A Mössbauer experiment in a rotating system on the second-order Doppler shift: confirmation of the corrected result by Kündig

Abstract

We present the results of a Mössbauer experiment in a rotating system, whose performance was stimulated by our recent findings (2008 Phys. Scr. 77 035302) and which consisted of the fact that a correct processing of Kündig's experimental data on the subject gives an appreciable deviation of a relative energy shift ΔE/E between emission and absorption resonant lines from the standard prediction based on the relativistic dilation of time (that is, ΔE/E=−v2/2c2 to the accuracy c−2, where v is the tangential velocity of the absorber of resonant radiation, and c is the velocity of light in vacuum). That is, the Kündig result we have corrected becomes ΔE/E=−k(v2/c2), with k=0.596±0.006 (instead of the result k=0.5003±0.006, originally reported by Kündig). In our own experiment, we carried out measurements for two absorbers with a substantially different isomer shift, which allowed us to make a correction of the Mössbauer data regarding vibrations in the rotor system at various rotational frequencies. As a result, we obtained the overall estimation k=0.68±0.03.