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Isotope shifts in electronic and muonic atoms, with application to neodymium This article has been downloaded from IOPscience. Please scroll down to see the full text article. 1971 J. Phys. B: At. Mol. Phys. 4 969 (http://iopscience.iop.org/0022-3700/4/7/011) Download details: IP Address: 141.217.226.59 The article was downloaded on 25/03/2011 at 01:45 Please note that terms and conditions apply. View the table of contents for this issue, or go to the journal homepage for more Home Search Collections Journals About Contact us My IOPscience
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J. Phys. B: htom. RIolec. Phys., 1971,\-01.1. Printed in Great Britain Isotope shifts in electronic and muonic atoms, with application to neodymium D. N. STACEY Clarendon Laboratory, Oxford MS. receiaed 23~d March 1971 Abstract. The different dependence of optical and muonic isotope shifts on the nuclear charge distribution is discussed, with particular reference to the effects of nuclear deformation. This is shown to contribute proportionately less to muonic than to electronic shifts, and the effect is evaluated quanti- tatively as a function of proton number. It is shown that changes in the nuclear charge distribution can be studied in more detail than has preriously been possible, by combining optical and muonic results; the experimental data for neodymium is used to illustrate the analysis. This indicates that the use of data from Coulomb excitation experiments may give rise to serious errors in estimating the contribution of deformation effects to isotope shifts, 1. Introduction The study of the nuclear charge distribution by the isotope shift method has in recent years been extended as a result of investigations using muonic atoms. Electronic and muonic shifts depend on the nuclear charge distribution in different ways; it is the purpose of the present work to point out that by combining the results of the two types of experiment, changes in the charge distribution from isotope to isotope can be studied in more detail than has previously been possible. VVe consider in particular the effects of nuclear deformation, since this is known to contribute significantly in many cases to observed shifts, and apply the results to the case of neodymium, for which there is extensive experimental data. We use the notation given in the review article by Stacey (1 966). A preliminary account of this work was given at the Second International Conference on Atomic Physics, Oxford, 1970 (Stacey 1971). 2. Theory of the deformation effect the change in the mean square radius of the proton distribution from one isotope to another. Barrett (19‘70) has shown that muonic shifts (1S,lz-2P3,z) are closely proportional to 8 (rb- exp( - w)> where k and c/. are given as functions of the charge number 2, If the form of the nuclear charge distribution changes from isotope to isotope, it follows that electronic and muonic isotope shifts arc not simply proportionai to each other. In particular, the muon in the IS level is more sensitive to changes in the charge
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0022-3700_4_7_011 - Home Search Collections Journals About...

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