Analyzing power in elastic scattering of the electrons off a spin-0 target

Abstract

We consider the analyzing power on a spin-0 nuclear target. This observable is related to the imaginary part of the two-photon-exchange (box) diagram. We consider the contributions of elastic and inelastic intermediate states. The former requires knowledge of the elastic nuclear form factor, while the latter uses the optical theorem as input. The elastic contribution scales as the nuclear charge $Z$, while the inelastic contribution as the ratio of the atomic number and nuclear charge, $A/Z$. We provide estimates for ${}^4$He and ${}^{208}$Pb, in the kinematics of existing or upcoming experiments. In both cases, we predict negative values of a few parts per million, and the dominant contribution is due to inelastic contributions. The analyzing power can contribute a substantial systematic error in parity-violating experiments.

6 pages, 8 figure, one table; submitted to Phys.Rev.C; one figure corrrected

References in corpus (18)

• 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
• Precision Rosenbluth measurement of the proton elastic form factors
• Measurements of electron-proton elastic cross sections for $0.4<Q^2<5.5(GeV/c{)}^2$
• 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
• Resonance estimates for single spin asymmetries in elastic electron-nucleon scattering
• Beam normal spin asymmetry in elastic lepton-nucleon scattering
• Collinear Photon Exchange in the Beam Normal Polarization Asymmetry of Elastic Electron-Proton Scattering
• Large Logarithms in the Beam Normal Spin Asymmetry of Elastic Electron--Proton Scattering
• Dispersive contributions to $e^{+}p/e^{-}p$ cross section ratio in forward regime
• The Vector Analyzing Power in Elastic Electron-Nucleus Scattering
• Beam normal spin asymmetry in the quasi-RCS approximation
• The Vector Analyzing Power in Elastic Electron-Proton Scattering
• Two-photon exchange and elastic scattering of electrons/positrons on the proton. (Proposal for an experiment at VEPP-3)
• Doubly virtual Compton scattering and the beam normal spin asymmetry

Cited by in corpus (17)

• Precision Measurement of the Weak Charge of the Proton
• Two-photon exchange in elastic electron-proton scattering
• Electroweak Measurements of Neutron Densities in CREX and PREX at JLab, USA
• Model-dependence of the $\gamma Z$ dispersion correction to the parity-violating asymmetry in elastic $ep$ scattering
• Dispersion $\gamma Z$-box correction to the weak charge of the proton
• New Measurements of the Transverse Beam Asymmetry for Elastic Electron Scattering from Selected Nuclei
• A dispersive approach to two-photon exchange in elastic electron-proton scattering
• New Measurements of the Beam-Normal Single Spin Asymmetry in Elastic Electron Scattering Over a Range of Spin-0 Nuclei
• Target-normal single-spin asymmetry in elastic electron-nucleon scattering
• Beam-Normal Single Spin Asymmetry in Elastic Electron Scattering off ${}^{28}$Si and ${}^{90}$Zr
• Beam-normal single-spin asymmetry in elastic scattering of electrons from a spin-0 nucleus
• Measurement of the Beam-Normal Single-Spin Asymmetry for Elastic Electron Scattering from ${}^{12}$C and ${}^{27}$Al
• Study of Two-Photon Exchange via the Beam Transverse Single Spin Asymmetry in Electron-Proton Elastic Scattering at Forward Angles over a Wide Energy Range
• Lepton mass effects for beam-normal single-spin asymmetry in elastic muon-proton scattering
• General analysis of two--photon exchange in elastic electron--${}^{4}He$ scattering and $e^{+}+e^{-}\to {\pi }^{+}+{\pi }^{-}.$
• Dispersion effects in elastic electron scattering from ${}^{208}$Pb
• Charge and spin asymmetries in elastic lepton-nucleon scattering