“Froissart–Stora equation”的意思、由来-开放百科全书

The Froissart–Stora equation describes the change in polarization which a high energy charged particle beam in a storage ring will undergo

^[2] It is named after the French physicists Marcel Froissart and Raymond Stora.

where

is the resonance strength and

is the speed at which the resonance is crossed.

is the initial polarization before resonance crossing.

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.

The Froissart–Stora equation has a direct analogy in condensed matter physics in the Landau-Zener effect.

Other spin-dynamics effects

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 Sokolov–Ternov effect 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.^[4]

Notes

1. ^{{cite journal | url = http://www.sciencedirect.com/science/article/pii/0029554X60900331 | doi=10.1016/0029-554X(60)90033-1 | volume=7 | issue=3 | title=Depolarisation d'un faisceau de protons polarises dans un synchrotron | journal=Nuclear Instruments and Methods | pages=297–305|bibcode = 1960NucIM...7..297F | date=June 1960 | last1=Froissart | first1=Marcel | last2=Stora | first2=Raymond }}
2. ^http://iopscience.iop.org/0034-4885/68/9/R01/ "Spin-polarized charged particle beams in high-energy accelerators" by S. Mane et al. (2005)
3. ^{{cite journal | url = http://www.sciencedirect.com/science/article/pii/0375960182907575 | doi=10.1016/0375-9601(82)90757-5 | volume=87 | issue=9 | title=Dynamics of traversing an avoided level crossing | journal=Physics Letters A | pages=455–456|bibcode = 1982PhLA...87..455T | date=1982-02-08 | last1=Turrin | first1=A. }}
4. ^http://pra.aps.org/abstract/PRA/v37/i2/p456_1 "Calculations of Bell and Leinaas and Derbenev and Kondratenko for radiative electron polarization"