1990
DOI: 10.1088/0953-4075/23/11/012
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Reanalysis of the isotope shift and nuclear charge radii in radioactive potassium isotopes

Abstract: Accurate ab initio calculations are presented of the electronic factor F for the field isotope shift in the resonance line in K and for the hyperfine structure of the states involved. The relation between our calculated F value and that obtained from experimental hyperfine structure data is discussed. The isotope shift data by Touchard et al for the chain 38-47K are reanalysed and revised values for 8 ( r 2 ) are presented and compared with corresponding results for neighbouring Ca isotones.

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Cited by 46 publications
(31 citation statements)
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“…To deduce nuclear charge radii from isotope shifts [21], one must determine separately the "normal" mass shift (the trivial reduced mass change with nuclear mass), the "specific" mass shift from the nuclear mass's effect on the electron cloud (determined in [22,23] by comparison to muonic x-ray data for 39,41 K), and from these deduce the "field" shift due to the change in nuclear charge radius. To convert field shifts to charge radii, we can use the same constant of proportionality as calculated in [23] for the D1 line, because in 39,40,41 K the field shifts are known to be the same in D1 and D2 to within 0.3 MHz [19].…”
mentioning
confidence: 99%
“…To deduce nuclear charge radii from isotope shifts [21], one must determine separately the "normal" mass shift (the trivial reduced mass change with nuclear mass), the "specific" mass shift from the nuclear mass's effect on the electron cloud (determined in [22,23] by comparison to muonic x-ray data for 39,41 K), and from these deduce the "field" shift due to the change in nuclear charge radius. To convert field shifts to charge radii, we can use the same constant of proportionality as calculated in [23] for the D1 line, because in 39,40,41 K the field shifts are known to be the same in D1 and D2 to within 0.3 MHz [19].…”
mentioning
confidence: 99%
“…For a many-electron system, the different angular structures of the operators lead to differences in the corrections from the manyelectron interactions, as analysed, e.g. in connection with calculations for K [66] and Fr [67].…”
Section: î ïmentioning
confidence: 99%
“…Using these wavefunctions to evaluate properties gives several corrections to the Dirac-Fock single-particle matrix element. Some of the many-body corrections differ between various operators, due to their different angular structure [66,111].…”
Section: Many-body Effects and Nuclear Charge Distributions In Franciummentioning
confidence: 99%
“…Both electronic factors considered: for the specific mass shift M i SMS and for the field shift F i can be determined ab initio with the use of multiconfiguration nonrelativistic Hartree-Fock (MCHF) [17] or relativistic (MCDF) [18] approximation for the individual levels. The respective formulae have the following form [17]:…”
Section: Ab Initio Multiconfiguration Hartree-fock Calculationsmentioning
confidence: 99%