The determination of the nuclear ground state and transition charge density from measured electron scattering data

Dreher, B.; Friedrich, J.; Merle, K.; Rothhaas, H.; Lührs, G.

doi:10.1016/0375-9474(74)90189-4

Cited by 181 publications

(68 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the Fourier-Bessel expansion (FB), first introduced by Dreher et al [22], the charge density is modelled as a sum of Bessel functions up to some cut-off radius R, and is assumed to be zero thereafter. The form factor is assumed to fall off for large q as q −4 and e −aq 2 ; these result from the distribution of nucleons in the nucleus and from the finite extension of the nucleons respectively.…”

Section: Elastic Electron Scattering and Model Independent Form mentioning

confidence: 99%

Model-independent form factors for spin-independent neutralino–nucleon scattering from elastic electron scattering data

Dūda

Kemper

Gondolo

2007

J. Cosmol. Astropart. Phys.

130

124

View full text Add to dashboard Cite

Theoretical calculations of neutralino cross sections with various nuclei are of great interest to direct dark matter searches such as CDMS, EDELWEISS, ZEPLIN, and other experiments. These cross sections and direct detection rates are generally computed with standard, one or two parameter model-dependent nuclear form factors, which may not exactly mirror the actual form factor for the particular nucleus in question. As is well known, elastic electron scattering can allow for very precise determinations of nuclear form factors and hence nuclear charge densities for spherical or nearspherical nuclei. We use charge densities derived from elastic electron scattering data to calculate model independent form factors for various target nuclei important in dark matter searches, such as Si, Ge, S, Ca and others. We have found that for nuclear recoils in the range of 1-100 keV significant differences in cross sections and rates exist when the model independent form factors are used. DarkSUSY, a publicly-available advanced numerical package for neutralino dark matter calculations, has been modified to include these model independent form factors for select nuclei; these modifications will be available with the code in the next public release, and will allow for a more accurate determination of the neutralino spin independent scattering cross sections and rates with nuclear detectors.

show abstract

Section: Elastic Electron Scattering and Model Independent Form mentioning

confidence: 99%

Model-independent form factors for spin-independent neutralino–nucleon scattering from elastic electron scattering data

Dūda

Kemper

Gondolo

2007

J. Cosmol. Astropart. Phys.

130

124

View full text Add to dashboard Cite

show abstract

“…The charge density may also be constructed from the eigenfunctions of an adjustable single-particle potential of Woods-Saxon or harmonic oscillator type. Also, nearly model-independent charge densities are obtained from a Fourier-Bessel expansion [65] with unknown coefficients. In all these cases the free parameters in the charge distributions are determined from the measured electron scattering data through a least-squares minimization procedure.…”

Section: Elastic Electron-nucleus Scattering In Stable Nucleimentioning

confidence: 99%

Theoretical study of elastic electron scattering off stable and exotic nuclei

et al. 2008

View full text Add to dashboard Cite

Results for elastic electron scattering by nuclei, calculated with charge densities of Skyrme forces and covariant effective Lagrangians that accurately describe nuclear ground states, are compared against experiment in stable isotopes. Dirac partial-wave calculations are performed with an adapted version of the ELSEPA package. Motivated by the fact that studies of electron scattering off exotic nuclei are intended in future facilities in the commissioned GSI and RIKEN upgrades, we survey the theoretical predictions from neutron-deficient to neutron-rich isotopes in the tin and calcium isotopic chains. The charge densities of a covariant interaction that describes the low-energy electromagnetic structure of the nucleon within the Lagrangian of the theory are used to this end. The study is restricted to medium-and heavy-mass nuclei because the charge densities are computed in mean-field approach. Because the experimental analysis of scattering data commonly involves parameterized charge densities, as a surrogate exercise for the yet unexplored exotic nuclei, we fit our calculated mean-field densities with Helm model distributions. This procedure turns out to be helpful to study the neutron-number variation of the scattering observables and allows us to identify correlations of potential interest among some of these observables within the isotopic chains.

show abstract

“…functions [10,11,12,13]. We will give a brief review of the more commonly adopted form factors in next section.…”

Section: Introductionmentioning

confidence: 99%

Determining Nuclear Form factor for Detection of Dark Matter in Relativistic Mean Field Theory

Chen¹,

Luo²,

Li³

et al. 2011

Commun. Theor. Phys.

View full text Add to dashboard Cite

In this work, we derive the nuclear form factor for the spin-independent collision between the WIMPs and nucleus in terms of the relativistic mean field (RMF) theory. Comparison with the traditional form factors which are commonly used in literature is given and it is found that our results are slightly above that of the 2PF model by 4% to 8%, but deviate from the Helm form factor by 15% to 25% for the whole recoil energy spectrum of 0∼ 100 keV. Moreover, taking Xe and Ge as examples, we show the dependence of the form factor on the recoil energy.

show abstract

The determination of the nuclear ground state and transition charge density from measured electron scattering data

Cited by 181 publications

References 14 publications

Model-independent form factors for spin-independent neutralino–nucleon scattering from elastic electron scattering data

Model-independent form factors for spin-independent neutralino–nucleon scattering from elastic electron scattering data

Theoretical study of elastic electron scattering off stable and exotic nuclei

Determining Nuclear Form factor for Detection of Dark Matter in Relativistic Mean Field Theory

Contact Info

Product

Resources

About