Neutron charge radius and the Dirac equation
Nuclear Theory
2016-09-08 v1
Abstract
We consider the Dirac equation for a finite-size neutron in an external electric field. We explicitly incorporate Dirac-Pauli form factors into the Dirac equation. After a non-relativistic reduction, the Darwin-Foldy term is cancelled by a contribution from the Dirac form factor, so that the only coefficient of the external field charge density is , i. e. the root mean square radius associated with the electric Sachs form factor . Our result is similar to a recent result of Isgur, and reconciles two apparently conflicting viewpoints about the use of the Dirac equation for the description of nucleons.
Cite
@article{arxiv.nucl-th/9906014,
title = {Neutron charge radius and the Dirac equation},
author = {M. Bawin and S. A. Coon},
journal= {arXiv preprint arXiv:nucl-th/9906014},
year = {2016}
}
Comments
7 pages, no figures, to appear in Physical Review C