General Spin Precession and Betatron Oscillation in Storage Ring

Abstract

We give the geralized expression of spin precession of extended bunch particles having both anomalous magnetic and electric dipole moments in storage ring. The transversal betatron oscillation formula of the bunch is also given. The latter is the generalization of the Farley's pitch correction \cite{Farley}, including radial oscillation as well as vertical one. Some useful formulae for muon storage ring are discussed in appendix.

8 pages, two figures

References in corpus (1)

• Comparison of Spin Dynamics in the Cylindrical and Frenet-Serret Coordinate Systems

Cited by in corpus (6)

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• Electric dipole moment of ${}^{13}$C
• Electric dipole moment of the deuteron in the standard model with $NN-\Lambda N-\Sigma N$ coupling
• Nuclear electric dipole moment in the cluster model with a triton: ${}^7$Li and ${}^{11}$B
• General description of spin motion in storage rings in presence of oscillating horizontal fields
• Addenda to General Spin Precession and Betatron Oscillation in Storage Ring