“…Evaluating the rescattering term for the γp → γπN process in the soft-photon limit, as done in Eq. (25), ensures us that the full amplitude t γ,γπ satisfies the low energy theorem. Indeed, using Eq.…”
Section: Unitary Model For the γP → γπN Reactionmentioning
confidence: 93%
“…[24]. The data for γp → π + n are from McPherson [25], Fissum [26], MacCormick [23], and Ahrens [24].…”
Section: Unitary Model For the γP → πN Reactionmentioning
confidence: 99%
“…3, we show our results for the total γp → π 0 p cross section with the parameters G M = 3.00 and G E = 0.065, and compare with the data from Refs. [23][24][25][26]. The solid curve denotes the results obtained with our full unitary model while the dotted curve indicates the unitarized ∆ resonance contributions of Eq.…”
Section: Unitary Model For the γP → πN Reactionmentioning
Radiative pion photoproduction in the ∆(1232) resonance region is studied with the aim to access the ∆ + (1232) magnetic dipole moment. We present a unitary model of the γp → γπN (πN = π 0 p, π + n) reactions, where the πN rescattering is included in an on-shell approximation. In this model, the low energy theorem which couples the γp → γπN process in the limit of a soft final photon to the γp → πN process is exactly satisfied. We study the sensitivity of the γp → γπ 0 p process at higher values of the final photon energy to the ∆ + (1232) magnetic dipole moment. We compare our results with existing data and give predictions for forthcoming measurements of angular and energy distributions. It is found that the photon asymmetry and a helicity cross section are particularly sensitive to the ∆ + magnetic dipole moment.
“…Evaluating the rescattering term for the γp → γπN process in the soft-photon limit, as done in Eq. (25), ensures us that the full amplitude t γ,γπ satisfies the low energy theorem. Indeed, using Eq.…”
Section: Unitary Model For the γP → γπN Reactionmentioning
confidence: 93%
“…[24]. The data for γp → π + n are from McPherson [25], Fissum [26], MacCormick [23], and Ahrens [24].…”
Section: Unitary Model For the γP → πN Reactionmentioning
confidence: 99%
“…3, we show our results for the total γp → π 0 p cross section with the parameters G M = 3.00 and G E = 0.065, and compare with the data from Refs. [23][24][25][26]. The solid curve denotes the results obtained with our full unitary model while the dotted curve indicates the unitarized ∆ resonance contributions of Eq.…”
Section: Unitary Model For the γP → πN Reactionmentioning
Radiative pion photoproduction in the ∆(1232) resonance region is studied with the aim to access the ∆ + (1232) magnetic dipole moment. We present a unitary model of the γp → γπN (πN = π 0 p, π + n) reactions, where the πN rescattering is included in an on-shell approximation. In this model, the low energy theorem which couples the γp → γπN process in the limit of a soft final photon to the γp → πN process is exactly satisfied. We study the sensitivity of the γp → γπ 0 p process at higher values of the final photon energy to the ∆ + (1232) magnetic dipole moment. We compare our results with existing data and give predictions for forthcoming measurements of angular and energy distributions. It is found that the photon asymmetry and a helicity cross section are particularly sensitive to the ∆ + magnetic dipole moment.
“…[7] with experimental data from refs. [9][10][11]. Around the ∆-resonance mass, the model overestimates the experimental cross sections by about 10%.…”
Abstract:The beam-helicity asymmetry in associated electroproduction of real photons, ep → eγπN , in the ∆(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 → eγπ 0 p and ep → eγπ + n, from a data set collected with a recoil detector. All asymmetry amplitudes are found to be consistent with zero.
“…This has been experimentally verified in work on positive photopion production. [61][62][63][64][65][66][67][68][69][70][71][72][73] The form of Eq. (8) was limited to first order in pi 2 , w 2 , and k. Higher order terms could have been included, but we felt that the data were not sufficient to determine more parameters.…”
Section: A (Yn -» Ir~p) = 4:irw (W 2 )A 0~mentioning
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