Neutron charge radius and the Dirac equation

Details Neutron charge radius and the Dirac equation Neutron charge radius and the Dirac equation

1999-06-05

arxiv.org/abs/nucl-th/9906014v1

Phys.Rev. C60 (1999) 025207

Physics

Nuclear Physics

Nuclear Theory

7 pages, no figures, to appear in Physical Review C

Scientific paper

10.1103/PhysRevC.60.025207

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 $e/6 r^2_{En}$, 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.

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