English

The Dirac Form Factor Predicts the Pauli Form Factor in the Endpoint Model

High Energy Physics - Phenomenology 2016-07-20 v1

Abstract

We compute the momentum-transfer dependence of the proton Pauli form factor F2F_{2} in the endpoint overlap model. We find the model correctly reproduces the scaling of the ratio of F2F_{2} with the Dirac Form factor F1F_{1} observed at the Jefferson Laboratory. The calculation uses the leading-power, leading twist Dirac structure of the quark light-cone wave function, and the same endpoint dependence previously determined from the Dirac form factor F1F_{1}. There are no parameters and no adjustable functions in the endpoint model's prediction for F2F_{2}. The model's predicted ratio F2(Q2)/F1(Q2)F_{2}(Q^{2})/F_{1}(Q^{2}) is quite insensitive to the endpoint wave function, which explains why the observed ratio scales like 1/Q1/Q down to rather low momentum transfers. The endpoint model appears to be the only comprehensive model consistent with all form factor information as well as reproducing fixed-angle proton-proton scattering at large momentum transfer. Any one of the processes is capable of predicting the others.

Keywords

Cite

@article{arxiv.1503.06938,
  title  = {The Dirac Form Factor Predicts the Pauli Form Factor in the Endpoint Model},
  author = {Sumeet Dagaonkar and Pankaj Jain and John P. Ralston},
  journal= {arXiv preprint arXiv:1503.06938},
  year   = {2016}
}

Comments

12 pages, 3 figures

R2 v1 2026-06-22T09:00:25.355Z