Investigating convergence of the reaction $\gamma p\to {\pi }^{\pm }\Delta$ and tensor meson $a_2$ exchange at high energy

Abstract

A Regge approach to the reaction processes $\gamma p\to {\pi }^{-}{\Delta }^{++}$ and $\gamma p\to {\pi }^{+}{\Delta }^0$ is presented for the description of existing data up to $E_{\gamma }=16$ GeV. The model consists of the $t$-channel $\pi (139)+\rho (775)+a_2(1320)$ exchanges which are reggeized from the relevant Born amplitude. Discussion is given on the minimal gauge prescription for the $\pi$ exchange to render convergent the divergence of the $u$-channel $\Delta$-pole in the former process. A new Lagrangian is constructed for the $a_{2}N\Delta$ coupling in this work and applied to the process for the first time with the coupling constant deduced from the duality plus vector dominance. It is shown that, while the $\pi$ exchange dominates over the process, the role of the $a_2$ exchange is crucial rather than the $\rho$ in reproducing the cross sections for total, differential, and photon polarization asymmetry to agree with data at high energy.

6 pages, 4 figures, 1 table

References in corpus (3)

• Electromagnetic excitation of the Delta(1232)-resonance
• Evidence for the tensor meson exchange in the kaon photoproduction
• Nondiffractive feature of $\gamma N\to {\rho }^{\pm }N$ with $\rho$-meson electromagnetic multipole moments

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• Features of $\omega$ photoproduction off nucleon target at forward angles : Dominance of $\pi$ exchange with Regge cuts and scaling of differential cross sections
• Photoproduction of $\gamma p\to K^{+}{\Lambda }^{\ast }(1520)$ and decay of ${\Lambda }^{\ast }(1520)\to K^{-}p$ in the Reggeized framework
• Photoproduction of $\gamma N\to K^{+}{\Sigma }^{\ast }(1385)$ in the Reggeized framework
• Regge phenomenology of photoproduction of ${\pi }^{-}{\Delta }^{++}$ and scaling with saturation of trajectory
• The GlueX Experiment: Recent Results and Future Plans
• Reggeized model for $\gamma p\to {\rho }^{-}{\Delta }^{++}(1232)$ photoproduction