A doubly-magic storage ring EDM measurement method

Abstract: This paper discusses "doubly-magic trap" operation of storage rings with superimposed electric and magnetic bending, to allow the spins of beams of different particle type to be frozen (i.e. both magic) simultaneously. A few doubly-magic cases have been found; one has 86.62990502 MeV frozen spin protons and 30.09255159 MeV frozen spin positrons (with accuracies matching their known magnetic moments) counter-circulating in the same storage ring. (Assuming zero positron EDM value) the positron beam can be used to null the radial magnetic field, enabling the proton EDM to be measured free of the dominant systematic error. The same trick, using 38.6 MeV protons and 39.2 MeV helions (He3) yields the difference of proton and helion EDMs---any measureably large difference would represent physics beyond the standard model---using an inexpensive 10 m bending radius storage ring, and already-proven operational spin control technology.