Abstract
The theoretical aspects of spin-rotation coupling are presented. The approach is based on the general covariance principle. It is shown that the gyrogravitational ratio of the bare spin-1/2 and the spin-1 particles is equal to unity. That is why spin couples with rotation as an ordinary angular momentum. This result is the rigorous substantiation of the cranking model in which spin-rotation coupling is introduced by means of a unitary rotation. To observe the phenomenon, the experiment with hydrogen-like ions in a storage ring is suggested. The degenerated magnetic sub-states of such ion are split if it circulates in a storage ring along a helical trajectory. It is found that the splitting of the 12S1/2, F = 1/2 hyperfine state of the 140Pr58+ and 142Pm60+ ions in the storage ring ESR in Darmstadt is about 4.5 MHz. We argue that such splitting can be experimentally determined by means of the laser-induced quantum beat spectroscopy or the ionic interferometry.
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