dorsal/arxiv
View SchemaStrength of Higher-Order Spin-Orbit Resonances
| Authors | Georg H. Hoffstaetter, Mathias Vogt |
|---|---|
| Categories | |
| ArXiv ID | physics/0405108 |
| URL | https://arxiv.org/abs/physics/0405108 |
| DOI | 10.1103/PhysRevE.70.056501 |
| Journal | Phys.Rev. E70 (2004) 056501 |
Abstract
When polarized particles are accelerated in a synchrotron, the spin precession can be periodically driven by Fourier components of the electromagnetic fields through which the particles travel. This leads to resonant perturbations when the spin-precession frequency is close to a linear combination of the orbital frequencies. When such resonance conditions are crossed, partial depolarization or spin flip can occur. The amount of polarization that survives after resonance crossing is a function of the resonance strength and the crossing speed. This function is commonly called the Froissart-Stora formula. It is very useful for predicting the amount of polarization after an acceleration cycle of a synchrotron or for computing the required speed of the acceleration cycle to maintain a required amount of polarization. However, the resonance strength could in general only be computed for first-order resonances and for synchrotron sidebands. When Siberian Snakes adjust the spin tune to be 1/2, as is required for high energy accelerators, first-order resonances do not appear and higher-order resonances become dominant. Here we will introduce the strength of a higher-order spin-orbit resonance, and also present an efficient method of computing it. Several tracking examples will show that the so computed resonance strength can indeed be used in the Froissart-Stora formula. HERA-p is used for these examples which demonstrate that our results are very relevant for existing accelerators.
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"abstract": "When polarized particles are accelerated in a synchrotron, the spin\nprecession can be periodically driven by Fourier components of the\nelectromagnetic fields through which the particles travel. This leads to\nresonant perturbations when the spin-precession frequency is close to a linear\ncombination of the orbital frequencies. When such resonance conditions are\ncrossed, partial depolarization or spin flip can occur. The amount of\npolarization that survives after resonance crossing is a function of the\nresonance strength and the crossing speed. This function is commonly called the\nFroissart-Stora formula. It is very useful for predicting the amount of\npolarization after an acceleration cycle of a synchrotron or for computing the\nrequired speed of the acceleration cycle to maintain a required amount of\npolarization. However, the resonance strength could in general only be computed\nfor first-order resonances and for synchrotron sidebands. When Siberian Snakes\nadjust the spin tune to be 1/2, as is required for high energy accelerators,\nfirst-order resonances do not appear and higher-order resonances become\ndominant. Here we will introduce the strength of a higher-order spin-orbit\nresonance, and also present an efficient method of computing it. Several\ntracking examples will show that the so computed resonance strength can indeed\nbe used in the Froissart-Stora formula. HERA-p is used for these examples which\ndemonstrate that our results are very relevant for existing accelerators.",
"arxiv_id": "physics/0405108",
"authors": [
"Georg H. Hoffstaetter",
"Mathias Vogt"
],
"categories": [
"physics.acc-ph"
],
"doi": "10.1103/PhysRevE.70.056501",
"journal_ref": "Phys.Rev. E70 (2004) 056501",
"title": "Strength of Higher-Order Spin-Orbit Resonances",
"url": "https://arxiv.org/abs/physics/0405108"
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