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

Afanasev, Andrei V.; Afanasev, V. D.; Trubnikov, S. V.

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

Authors

Afanasev, Andrei V.

Afanasev, V. D.

Trubnikov, S. V.

Description

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 $0 \leq Q^2 \leq 35 fm^{-2}$. Zero and the prominent secondary maximum in $|G_{Cd}(Q^2)|$ are the direct consequences of the change of sign in the experimental $^3S_1 $- phase shifts. Till the point $Q^2 \simeq 20 fm^{-2}$ the calculated total relativistic correction to $|G_{Cd}(Q^2)|$ is positive and reaches the maximal value of 25% at $Q^2 \simeq 14 fm^{-2}$.
18 pages, 5 eps-figures; typos fixed