Chirality-asymmetry macroscopic force induced by axion between the α-quartz and copper block

摘要

A macroscopic force induced by the effective potential suggested by Moody and Wilczek between α-quartz crystal and copper block is studied in detail. The matrix elements in the force formula are analyzed according to representations of the non-symmorphic space group P3 _121 of α-quartz crystal. The asymmetry distribution of valence electrons and the selection rules do not cancel the force. We conclude that there exists a CP-violating macroscopic force. According to the limit of the production of the axion coupling constants g _s g _p/?c ≤ 10 ~(-26) at the Compton wavelength λ = 10 ~(-3) m, the macroscopic force between a 0.08 × 0.08 × 0.02 m ~3 block of α-quartz and a 0.08 × 0.08× 0.01 m ~3 copper block with a separation being 0.5 × 10 ~(-3) m in between, is estimated at less than 3.09 × 10 ~(-26) N.