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Conference on Precision Electromagnetic Measurements

Interference of atomic states in external field and Lamb shift measurement in hydrogen-like helium

Vitalii G Pal'chikov, Yu. L. Sokolov, Valery P. Yakovlev

Published Nov 7, 2002• 0 citations
Publisher

Abstract

The principles for observation of the stationary interference pattern of 2sand 2p-states in a uniform electric field are formulated. The optimal values of experimental parameters are estimated.
DOI
10.1109/cpem.2000.851164

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A principle is proposed for the observation of the stationary interference pattern of two phase-shifted components of the 2p (or 2s) state of the hydrogen atom (Yu. L. Sokolov, Sov. Phys. JETP 36, 243 (1973)); (Proc. 6-th Internat. Conf. on Atomic Phys., Riga, 1978, p. 207). An atomic interferometer, a device analogous in principle to a two-channel optical (such as Michelson's) interferometer, is used to measure the frequency of the (2s/sub 1/2/, F = 0)--(2p/sub 1/2/, F = 0) transition in the hydrogen atom, which is found to equal 909.9014 +- 0.0019 MHz. The corresponding Lamb shift is delta(H, n = 2) = 1057.8594 +- 0.0019 MHz.
We study the stationary interference of the 2S1/2 or 2P1/2 states due to the passage of metastable hydrogen-like helium ions 4He+ through static electric fields. The basic theory of atomic state interference is presented and experimental conditions allowing observation of the interference pattern with a beam of 4He+ ions are analyzed. We show that optimal conditions are within the reach of modern day experimental techniques. We present theoretical interference curves for two types of atomic interferometers and discuss in detail approaches for the precise measurement of the Lamb shift δn=2 = 2S1/2 – 2P1/2 in 4He+. PACS Nos.: 31.30.Jv, 32.70.Fw, 39.10.+j, 39.20.+q