Nuclear Ground State Charge Radii from Electromagnetic Interactions

Fricke, G.; Bernhardt, C.; Heilig, K.; Schaller, L. A.; Schellenberg, L.; Shera, E.B.; Dejager, Cw

doi:10.1006/adnd.1995.1007

Cited by 590 publications

(552 citation statements)

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“…[46] instead of Ref. [45], then r np = 0.12 fm is obtained; i.e., the systematic error is −0.04 fm for this case (cf. also the results of Ref.…”

Section: The Zero Nn Range Antiproton-nucleus Potential Of Battymentioning

confidence: 82%

“…[17]) that this is not the case for the radial distances where the antiproton-nucleus interaction takes place in 208 Pb (about 7-10 fm away from the nuclear center, see below). In this figure, the charge density of 208 Pb, tabulated in a number of compilations, is compared with the most recent one by Fricke et al [45]. Neglecting the oldest tabulation, differences of up to 50% are observed between Fricke et al, Jager et al [46], and de Vries et al [47] for radial distances close to 10 fm.…”

Section: B Charge and Proton Distributionsmentioning

confidence: 85%

“…[45]) that the charge rms values are known for the stable nuclei with remarkable precision, about 0.3%. The same belief is often projected on the charge distributions.…”

Section: B Charge and Proton Distributionsmentioning

confidence: 94%

“…[45,47]) whereas point proton distributions are needed when Batty's zero-range antiproton-nucleus optical potential [12] is used for the analysis of the experimental data. For the finite-range version of thep-nucleus potential [10,11] these point distributions are folded over an interaction range.…”

Section: B Charge and Proton Distributionsmentioning

confidence: 99%

“…To transform the 208 Pb proton charge distribution of Ref. [45], we used the proton charge rms radius r 2 p = 0.875 fm [50], obtaining 2pF point proton parameters of c p = 6.684 fm, a p = 0.446 fm, and rms r p = 5.436 fm.…”

Section: B Charge and Proton Distributionsmentioning

confidence: 99%

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Neutron density distributions from antiprotonicPb208andBi209

Kłos¹,

et al. 2007

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The x-ray cascade from antiprotonic atoms was studied for 208 Pb and 209 Bi. Widths and shifts of the levels due to the strong interaction were determined. Using modern antiproton-nucleus optical potentials, the neutron densities in the nuclear periphery were deduced. Assuming two-parameter Fermi distributions (2pF) describing the proton and neutron densities, the neutron rms radii were deduced for both nuclei. The difference of neutron and proton rms radii r np equal to 0.16 ± (0.02) stat ± (0.04) syst fm for 208 Pb and 0.14 ± (0.04) stat ± (0.04) syst fm for 209 Bi were determined, and the assigned systematic errors are discussed. The r np values and the deduced shapes of the neutron distributions are compared with mean field model calculations.

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“…[46] instead of Ref. [45], then r np = 0.12 fm is obtained; i.e., the systematic error is −0.04 fm for this case (cf. also the results of Ref.…”

Section: The Zero Nn Range Antiproton-nucleus Potential Of Battymentioning

confidence: 82%

Section: B Charge and Proton Distributionsmentioning

confidence: 85%

“…[45]) that the charge rms values are known for the stable nuclei with remarkable precision, about 0.3%. The same belief is often projected on the charge distributions.…”

Section: B Charge and Proton Distributionsmentioning

confidence: 94%

Section: B Charge and Proton Distributionsmentioning

confidence: 99%

Section: B Charge and Proton Distributionsmentioning

confidence: 99%

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Neutron density distributions from antiprotonicPb208andBi209

Kłos¹,

et al. 2007

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Two‐step method for precise calculation of core properties in molecules

Титов

Mosyagin

Petrov

et al. 2004

Int J of Quantum Chemistry

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Precise calculations of core properties in heavy-atom systems which are described by the operators heavily concentrated in atomic cores, like to hyperfine structure and P,T-parity nonconservation effects, usually require accounting for relativistic effects. Unfortunately, completely relativistic treatment of molecules containing heavy elements is very consuming already at the stages of calculation and transformation of two-electron integrals with a basis set of four-component spinors.In turn, the relativistic effective core potential (RECP) calculations of valence (spectroscopic, chemical etc.) properties of molecules are very popular because the RECP method allows one to treat quite satisfactory the correlation and relativistic effects for the valence electrons of a molecule and to reduce significantly the computational efforts. The valence molecular spinors are usually smoothed in atomic cores and, as a result, direct calculation of electronic densities near heavy nuclei is impossible.In the paper, the methods of nonvariational and variational one-center restoration of correct shapes of four-component spinors in atomic cores after a two-component RECP calculation of a molecule are discussed. Their efficiency is illustrated in correlation calculations of hyperfine structure and parity nonconservation effects in heavy-atom molecules YbF, BaF, TlF, and PbO.

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Cross Sections for Radiative Recombination and the Photoelectric Effect in the K, L, and M Shells of One-Electron Systems With 1 ≤ Z ≤ 112 Calculated Within an Exact Relativistic Description

Ichihara¹,

Eichler

2000

Atomic Data and Nuclear Data Tables

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Nuclear Ground State Charge Radii from Electromagnetic Interactions

Cited by 590 publications

References 0 publications

Neutron density distributions from antiprotonicPb208andBi209

Neutron density distributions from antiprotonicPb208andBi209

Two‐step method for precise calculation of core properties in molecules

Cross Sections for Radiative Recombination and the Photoelectric Effect in the K, L, and M Shells of One-Electron Systems With 1 ≤ Z ≤ 112 Calculated Within an Exact Relativistic Description

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