Il Nuovo Cimento A (1965-1970)

, Volume 21, Issue 2, pp 297–328 | Cite as

Corrections to theg - 2 Frequency in weak focusing storage devices due to betatron oscillations

  • J. H. Field
  • G. Fiorentini


Spin motion equations in a rotating rest frame in which the particle’s velocity and acceleration vectors are instantaneously at rest are derived. These equations are used to calculate the corrections due to betatron oscillations to theg - 2 frequency in weak focusing storage devices. The corrections are found up to second order in the (nonlinear) focusing field. Nonresonant and resonant solutions are derived and both magnetic and electric focusing fields are treated. Quantitative estimates are also given of depolarization effects near resonance.

Поправки к частотеg - 2 в слабо фокусируюших накопительных устройствах вследствие бетатронных колебаний


Выводятся уравнения движения спина во врашаюшейся системе координат, в которой векторы скорости и ускорения частицы в данный момент равны нулю. Эти уравнения испольэуются для вычисления поправок, обусловленных бетатронными колебаниями, к частотеg - 2 в слабо фокусируюших накопительных устройствах. Определяются поправки вплоть до второго порядка по (нелинейному) фокусируюшему полю. Выводятся нереэонансные и реэонансные рещения. Рассматриваются магнитные и злектрические фокусируюшие поля. Также приводятся деполяриэапионные зффекты вблиэи реэонанса.


Si deducono le equazioni di moto per lo spin in un sistema di riferimento in cui i vettori velocità ed accelerazione sono costanti del moto. Si usano queste equazioni per calcolare le correzioni alla frequenza dig - 2 in un sistema di accumulazione a fuocheggiamento debole. Si ricavano le correzioni al secondo ordine nel campo fuocheggiante (non lineare). Si discutono soluzioni non risonanti e risonanti, trattando sia il fuocheggiamento elettrico che magnetico. Inoltre si dà una valutazione quantitativa degli effetti di depolarizzazione in prossimità della risonanza.


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Copyright information

© Società Italiana di Fisica 1974

Authors and Affiliations

  • J. H. Field
    • 1
  • G. Fiorentini
    • 1
    • 2
  1. 1.OERNGeneva
  2. 2.Istituto di Fisica, Scuola Normale SuperiorePisa

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