Beam-helicity asymmetry in associated electroproduction of real photons ep → eγπN in the Δ-resonance region

The beam-helicity asymmetry in associated electroproduction of real photons, ep -> aEuro parts per thousand e gamma pi N , in the Delta(1232)-resonance region is measured using the longitudinally polarized Hera positron beam and an unpolarized hydrogen target. Azimuthal Fourier amplitudes of this asymmetry are extracted separately for two channels, ep -> aEuro parts per thousand e gamma pi(0) p and ep -> aEuro parts per thousand e gamma pi(+) n, from a data set collected with a recoil detector. All asymmetry amplitudes are found to be consistent with zero.