A model for pion Delta electroproduction on the proton

Abstract

We have extended a model for the $\gamma N\to \pi \pi N$ reaction to virtual photons and selected the diagrams which have a $\Delta$ in the final state. With this model we have evaluated cross sections for the virtual photon cross section as a function of $Q^2$ for different energies. The agreement found with the ${\gamma }_{v}p\to {\Delta }^0{\pi }^{+}$ and ${\gamma }_{v}p\to {\Delta }^{++}{\pi }^{-}$ reactions is good. The sensitivity of the results to $N\Delta$ transition form factors is also studied. The present reaction, selecting a particular final state, is an extra test for models of the ${\gamma }_{v}N\to \pi \pi N$ amplitude. The experimental measurement of the different isospin channels for this reaction are encouraged as a means to unravel the dynamics of the two pions photoproduction processes.

30 pages, 10 figures (ps files). Major changes added. To be published in Nucl. Phys. A

References in corpus (5)

• Charged current weak electroproduction of Delta resonance
• Approach to Perturbative Results in the N-Delta Transition
• Photoabsorption on a Nucleon in the D_{13} Resonance Energy Region
• A (p/E) Calculation of Strong Pionic Decays of Baryons
• Coherent two pion photoproduction on 12C

Cited by in corpus (9)

• Electromagnetic Meson Production in the Nucleon Resonance Region
• Measurement of $ep\to e^{{}^{\prime }}p{\pi }^{+}{\pi }^{-}$ and baryon resonance analysis
• The role of Delta(1700) excitation and rho production in double pion photoproduction
• Electroproduction of p π^{+} π^{-} off protons at 0.2<Q^{2}<0.6 GeV^{2} and 1.3<W<1.57 GeV with CLAS
• Radiative decay of the Delta(1700)
• The phi NN coupling from chiral loops
• Investigating convergence of the reaction $\gamma p\to {\pi }^{\pm }\Delta$ and tensor meson $a_2$ exchange at high energy
• Charged pion photoproduction with the Delta(1232) baryon beyond the resonance region
• The $\rho NN$ coupling with direct coupling and loops