2020
DOI: 10.1103/physrevc.101.021301
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Beyond the charge radius: The information content of the fourth radial moment

Abstract: Measurements of atomic transitions in different isotopes offer key information on the nuclear charge radius. The anticipated high-precision experimental techniques, augmented by atomic calculations, will soon enable extraction of the higher-order radial moments of the charge density distribution. To assess the value of such measurements for nuclear structure research, we study the information content of the fourth radial moment r 4 by means of nuclear density functional theory and a multiple correlation analys… Show more

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Cited by 58 publications
(47 citation statements)
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“…Comparisons with direct measurements of atomic states provide a valuable benchmark to assist the extraction of nuclear structure observables with high accuracy 31,35 . In addition, the development of high-accuracy atomic calculations has the potential to probe new aspects of the atomic nucleus and its interactions [36][37][38][39][40][41] .…”
mentioning
confidence: 99%
“…Comparisons with direct measurements of atomic states provide a valuable benchmark to assist the extraction of nuclear structure observables with high accuracy 31,35 . In addition, the development of high-accuracy atomic calculations has the potential to probe new aspects of the atomic nucleus and its interactions [36][37][38][39][40][41] .…”
mentioning
confidence: 99%
“…b Ground-state change in mean-squared charge radii for 96−104 Ag (in-source RIS) and 114−121 Ag (collinear laser spectroscopy). The data are compared to theoretical calculations with Fy(Δ r , Hartree-Fock-Bogoliubov (HFB)) 43 , UNEDF0 41 and UNEDF2 42 EDFs. The error bars indicate the statistical error.…”
Section: Resultsmentioning
confidence: 99%
“…In order to investigate these qualitative observations in more detail, DFT calculations, using Fayans (Fy) 40 and UNEDF 41 , 42 Skyrme Energy Density Functionals (EDF), were performed. Recently, the effectiveness of the Fy(Δ r , HFB) 43 parameterization on reproducing total radii 14 , 35 , 36 , 44 as well as smaller odd-even variations, such as the odd-even staggering in copper 13 isotopes, was demonstrated. The (Δ r ) parametrization has furthermore demonstrated the ability to reproduce the changes of nuclear charge radii when crossing shell closures for both proton-rich calcium ( Z = 20) isotopes 44 as well as neutron-rich Sn ( Z = 50) 36 isotopes.…”
Section: Discussionmentioning
confidence: 99%
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“…Improvements in highly sensitive detection techniques compatible with precise laser spectroscopy are required to measure the nuclear structure of the most exotic nuclei produced at radioactive beam facilities, important for developing nuclear theories 36,38,40,[107][108][109][110] . In addition, it has many potential applications, such as the separation of nuclear waste 5 , enrichment of nuclear fuel 11 , collection of nuclear isomers 9 , "ultra"-trace analysis 7 , research of nuclear-spin-dependent effects 8,10 and highly-purified nuclear decay spectroscopy 6 .…”
Section: Resultsmentioning
confidence: 99%