Extracting a value of the slope of the neutron form factor $G_{En}(q^2)$ at $q^2=0$ by reanalysis of the experimental data

Abstract

A new value $b=0.0205\pm 0.0017$ fm${}^2$ of the slope of the neutron form factor $G_{En}(q^2)$ at $q^2=0$ compatible with deuteron properties has been extracted by using a linear relation between $b$ and $A_S^2(1+{\eta }^2)$ we found for a class of nonlocal potential models having the experimental values of both $r_D$ and $Q$. Another {\it model dependent} value $b^{\mathrm{MHKZ}}=0.0206\pm 0.0014$ fm${}^2$, which is also compatible with deuteron properties, has been determined by applying "constrained" unitary transformations to the local MHKZ potential model. The sensitivity of a small changes in the experimental values used for $r_D$ and $Q$ on the value obtained for $b$ is also investigated.

Preprint 17 pages, 4 figures, 2 tables