In contrast to a “single particle table-top trap”, an essential feature of a storage ring “trap” is that 1010 or more particles can have their spins aligned in a polarized beam.
This is a nunber of polarized particles large enough for the beam polarization to be detected externally,
and fed back to permit external control of the beam polarization. Though the table large enough
for any such “storage ring trap” is quite large, the level of achievable spin control, though
classical, not quantum mechanical, can be comparable to the control of one or a small number of
polarized particles in a low energy trap.
Motivated to investigate time reversal invariance, especially the detection of non-zero electric
dipole moments (EDMs) this
paper describes the design of a low energy storage ring having the superimposed electric and magnetic
bending needed to “freeze” the spins of polarized beams. For electrons (of either sign) and protons
the spins can be frozen with all-electric bending but, in general, superimposed electric/magnetic bending is
required. Since constructive bending superposition in one direction implies destructive superposition in
the other direction, counter-circulating beams must differ, either in particle type
or momentum, in order for their orbits to be identical.
For globally frozen spin operation the bunch polarizations remain constant relative to the momenta,
for example remaining parallel to the circuating beam momentum vectors. With superimposed electric and magnetic bending,
the globally frozen spin condition can be met over a continua (specific to particle type) of E/B ratios. When this
condition is met, the out-of-plane, EDM-induced precession accumulates monitonically, which is obligatory for
producing a measurably large EDM signal. As Koop has explained, the EDM signal will still accumulate if the
polarization is allowed to “roll like a wheel” around a radial axis.