The charge distribution of 12C

Cardman, L. S.; Lightbody, J. W.; Penner, S.S.; Fivozinsky, S.P.; Maruyama, X.K.; Trower, W.P.; Williamson, S. E.

doi:10.1016/0370-2693(80)90431-1

Cited by 57 publications

(33 citation statements)

References 8 publications

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“…The overall quality of the fit (Table IX, column 1) is reasonable (y /v = 360.6/252). The change in the normalization factor for the absolute NBS data is within the estimated 0.37% uncertainty [32], that for the absolute Mainz data is just outside its estimated 0.4% uncertainty [9], while the IKO normalization factor has changed by an amount that is three times its estimated 0.24% uncertainty [33].…”

Section: A Fourier-bessel Analysis Resultsmentioning

confidence: 98%

“…The present data were analyzed in conjunction with the data of IKO [33], Mainz [9], NBS [32], and Stanford [8]; a total of 275 data points were available, covering a q,~r ange 0.1( q,~( 4.0 fm . As has been discussed above, all data in the region of the first diffraction minimum (1.6( q,tr (1.…”

Section: A Fourier-bessel Analysis Resultsmentioning

confidence: 99%

“…The data sets used are listed in Table IX. The energy ranges of the data from the Instituut voor Kernfysisch Onderzoek (IKO) [33] (20& E0 &80 MeV), the National Bureau of Standards (NBS) [32] (24& E0 &116 MeV) and the University of Mains [9] (100& E0 &320 MeV) have the largest overlap with the low-energy data set of NIKHEF-K. Therefore, the best-fit charge density was determined from these data sets and the NIKHEF-K low-energy data sets at 238 and 243 MeV (run II and IV, see Table II).…”

Section: B Results Of the Static Analysismentioning

confidence: 99%

“…11(a) for the IKO, NBS, Mainz and low-energy NIKHEF-K data; the agreement between experiment, and the predictions of the bestfit density is good. However, in the momentum-transfer range 1.2& q~ff &1.6 fm the NIKHEF-K data appear to be systematically about 1% lower than the fit, The percentage deviation between predictions of the best-6t charge density and cross section values of IKO[33],Mainz [9], and NBS[32] as a function of the effective momentum transfer g,g. The position of the minimum and of the second maximum of the form factor are indicated.…”

mentioning

confidence: 81%

“…The optimum number of terms in the Fourier-Bessel series for de'erent values of R was obtained from the formula: v "=2q "R/m. The cutoA' radius R was varied between 5 and 12 fm in a combined analysis of our measurements with data from earlier measurements [8,9,32,33]. It was found that the fit deteriorated rapidly for R (6 fm, while the description of the data sets hardly changed for 6 & R &10 fm (see Fig.…”

Section: E Cross Section Uncertaintiesmentioning

confidence: 94%

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Energy dependence of the form factor for elastic electron scattering fromC12

et al. 1991

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A static analysis of measurements of C elastic electron-scattering cross sections demonstrates unambiguously the existence of a form-factor energy dependence beyond that due to Coulomb distortion effects. This energy dependence increases smoothly as a function of momentum transfer and incident energy in the region covered by the experiments (1.0( g,s (2.3 fm, 240( Ee (690 MeV).Outside the first diffraction minimum the discrepancies between the form factors deduced from data obtained at different energies are as large as GF0, in the minimum discrepancies as large as 18% have been observed. Including dispersion corrections which are reasonably compatible with this observed energy dependence in the analysis of the data increases the rms charge radius deduced for C by 0.007 to 2.478(9) fm, which is in excellent agreement with the value from muonic x-ray studies.

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Section: A Fourier-bessel Analysis Resultsmentioning

confidence: 98%

Section: A Fourier-bessel Analysis Resultsmentioning

confidence: 99%

Section: B Results Of the Static Analysismentioning

confidence: 99%

mentioning

confidence: 81%

Section: E Cross Section Uncertaintiesmentioning

confidence: 94%

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Energy dependence of the form factor for elastic electron scattering fromC12

et al. 1991

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Realistic nuclear charge distribution model function for analytic nuclear attraction integrals in Gaussian basis functions

Inoue

Nakajima

2023

J Comput Chem

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In electronic structure theory, the charge distribution of a nucleus is usually approximated by point charge, Gaussian function, or homogeneously charged sphere, because they have an analytical nuclear attraction integral (NAI) formula. However, these functions do not always provide good approximations for nuclei with large mass number. The two‐parameter Fermi (2pF) distribution and more realistic distributions describe well even nuclei with large mass number but do not have analytical NAI formulas. We propose a new function model called augmented Gaussian 12 (AG12), which has sufficient number of parameters and analytical NAI formulas. With the proposed fitting scheme, the AG12 charge distribution model optimally reproduces 2pF and the more realistic charge distributions. Moreover, AG12 fitted to 2pF model reproduces the energy difference of hydrogen‐like ions well between the Gaussian distribution and 2pF models. Calculations using AG12 also suggested necessity to use more realistic nuclear charge distributions than 2pF.

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6-C Carbon

Fricke

Heilig

Nuclear Charge Radii

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The charge distribution of 12C

Cited by 57 publications

References 8 publications

Energy dependence of the form factor for elastic electron scattering fromC12

Energy dependence of the form factor for elastic electron scattering fromC12

Realistic nuclear charge distribution model function for analytic nuclear attraction integrals in Gaussian basis functions

6-C Carbon

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