Table of experimental nuclear ground state charge radii: An update

Abstract

The present table contains experimental root-mean-square (rms) nuclear charge radii R obtained by combined analysis of two types of experimental data: (i) radii changes determined from optical and, to a lesser extent, K α X-ray isotope shifts and (ii) absolute radii measured by muonic spectra and electronic scattering experiments. The table combines the results of two working groups, using respectively two different methods of evaluation, published in ADNDT earlier. It presents an updated set of rms charge radii for 909 isotopes of 92 elements from 1 H to 96 Cm together, when available, with the radii changes from optical isotope shifts. Compared with the last published tables of R-values from 2004 (799 ground states), many new data are added due to progress recently achieved by laser spectroscopy up to early 2011. The radii changes in isotopic chains for He, Li, Be, Ne, Sc, Mn, Y, Nb, Bi have been first obtained in the last years and several isotopic sequences have been recently extended to regions far off stability, (

The limits of the nuclear landscape explored by the relativistic continuum Hartree–Bogoliubov theory

“…15, the charge radii calculated by the RCHB theory with PC-PK1 are shown as a function of neutron number in comparison with the data available. The charge radii in the RCHB calculations reproduce the experiment quite well for the nuclei with data available [90], and the charge radii of the nuclei without experimental data are predicted.…”

“…The binding energy per nucleon E b /A, two-neutron S 2n , two-proton S 2p , one-neutron S n and one-proton separation energy S p for each nucleus are also provided. In addition, the available experimental binding energies [6] and charge radii [90] are shown for comparison. There are totally 9035 nuclei from O(Z = 8) to Z = 120 which are predicted to be bound by the RCHB theory with the relativistic density functional PC-PK1.…”

“…16, the available experimental charge radii, the RCHB calculated charge radii with PC-PK1, and the difference between the RCHB calculated charge radii and the experimental data [90] are shown. One can see that most deviations are in the range of −0.05 ∼ 0.05 fm, and the rms deviation σ of the RCHB calculations from the data is 0.0358 fm, which is in comparison with the results from the RHB calculations for NL3* σ = 0.0407 fm, for DD-ME2 σ = 0.0376 fm, for DD-MEδ σ = 0.0412 fm, for DD-PC1 σ = 0.0402 fm [25], the HFB calculations σ =0.026 fm [94], and the formula based on the Weizsacker-Skyrme mass model σ =0.022 fm [95].…”

QED radiative corrections and many-body effects in atoms: vacuum polarization and binding energy shifts in alkali metals

“…[27]. We have found that there is agreement to all digits presented for bindingenergy shifts calculated using the step-function density expression for the Uehling potential, Eq.…”

“…We take the nuclear density to correspond to the two-parameter Fermi distribution, with the nuclear thickness (90% to 10% fall-off) taken to be 2.3 fm for all atoms and the half-density radii found from the root-mean-square radii of Ref. [27]. For E119, we take r rms = 6.5 fm, within the range predicted from HartreeFock-BCS theory [29].…”