General description of spin motion in storage rings in the presence of oscillating horizontal fields

Research Institute for Nuclear Problems, Belarusian State University - Minsk 220030, Belarus and Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research - Dubna 141980, Russia

Received: 7 June 2017
Accepted: 8 August 2017

Abstract

The general theoretical description of the influence of oscillating horizontal magnetic and quasimagnetic fields on the spin evolution in storage rings is presented. Previous results are generalized to the case in which both of the horizontal components of the oscillating field are nonzero and the vector of this field circumscribes an ellipse. General equations describing a behavior of all components of the polarization vector are derived and the case of an arbitrary initial polarization is considered. The derivation is fulfilled in the case in which the oscillation frequency is nonresonant. The general spin evolution in storage rings conditioned by vertical betatron oscillations is calculated as an example.