It is shown that writing the correction factor K in the proper form, the value of δ<r 2> derived from the optical isotope shift may be made more reliable. Instead of the generally used parabolic Z dependence, the quantity 1—K depends primarily on the actual slope δ<r 2> /δA, which may vary considerably from one isotope pair to another. This slope dependence is illustrated first for a spherical uniform nuclear charge distribution. Then, the case of the more realistic two-parameter Fermi charge distribution is investigated. Practical formulae of 1—K are given for both model distributions. The improved evaluation is especially important in cases where δ<r 2> values are much lower or higher than the liquid drop value. In these cases the improvement in δ<r 2> values may lead to substantial changes in nuclear structure characteristics, e.g. in deformation parameters. Results are compared to those obtained by an alternative approach, the “two-parameter model” based on a deformed uniform distribution.
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K. Heilig and A. Steudel, Atomic Data and Nuclear Data Tables 14 (1974) 613.
P. Aufmuth, K. Heilig and A. Steudel, Atomic Data and Nuclear Data Tables 37 (1987) 455.
K. Heilig, Hyperfine Interactions 38 (1987) 803.
G. Torbohm, B. Fricke and A. Rosén, Phys. Rev. A31 (1985) 2038.
E.C. Seltzer, Phys. Rev. 188 (1969) 1916.
S.A. Blundell et al., J. Phys. B20 (1987) 3663.
I. Angeli, Heavy Ion Phys. 15 (2002) 87.
S.A. Ahmad et al., Nucl. Phys. A483 (1988) 244.
B. Hoffmann, G. Baur and J. Speth. Z. Phys. A315 (1984) 57.
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Angeli, I. Possible improvements in the derivation of δ<r 2> from optical isotope shifts. APH N.S., Heavy Ion Physics 17, 3–9 (2003). https://doi.org/10.1556/APH.17.2003.1.2