vestifmИзвестия Национальной академии наук Беларуси. Серия физико-математических наукProceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series1561-24302524-2415The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"vestifm-284Research ArticleФИЗИКАPHYSICSКВАЗИМАГНИТНЫЙ РЕЗОНАНС В ЭКСПЕРИМЕНТАХ ПО ПОИСКУ ЭЛЕКТРИЧЕСКИХ ДИПОЛЬНЫХ МОМЕНТОВ В НАКОПИТЕЛЬНЫХ КОЛЬЦАХQUASI-MAGNETIC RESONANCE IN STORAGE RING ELECTRIC-DIPOLE-MOMENT EXPERIMENTSСиленкоА. Я.SilenkoA. J.

доктор физико- математических наук, ведущий научный сотрудник 

11, ул. Бобруйская, 220030, г. Минск

ведущий научный сотрудник

лаборатория теоретической физики им. Н. Н. Боголюбова

ул. Жолио-Кюри, 6, 141980, г. Дубна, Московская обл.

D. Sc. (Physics and Mathematics), Leading Researcher

11, Bobruiskaya Str., 220030, Minsk

Leading Researcher of the Bogoliubov Laboratory of Theoretical Physics

6, Joliot-Curie Str., 141980, Dubna, Moscow Region

alsilenko@mail.ruИнститут ядерных проблем Белорусского государственного университета; Объединенный институт ядерных исследованийInstitute for Nuclear Problems of the Belarusian State University; Joint Institute for Nuclear Research201723012018047987Copyright © Силенко А.Я., 20182018Силенко А.Я.Silenko A.J.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestifm.belnauka.by/jour/article/view/284

Представлено общее теоретическое описание магнитного резонанса, которое необходимо для детального анализа динамики спина в экспериментах по поиску электрических дипольных моментов в накопительных кольцах. Для произвольной начальной поляризации получены общие формулы, описывающие эволюцию всех компонент вектора поляризации при магнитном резонансе. Рассмотрен квазимагнитный резонанс для частиц и ядер, движущихся в прерывных возмущающих полях ускорителей и накопительных колец. Исследованы отличительные черты квазимагнитных резонансов в экспериментах по поиску электрических дипольных моментов в накопительных кольцах. Выведены формулы для эффекта, обусловленного электрическим дипольным моментом. Обсуждены основные систематические ошибки. 

A general theoretical description of a magnetic resonance is presented. This description is necessary for a detailed analysis of spin dynamics in electric-dipole-moment experiments in storage rings. General formulas describing a behavior of all components of the polarization vector at magnetic resonance are obtained for arbitrary initial polarization. Quasimagnetic resonances for particles and nuclei moving in non-continuous perturbing fields of accelerators and storage rings are considered. Distinguishing features of quasi-magnetic resonances in storage ring electric-dipole-moment experiments are investigated. The formulas for the effect caused by the electric dipole moment are derived. Main systematical errors are discussed. 

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The authors declare that there are no conflicts of interest present.