Mössbauer effect in rotating systems: possible explanation of the extra energy shift

We analyze the Mössbauer experiments in rotating systems, where an absorber orbits around a source of resonant radiation. As the recent measurements indicate, in this configuration the relative energy shift between emission and absorption lines emerges not only due to the dilation of time in the rotating absorber (the second-order Doppler effect), but it is also due to some effect of unknown nature, which contributes more than 20% to the value of the usual relativistic dilation of time. We suggest a physical explanation of such an extra energy shift, based on the Pure Bound Field Theory (PBFT), which we recently suggested (A.L. Kholmetskii et al., Eur. Phys. J. Plus 126, 33 (2011), 126, 35 (2011)). In particular, PBFT predicts the additional dilation of time for electrically bound particles, which, to the accuracy of calculations c^-2, is linearly added to the conventional relativistic time dilation effect. Applying this result to resonant nuclei in a crystal, we obtain a qualitative agreement between calculated and measured data of the extra energy shift between emission and absorption resonant lines for the Mössbauer effect in rotating systems. Some implications of the results obtained are discussed.