Features of the Spin-orbital Dynamics of a Polarized Beam in Electrostatic and Magnetostatic Fields in the Study of the Electric Dipole Moment of light Nuclei

In 1967 article, Academician of the USSR Academy of Sciences A.D. Sakharov formulated three necessary conditions that the process of baryogenesis had to satisfy in order for matter and antimatter in the primordial Universe to be produced at different rates. The impetus for the formulation was the discovery of cosmic background radiation and CP parity violation in the system of neutral K mesons. Sakharov’s three necessary conditions are: nonconservation of the baryon number; violation of charge symmetry of C- and CP-symmetry; interaction outside thermal equilibrium. If they exist the electric dipole moment (EDM) of particle violate P- and T-symmetries, which means, according to the CPT theorem, their existence can be associated with the violation of CP symmetry. The Standard Model (SM) of elementary particles allows us to take into account CP violation through the Cabibbo–Kabayashi–Masakawa matrix, however, EDM predicted by it for, for example, a neutron lie in the range from 10⁻³³ to 10⁻³⁰ e cm. In the same time, the SUSY (super symmetry) theory predicts the presence of an EDM of a much larger magnitude (at the level of 10^–29–10^–24 e cm). Thus, the EDM of elementary particles is a sensitive indicator of physics beyond the SM. Currently, purely electrostatic storage rings and with mixed electric and magnetic fields are increasingly used not only in atomic physics, biology and chemistry [1], but also in proposed experiments to search for the electric dipole moment [2]. Presumably, the most successful experiment to search for EDM can be based on measuring spin precession to study EDM. The spin precession frequency is measured with the electric field parallel and antiparallel to the magnetic field. A change in the measured spin precession frequency would be evidence for an EDM.