Abstract
We propose to measure the Sagnac effect for counterpropagating de Broglie waves of π+ or− mesons whose spin is equal to zero. The latter circumstance allows us to avoid the nonreciprocal phase shift of counterpropagating waves, which is related to both the Thomas precession (the effect of the special relativity theory) and the Larmor precession of the spin of elementary particles due to the presence of magnetic fields. Among the advantages of using π mesons, we should mention their electric charge, which allows us to use the well-known devices for focusing, separation, and joining the particle beam, and their comparatively long lifetime. A modulation method for processing the interference signal is proposed. The maximum sensitivity of the above method, which is limited by the shot noise, is estimated.
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