Elastic scattering of electrons by nuclei of half-integer spin and discrete symmetries

Abstract

Analytical expression is obtained for the right-left asymmetry A_RL^(3/2) for the process of elastic scattering of the longitudinally polarized electrons by nuclei with spin 3/2, described in the framework of Rarita-Schwinger formalism by invariant form factors of electromagnetic and weak vertex functions. It is shown, that this asymmetry directly depends on the nuclear anapole form factors G₁⁽ⁿ⁾, and structurally is equivalent to asymmetry A_RL^(1/2), which arises in electron scattering by proton.