A dynamical model for pion electroproduction on the nucleon

Abstract

We develop a Lorenz- and gauge-invariant dynamical model for pion electroproduction in the resonance region. The model is based on solving of the Salpeter (instantaneous) equation for the pion-nucleon interaction with a hadron-exchange potential. We find that the one-particle-exchange kernel of the Salpeter equation for pion electroproduction develops an unphysical singularity for a finite value of $Q^2$. We analyse two methods of dealing with this problem. Results of our model are compared with recent single-polarization data for pion electroproduction.

References in corpus (3)

• Electroexcitation of the P33(1232), P11(1440), D13(1520), S11(1535) at Q^2=0.4 and 0.65(GeV/c)^2
• Measurement of the Polarized Structure Function ${\sigma }_{L{T}^{\prime }}$ for $p(\vec{e},e^{\prime }{\pi }^{+})n$ in the $\Delta (1232)$ Resonance Region
• Pion photoproduction on nucleons in a covariant hadron-exchange model

Cited by in corpus (14)

• Electromagnetic excitation of the Delta(1232)-resonance
• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• Nucleon resonances within a dynamical coupled-channels model of pi N and gamma N reactions
• Coupled-channel dynamics in the reactions piN --> piN, etaN, KLambda, KSigma
• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Gauge-invariant approach to meson photoproduction including the final-state interaction
• Pion photoproduction in a dynamical coupled-channels model
• Dynamical coupled-channels model of $K^{-}p$ reactions (I): Determination of partial-wave amplitudes
• D-state effects in the electromagnetic N-Delta transition
• Cross sections and beam asymmetries for $\vev{e}p \to enπ^+$ in the nucleon resonance region for $1.7\le Q^2\le 4.5(GeV{)}^2$
• Valence quark contribution for the gamma N -> Delta quadrupole transition extracted from lattice QCD
• Electromagnetic Transition Form Factors of Baryon Resonances
• Dynamical Models of the Excitations of Nucleon Resonances
• The Delta(1232) Resonance in Chiral Effective Field Theory