Issue
EPL
Volume 85, Number 4, February 2009
Article Number 40008
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/85/40008
Published online 09 March 2009
EPL, 85 (2009) 40008
DOI: 10.1209/0295-5075/85/40008

Hyperfine level splitting for hydrogen-like ions due to rotation-spin coupling

I. M. Pavlichenkov

Russian Research Center “Kurchatov Institute" - Moscow, 123182, Russia

pavi@mbslab.kiae.ru

received 16 October 2008; accepted in final form 5 February 2009; published February 2009
published online 9 March 2009

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-$\frac{1}{2}$ and the spin-1 particles is equal unity. That is why spin couples with rotation as an ordinary angular momentum. This result is the rigorous substantiation of the cranking model. To observe the phenomenon, the experiment with hydrogen-like ions in a storage ring is suggested. It is found that the splitting of the 12S1/2, F = 1/2 hyperfine state of the 140Pr58+ and 142Pm60+ ions circulating in the storage ring ESR in Darmstadt along a helical trajectory is about 4.5 MHz. We argue that such splitting can be experimentally determined by means of the ionic interferometry.

PACS
04.62.+v - Quantum fields in curved spacetime.
32.10.Fn - Fine and hyperfine structure.
03.75.Dg - Atom and neutron interferometry.

© EPLA 2009