English

Two photon exchange amplitude with \pi N intermediate states: spin-1/2 and spin-3/2 channels

High Energy Physics - Phenomenology 2015-09-16 v1 Nuclear Experiment Nuclear Theory

Abstract

We calculate two-photon exchange (TPE) amplitudes for the elastic electron-proton scattering, and take into account intermediate hadronic states containing \pi N system with total angular momentum 1/2 or 3/2, which includes 8 different channels. This is the improvement of our previous calculation, where only the \pi N states with quantum numbers of \Delta(1232) resonance were included. The results show good consistency with recent experimental data. At high Q^2, newly-calculated contributions affect the correction to the measured proton form factor ratio \mu G_E/G_M. The total correction becomes somewhat smaller compared to our previous work, but is still significant and grows approximately linearly with Q^2. Comparing contributions of different channels, we found that larger contributions come from the channels with quantum numbers of lightest resonances.

Keywords

Cite

@article{arxiv.1506.02682,
  title  = {Two photon exchange amplitude with \pi N intermediate states: spin-1/2 and spin-3/2 channels},
  author = {Dmitry Borisyuk and Alexander Kobushkin},
  journal= {arXiv preprint arXiv:1506.02682},
  year   = {2015}
}

Comments

6 pages, 6 figures