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The original
Froissart–Stora equation was derived for polarized protons. It may also be applied to polarized electrons in storage rings. In this case, there are additional polarization effects resulting from the synchrotron radiation. In particular, the
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The resonance may be crossed by raising the energy so that the spin tune passes through a resonance, or driven with a transverse magnetic field at a frequency that is in resonance with the spin oscillations.
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describes the polarization due to spin flip radiation. In the case of a non-planar ring, this must be generalized as was done by
Derbenev and Kondratenko.
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Froissart, Marcel; Stora, Raymond (June 1960). "Depolarisation d'un faisceau de protons polarises dans un synchrotron".
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376:"Calculations of Bell and Leinaas and Derbenev and Kondratenko for radiative electron polarization"
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329:"Spin-polarized charged particle beams in high-energy accelerators" by S. Mane et al. (2005)
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The
Froissart–Stora equation has a direct analogy in condensed matter physics in the
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Turrin, A. (1982-02-08). "Dynamics of traversing an avoided level crossing".
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44:. The polarization following passage through the resonance is given by
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is the initial polarization before resonance crossing.
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222:is the speed at which the resonance is crossed.
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36:tune. It is named after the French physicists
24:which a high energy charged particle beam in a
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374:http://pra.aps.org/abstract/PRA/v37/i2/p456_1
327:http://iopscience.iop.org/0034-4885/68/9/R01/
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28:will undergo as it passes through a
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165:{\displaystyle P_{y}=P_{y0}\left}
294:Nuclear Instruments and Methods
397:Eponymous equations of physics
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195:is the resonance strength and
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361:10.1016/0375-9601(82)90757-5
314:10.1016/0029-554X(60)90033-1
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267:Other spin-dynamics effects
215:{\displaystyle \alpha _{0}}
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188:{\displaystyle \epsilon }
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20:describes the change in
18:Froissart–Stora equation
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245:{\displaystyle P_{y0}}
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274:Sokolov–Ternov effect
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392:Accelerator physics
353:1982PhLA...87..455T
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261:Landau–Zener
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26:storage ring
22:polarization
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386:Categories
204:α
183:ϵ
152:−
135:α
114:ϵ
106:π
100:−
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30:resonance
263:effect.
349:Bibcode
302:Bibcode
32:in the
175:where
280:Notes
40:and
34:spin
16:The
357:doi
310:doi
89:exp
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298:7
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124:2
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96:(
86:2
82:[
76:0
73:y
69:P
65:=
60:y
56:P
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