Tensor meson photoproduction as a final state interaction effect

Abstract

The model is presented to describe the f_2(1270) meson photoproduction as a result of pion-pion interactions in the final state. Treating tensor mesons as objects dynamically created due to final state interactions is a convenient and straightforward way to employ data from pi pi scattering like phase shifts and inelasticities for description of (photo)production reactions while retaining proper analytical structure of amplitudes, two particle unitarity and crossing symmetry. The model presented here can provide experimentally testable quantities like differential cross sections and pi pi mass distributions as well as the strengths of partial waves corresponding to various f_2(1270) helicities which are essential for partial wave analyses. It can also be used to compute moments of angular distribution and spin density matrix elements where partial wave interference effects are important.

13 pages, 6 figures

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• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
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• Lightest scalar and tensor resonances in $\gamma \gamma \to \pi \pi$ after the Belle experiment
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Cited by in corpus (9)

• Photoproduction of the $f_2(1270)$ resonance
• From well-known tensor mesons to yet unknown axial-tensor mesons
• Photoproduction of $K^{+}{K}^{-}$ meson pairs on the proton
• The $\gamma p\to n{a}_2^{+}(1320)\to n{\rho }^0{\pi }^{+}$ reactions within an effective Lagrangian approach
• Tensor meson couplings in AdS/QCD
• Meson resonances in forward-angle ${\pi }^{+}{\pi }^{-}$ photoproduction
• Scalar isovector resonance photoproduction through the final state meson-meson interactions
• Direct vs. final state tensor meson photoproduction - amplitude analysis
• $a_0(980)$ photoproduction in the coupled channel model