MO analysis of the high statistics Belle results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ with chiral constraints
• Unified dispersive approach to real and virtual photon-photon scattering at low energy
• Theoretical Study of the γγ-->meson-meson Reaction
• High-statistics study of ${\boldmath ηπ^0}$ production in two-photon collisions
• Study of ${\pi }^0$ pair production in single-tag two-photon collisions
• Light-by-light scattering sum rules constraining meson transition form factors
• Fixed-t subtracted dispersion relations for Compton scattering off the nucleon
• Dynamical light vector mesons in low-energy scattering of Goldstone bosons
• Photon-fusion reactions from the chiral Lagrangian with dynamical light vector mesons
• Nature of the a_0(980) Meson in the Light of Photon-Photon Collisions
• Theoretical analysis of the $\gamma \gamma \to {\pi }^0\eta$ process

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• Dispersive analysis of the $\gamma \gamma \to D\bar{D}$ data and the confirmation of the $D\bar{D}$ bound state
• Dispersive analysis of the Primakoff reaction $\gamma K\to K\pi$