Right-left asymmetry in the elastic scattering of polarized electrons at nuclei with allowance for the second Born approximation

A study has been made on the second Born approximation for the cross section and the right-left asymmetry $A_{RL}$ for elastic scattering of longitudinally polarized electrons by zero-spin nuclei. An analytic expression is obtained for this correction in the case of the $lp$-shell nuclei, whose form factors are described by the harmonic-oscillator model. A simple expression has also been found for $A_{RL}$ on the basis of the second Born approximation in the case of point nuclei. The angle dependence of $A_{RL}$ has been studied by reference to $^{12}C$.