Pion electroproduction in the non-relativistic limit

doi:10.1016/0375-9474(81)90505-4

Nuclear Physics A

Volume 362, Issue 2, 8 June 1981, Pages 461-479

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Abstract

Using a model based on the pseudovector Born terms, the Δ(1230) in the s- and u-channels, and the ω-meson, we have obtained pion electroproduction amplitudes from the nucleon in the non-relativistic limit. This model is an extension of the Blomqvist-Laget photopion production model and is in good agreement with experimental data for electron four-mornentum transfer squared up to approximately 0.3 GeV². The electropion production amplitudes we obtain may be used in the investigation of electropion production from nuclei.

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Cited by (12)

Recent Measurements of γ*N → Δ Response Functions at Bates
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A series of high precision measurements on the N → Δ transition involving polarized beams, out-of-plane detection and focal plane polarimetry in the H(e→, e′p)π⁰ and H(e→, e′π⁺)n channels have been pursued at Bates during the last three years. They are geared towards the precise determination of the quadrupole amplitudes in the N → Δ transition and the isolation of the coherent, competing processes at low Q².
A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV *
1999, Nuclear Physics A
A new operator for pion photo- and electroproduction has been developed for nuclear applications at photon equivalent energies up to 1 GeV. The model contains Born terms, vector mesons and nucleon resonances (P₃₃(1232), P₁₁(1440), D₁₃(1520), S₁₁(1535), F₁₅(1680), and D₃₃(1700)). The resonance contributions are included taking into account unitarity to provide the correct phases of the pion photoproduction multipoles. The Q² dependence of electromagnetic resonance vertices is described with appropriate form factors in the electromagnetic helicity amplitudes. Within this model we have obtained good agreement with the experimental data for pion photo- and electroproduction on the nucleon for both differential cross sections and polarization observables. The model can be used as a starting point to predict and analyze forthcoming data.
Coherent pion production on the deuteron spin observables
1994, Nuclear Physics, Section A
Spin observables for electro- and photoproduction of neutral pions on the deuteron are derived. The number of independent amplitudes and observables is discussed and the expression of the observables in terms of ratios of cross-section combinations is given. Besides these model-independent results, approximate symmetries in the observables are discussed. These symmetries become apparent when some simplifying assumptions are made. The latter are relevant, as the full model gives results that are in many cases close to the results for the simplified model.
Electroproduction of charged pions from light nuclei
1989, Annals of Physics
Electroproduction of charged pi mesons from light nuclei to discrete final states is studied in a distorted wave impulse approximation. The Blomqvist and Laget pion photoproduction operator is extended to the case of electroproduction by including virtual photons. Gauge invariance is included in the theory by making the Feynman diagrams for the process individually gauge invariant. Conservation of the electroproduction current and isolation of the electron's kinematical aspects are done by introducing modified virtual photon polarization vectors. Cross section calculations for single nucleon electroproduction performed with the real photoproduction parameters of Blomqvist and Laget and standard forms of electromagnetic form factors agree with data. The single nucleon virtual photoproduction operator is used in a distorted wave impulse approximation to describe electroproduction from a nuclear target leading to a discrete final nuclear state. Nuclear transition densities which enter into elastic electron scattering and electroproduction processes are compared. It is found that because of the change of nuclear isospin, electroproduction provides information on a larger number of transition densities than inelastic electron scattering for a given target nucleus. Methods of integrating over the electron's kinematics are presented for single arm experiments, that is, where only the produced pion is detected. Single arm electroproduction cross sections are calculated for ¹⁰B and ¹²C targets. For the ¹⁰B case, good agreement with data is found. For the ¹²C electroproduction cross sections, no conclusions can be reached because the quality of present data is poor. It is found that in these experiments, contributions to the cross section from longitudinal virtual photon components are negligible because of small values of virtual photon invariant mass.
Discussions of ambiguities on current operators in exclusive (e, e′p) reactions for intermediate electron energy
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^☆: Partially supported by US DOE Grant DE-AC02-79ER-10397.

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Pion electroproduction in the non-relativistic limit☆

Abstract

Nucl. Phys.

Phys. Rev.

Nucl. Phys.

Phys. Rev. Lett.

Nucl. Phys.

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Nucl. Phys.

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