Model independent analysis of polarization effects in elastic electron deuteron scattering in presence of two--photon exchange

Abstract

The general spin structure of the matrix element, taking into account the two--photon exchange contribution, for the elastic electron (positron) --deuteron scattering has been derived using general symmetry properties of the hadron electromagnetic interaction, such as P--, C-- and T--invariances as well as lepton helicity conservation in QED at high energy. Taking into account also crossing symmetry, the amplitudes of $e^{\mp }d-$scattering can be parametrized in terms of fifteen real functions. The expressions for the differential cross section and for all polarization observables are given in terms of these functions. We consider the case of an arbitrary polarized deuteron target and polarized electron beam (both longitudinal and transverse). The transverse polarization of the electron beam induces a single--spin asymmetry which is non--zero in presence of two--photon exchange. It is shown that elastic deuteron electromagnetic form factors can still be extracted in presence of two photon exchange, from the measurements of the differential cross section and of one polarization observable (for example, the tensor asymmetry) for electron and positron deuteron elastic scattering, in the same kinematical conditions.

arXiv comment28 pages

References in corpus (20)

• The ratio of proton's electric to magnetic form factors measured by polarization transfer
• Measurement of GEp/GMp in ep -> ep to Q2 = 5.6 GeV2
• Proton elastic form factor ratios to $Q^2$ = 3.5 GeV${}^2$ by polarization transfer
• How to reconcile the Rosenbluth and the polarization transfer method in the measurement of the proton form factors
• Two-photon exchange in elastic electron-nucleon scattering
• Electromagnetic structure of the deuteron
• Measurements of electron-proton elastic cross sections for $0.4<Q^2<5.5(GeV/c{)}^2$
• The two-photon exchange contribution to elastic electron-nucleon scattering at large momentum transfer
• Measurement of the vector analyzing power in elastic electron-proton scattering as a probe of double photon exchange amplitudes
• Measurement of the Transverse Beam Spin Asymmetry in Elastic Electron Proton Scattering and the Inelastic Contribution to the Imaginary Part of the Two-Photon Exchange Amplitude
• Large Momentum Transfer Measurements of the Deuteron Elastic Structure Function A(Q^2) at Jefferson Laboratory
• Model independent properties of two-photon exchange in elastic electron proton scattering
• A precise measurement of the deuteron elastic structure function A(Q^2)
• General analysis of polarization phenomena in $e^{+}+e^{-}\to N+\bar{N}$ for axial parametrization of two--photon exchange
• Polarization phenomena in elastic $e^{\mp }N$ scattering, for axial parametrization of two-photon exchange
• Polarization effects in the reaction $\bar{p}+p\to e^{+}+e^{-}$ in presence of two-photon exchange
• The complete experiment for $e^{\mp }N$ elastic scattering in presence of two-photon exchange
• Observables in elastic electron-deuteron scattering with two-photon exchange
• Polarization effects in $e^{+}+e^{-}\to \bar{d}+d$ and determination of time like deuteron form factors
• Polarization observables in elastic electron deuteron scattering including parity and time reversal violating contributions

Cited by in corpus (9)

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• Two-photon exchange effect on deuteron electromagnetic form factors
• The elastic electron-deuteron scattering beyond one-photon exchange
• Radiative corrections to polarization observables in elastic electron-deuteron scattering in leptonic variables
• Estiamte of the two-photon exchange effect on deuteron electromagnetic form factors
• Phenomenological insight into JLab proton polarization data puzzle by deuteron impulse approximation
• Two-photon exchange and elastic scattering of longitudinally polarized electron on polarized deuteron
• Angular Dependence of the Polarization Transfer to the Proton in the $e\vec{p}\to e\vec{p}$ Process
• Cross section and polarization observables for the reaction $e^{+}+e^{-}\to a_1(1260)+\pi$