Mossbauer experiment in a rotating system: The change of time rate for resonant nuclei due to the motion and interaction energy

Abstract

We verify a hypothesis suggested by the second co-author: the universality for all kinds of interactions change of time rate for any particles/objects as a function of their binding energy, which occurs in addition to relativistic dilation of time. In laboratory scale experiments, this effect can be checked by means of the Mossbauer effect with a resting resonant source and rotating resonant absorber (or vice versa). For the resonant nuclei bound in the solid-state absorber, coupled to a rotor, the additional change of time rate is expected. Correspondingly, an excess of relative energy shift Delta E/E between emission and absorption lines over the relativistic value Delta E/E approximate to -u(2)/2c(2) for freely moving objects is expected. We thus reanalyze the known Mossbauer experiments in rotating systems and show that their results are well fitted into the expression Delta E/E = -k(u(2)/c(2)), with however the coefficient k > 0.5. We describe our own experiment on the subject, where we have measured k = 0.68 +/- 0.03. The result obtained is discussed.