Abstract
Spin-resonance strength produced by a localized rf field has been a focus of recent publications [V. S. Morozov et al., Phys. Rev. ST Accel. Beams 7, 024002 (2004).; M. A. Leonova et al. (to be published).; T. Roser, in Handbook of Accelerator Physics and Engineering, edited by A. W. Chao and M. Tigner (World Scientific, Singapore, 1999), p. 151.; M. Bai, W. W. MacKay, and T. Roser, Phys. Rev. ST Accel. Beams 8, 099001 (2005).; V. S. Morozov et al., Phys. Rev. ST Accel. Beams 8, 099002 (2005).]. This paper discusses the debated factor of 2, and provides a formula to calculate the component enhanced by the induced betatron motion.
Highlights
Recent spin-manipulation experiments have made efforts to understand the spin-resonance strength induced by the rf dipole or solenoidal fields in spin manipulations
There is a debate on the factor of 2 in the definition of the resonance strength induced by the rf field
Since the spin manipulation requires absolute knowledge of the spin-resonance strength, it is important to be able to calculate the spin-resonance strength produced by the rf fields
Summary
Recent spin-manipulation experiments have made efforts to understand the spin-resonance strength induced by the rf dipole or solenoidal fields in spin manipulations [1,2]. There is a debate on the factor of 2 in the definition of the resonance strength induced by the rf field [3,4,5], and the enhancement of the spin-resonance strength by more than an order of magnitude [2]. Harmonic modulation to the dipole or the solenoidal field provides a powerful tool in spin and beam manipulations [6,7]. Since the spin manipulation requires absolute knowledge of the spin-resonance strength, it is important to be able to calculate the spin-resonance strength produced by the rf fields.
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