Relativistic Charge Form Factor of the Deuteron from (np)-Scattering Phase Shifts

Abstract

Relativistic integral representation in terms of experimental neutron-proton scattering phase shifts is used to compute the charge form factor of the deuteron $G_{Cd}(Q^2)$. The results of numerical calculations of $|G_{Cd}(Q^2)|$ are presented in the interval of the four-momentum transfers squared $0\le Q^2\le 35f{m}^{-2}$. Zero and the prominent secondary maximum in $|G_{Cd}(Q^2)|$ are the direct consequences of the change of sign in the experimental ${}^3{S}_1$- phase shifts. Till the point $Q^2\simeq 20f{m}^{-2}$ the calculated total relativistic correction to $|G_{Cd}(Q^2)|$ is positive and reaches the maximal value of 25% at $Q^2\simeq 14f{m}^{-2}$.

18 pages, 5 eps-figures; typos fixed