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We investigate the charged pion photoproduction off the proton target with the ∆(1232) baryon in the final state, i.e. γp → π − ∆ ++ (1232) and γp → π + ∆ 0 (1232), based on the effective Lagrangian method, beyond the resonance region, Ecm 2 GeV. We employ the π-and ρ-meson Regge trajectories in the t-channel, in addition to the proton-and ∆-pole, in the s-and u-channels respectively, and the contact-interaction contributions. A specific scheme for the form factor which satisfies the Ward-Takahashi identity, crossing symmetry, and on-shell condition, is taken into account. To discuss the validity of the Regge approach within the Effective Lagrangian method, we also consider a smooth interpolation between the Regge-and Feynman-propagators for the t-channel meson exchanges as a function of √ s. We present the numerical results for the energy and angular dependences of the cross sections, and double-polarization observable. It turns out that the present framework shows the significance of the π-exchange and contact interaction terms to reproduce the experimental data qualitatively well. Especially, the interpolation between the two propagators plays a crucial role to reproduce the high-energy experimental data. The π + decay-angle distribution is also studied using the ∆ ++ -decay frame, i.e. the Gottfried-Jackson frame. The present results will be a useful guide for future high-energy photon-beam experiments.
We investigate the charged pion photoproduction off the proton target with the ∆(1232) baryon in the final state, i.e. γp → π − ∆ ++ (1232) and γp → π + ∆ 0 (1232), based on the effective Lagrangian method, beyond the resonance region, Ecm 2 GeV. We employ the π-and ρ-meson Regge trajectories in the t-channel, in addition to the proton-and ∆-pole, in the s-and u-channels respectively, and the contact-interaction contributions. A specific scheme for the form factor which satisfies the Ward-Takahashi identity, crossing symmetry, and on-shell condition, is taken into account. To discuss the validity of the Regge approach within the Effective Lagrangian method, we also consider a smooth interpolation between the Regge-and Feynman-propagators for the t-channel meson exchanges as a function of √ s. We present the numerical results for the energy and angular dependences of the cross sections, and double-polarization observable. It turns out that the present framework shows the significance of the π-exchange and contact interaction terms to reproduce the experimental data qualitatively well. Especially, the interpolation between the two propagators plays a crucial role to reproduce the high-energy experimental data. The π + decay-angle distribution is also studied using the ∆ ++ -decay frame, i.e. the Gottfried-Jackson frame. The present results will be a useful guide for future high-energy photon-beam experiments.
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