The idea of a hidden sector of mirror partners of elementary particles has attracted considerable interest as a possible candidate for dark matter.Recently it was pointed out by Berezhiani and Bento that the present experimental data cannot exclude the possibility of a rapid oscillation of the neutron n to a mirror neutron n′ with oscillation time much smaller than the neutron lifetime. A dedicated search for vacuum transitions n → n′ has to be performed at weak magnetic field, where both states are degenerate. We report the result of our experiment, which compares rates of ultracold neutrons after storage at a weak magnetic field well below 20 nT and at a magnetic field strong enough to suppress the seeked transitions. We obtain a new limit for the oscillation time of n-n' transitions, τ osc (90% C.L.) > 414 s.The corresponding limit for the mixing energy of the normal and mirror neutron states is δm (90% C.L.) < 1.5×10 -18 eV.

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The search for CP violating forces between nucleons in the so-called axion window of force ranges  between 2×10 -5 m and 0.02 m is interesting because only little experimental information is available there. Axion-like particles would induce a pseudo-magnetic field for neutrons close to bulk matter. A laboratory search investigates neutron spin precession close to a heavy mirror using ultracold neutrons in a magnetic resonance spectrometer. From the absence of a shift of the magnetic resonance we established new constraints on the coupling strength of axion-like particles in terms of the product g s g p of scalar and pseudo-scalar dimensionless constants, as a function of the force range , g s g p  2  2×10 -21 [cm 2 ] (C.L.95%) for 10 -4 cm <  < 1 cm. For 0.1 cm <  < 1 cm previous limits are improved by 4 to 5 orders of magnitude.