The Vector Analyzing Power in Elastic Electron-Proton Scattering

Details The Vector Analyzing Power in Elastic Electron-Proton Scattering The Vector Analyzing Power in Elastic Electron-Proton Scattering

2004-05-17

arxiv.org/abs/nucl-th/0405044v2

Phys.Rev. C70 (2004) 054003

Physics

Nuclear Physics

Nuclear Theory

24 pages, 11 figures. Typos fixed

Scientific paper

10.1103/PhysRevC.70.054003

We compute the vector analyzing power (VAP) for the elastic scattering of transversely polarized electrons from protons at low energies using an effective theory of electrons, protons, and photons. We study all contributions through second order in $E/M$, where $E$ and $M$ are the electron energy and nucleon mass, respectively. The leading order VAP arises from the imaginary part of the interference of one- and two-photon exchange amplitudes. Sub-leading contributions are generated by the nucleon magnetic moment and charge radius as well as recoil corrections to the leading-order amplitude. Working to ${\cal O}(E/M)^2$, we obtain a prediction for $A_n$ that is free of unknown parameters and that agrees with the recent measurement of the VAP in backward angle $ep$ scattering.

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