Screening corrections to the Rutherford cross section

Huttel, E.; Arnold, W.; Baumgart, Helmut; Clausnitzer, G.

doi:10.1016/0168-583x(85)90050-3

Cited by 45 publications

(11 citation statements)

References 19 publications

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“…Even more important, atomic effects might lead to a shift of resonance energies compared to the case of bare nuclei. As a summary, improved experimental and theoretical studies of nuclear reactions at energies far below the Coulomb barrier might eventually lead to analytic expressions for the screening corrections similar to the case of the Rutherford scattering cross sections [2].…”

Section: Discussionmentioning

confidence: 99%

“…1), the magnitude of the shielding effect becomes significant: the condition R c > R, leads to energies E< Ue= Z1 Z 2 e2/Ra 9 (2) Setting R, equal to the radius of the innermost electrons of the target (or projectile) atoms, i.e., R, ~_ Rn/Z i with the Bohr radius RH, the resulting energies U e for respective examples are listed in Table 1. These energies are all quite low and thus the shielding effects might appear to be effectively unimportant.…”

Section: Introductionmentioning

confidence: 99%

“…The shielding effect reduces the Coulomb barrier and increases the penetration of the Coulomb barrier. Thus, it increases the cross sections of nuclear fusion reactions (and decreases the cross sections of elastic scattering processes [2]). With equation 1 and assuming a constant astrophysical S(E) factor over a relatively small energy interval (e.g., thin target), the enhancement ratio f in fusion cross sections is…”

Section: Introductionmentioning

confidence: 99%

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Effects of electron screening on low-energy fusion cross sections

Assenbaum

Langanke

Rolfs

1987

Z. Physik A - Atomic Nuclei

260

403

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The effects of electron screening on the low-energy cross sections of nuclear fusion reactions of astrophysical interest have been studied within the Born-Oppenheimer approximation using a simplified model. These studies indicate that a significant enhancement of the cross sections can occur already at beam energies, which are about a factor 100 higher than the electron binding energies. Cross sections near such energies can now be measured, in some cases, and several examples are discussed. For an understanding of the low-energy data as well as for a reliable extrapolation of the cross sections (for bare nuclei) to lower energies, the effects of electron screening must be well understood.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effects of electron screening on low-energy fusion cross sections

Assenbaum

Langanke

Rolfs

1987

Z. Physik A - Atomic Nuclei

260

403

View full text Add to dashboard Cite

show abstract

“…For the 12C on Ne, ~SN on C, ~SN on Ne, lSN on Ar, 180 on C, and ~sO on Ar scattering systems, the projectile energies (Table 2) are far below the height of the respective Coulomb barriers Ec (worst case: Ecm/E c = 0.33 for lSN on ~zC), suggesting the validity of the Rutherford scattering law. However, it is well known [29] that electron screening effects can significantly modify the Rutherford scattering cross section at subcoulomb energies. Using the equations given in ref.…”

Section: Mean Detection Anglementioning

confidence: 99%

Hydrogen depth profiling using18O ions

Becker

Bähr

Berheide

et al. 1995

Z. Physik A - Hadrons and Nuclei

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Abstract. Nuclear resonant reaction analysis techniques for hydrogen depth profiling in solid materials typically have used 1 s N ion beams at 6.40 MeV and ~ 9F ion beams at 6.42 MeV, which require a tandem accelerator. We report a new technique using an ~sO ion beam at a resonance energy of 2.70 MeV, which requires only a single stage accelerator. Improved values of the nuclear parameters for the 2.70 MeV (180) and 6.40 MeV (~SN) resonances are reported. The beam energy spread was investigated for different ions and ion charge states and found to scale with the charge state. Data obtained using atomic and molecular gas targets reveal the research potential of Doppler spectroscopy. Examples of hydrogen depth profiling in solid materials using lSN and I80 ion beams are presented.

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“…This can be easily understood by observing that the anomalously large measured nuclear cross sections seem to indicate that nuclei are more transparent to each other. Actually, it is experimentally know that elastic cross sections of charghed nuclei are smaller than the Rutherford values at low energies (Huttel et al 1985), however measurements of interst to stellar physics are so far not available.…”

Section: Nuclear Burning In the Laboratory: Experimental Results And mentioning

confidence: 99%

The fate of Li and Be in stars and in the laboratory

Castellani

Fiorentini

Ricci

et al. 1996

Z. Phys. A — Hadrons and Nuclei

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We connect the observed under-abundances of Li and Be in dwarfs, with recent results on nuclear cross sections at low energies: for collisions of protons with atomic or molecular targets, the measured cross sections seem too high with respect to extrapolations for bare nuclei. Phenomenologically, these anomalous nuclear interactions can be described in terms of an e ective screening potential U lab in the range of few hundred eV: in the presence of the electron cloud, nuclei become more transparent to each other as if the e ective collision energy is aumented by U lab . This implies that fusion cross sections are enlarged and at the same time elastic cross sections are lowered. If something similar occurs in stellar plasma, the nuclear burning temperatures are lowered, whereas di usion processes are enhanced. We nd that the observed Li and Be abundances in the Hyades and in the Sun can be reproduced for e ective screening potentials of the plasma in the range of 600-700 eV, close to that found by experiments in the laboratory. subject headings: stars: abundance-nuclear reactions-di usion.

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Screening corrections to the Rutherford cross section

Cited by 45 publications

References 19 publications

Effects of electron screening on low-energy fusion cross sections

Effects of electron screening on low-energy fusion cross sections

Hydrogen depth profiling using18O ions

The fate of Li and Be in stars and in the laboratory

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