Single-particle potentials and wave functions in the 1p and 2s-1d shells

Elton, Lewis; Swift, A. M.

doi:10.1016/0375-9474(67)90808-1

Cited by 321 publications

(59 citation statements)

References 41 publications

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“…The parameters V 0 , V so , R, and a were taken from Refs. [47,48]. The nuclear magnetic moment can be evaluated within the SP model to yield [45] …”

Section: Other Corrections a Bohr-weisskopf Correctionmentioning

confidence: 99%

QED calculation of the nuclear magnetic shielding for hydrogenlike ions

et al. 2012

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We report an ab initio calculation of the shielding of the nuclear magnetic moment by the bound electron in hydrogen-like ions. This investigation takes into account several effects that have not been calculated before (electron self-energy, vacuum polarization, nuclear magnetization distribution), thus bringing the theory to the point where further progress is impeded by the uncertainty due to nuclear-structure effects. The QED corrections are calculated to all orders in the nuclear binding strength parameter and, independently, to the leading order in the expansion in this parameter. The results obtained lay the ground for the high-precision determination of nuclear magnetic dipole moments from measurements of the g-factor of hydrogen-like ions.

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“…The parameters V 0 , V so , R, and a were taken from Refs. [47,48]. The nuclear magnetic moment can be evaluated within the SP model to yield [45] …”

Section: Other Corrections a Bohr-weisskopf Correctionmentioning

confidence: 99%

QED calculation of the nuclear magnetic shielding for hydrogenlike ions

et al. 2012

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“…The parameters V 0 , V so , R, and a were taken from Ref. [64], where they were obtained by fitting electron scattering data. The fitting was not evaluated for 9 Be, so we use the parameters for its closest odd-neutron neighbour, 12 C. For 6 Li, the nuclear spin is integer (I = 1), and so one needs to make an additional assumption about the value of the orbital angular momentum of the nucleus.…”

Section: Nuclear Size and Magnetization Distributionmentioning

confidence: 99%

Hyperfine structure of Li andBe+

Yerokhin

2008

Phys. Rev. A

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A large-scale relativistic configuration-interaction (CI) calculation is performed for the magneticdipole and the electric-quadrupole hyperfine structure splitting in 7,6 Li and 9 Be + . Numerical results for the 2 2 S, 3 2 S, 2 2 P 1/2 , and 2 2 P 3/2 states are reported. The CI calculation based on the Dirac-Coulomb-Breit Hamiltonian is supplemented with separate treatments of the QED, nuclearmagnetization distribution, recoil, and negative-continuum effects.

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“…Coupled-channels calculations are shown also, but deviations of a few percent are hardly visible on this scale. For the s-shell we used the parametrization of Elton and Swift [63]. For 15 O we used the same potential shapes and adjusted the central well depths to reproduce the separation energies for each state.…”

Section: A Overlap Functionsmentioning

confidence: 99%

Channel coupling inA(e→,e′N→
Kelly
¹

1999
Phys. Rev. C
45
2
64
0
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The sensitivity of momentum distributions, recoil polarization observables, and response functions for nucleon knockout by polarized electron scattering to channel coupling in final-state interactions is investigated using a model in which both the distorting and the coupling potentials are constructed by folding density-dependent nucleon-nucleon effective interactions with nuclear transition densities. Elastic reorientation, inelastic scattering, and charge exchange are included for all possible couplings within the model space. Calculations for 16 O are presented for 200 and 433 MeV ejectile energies, corresponding to proposed experiments at MAMI and TJNAF, and for 12 C at 70 and 270 MeV, corresponding to experiments at NIKHEF and MIT-Bates. The relative importance of charge exchange decreases as the ejectile energy increases, but remains significant for 200 MeV. Both proton and neutron knockout cross sections for large recoil momenta, p m > 300 MeV/c, are substantially affected by inelastic couplings even at 433 MeV. Significant effects on the cross section for neutron knockout are also predicted at smaller recoil momenta, especially for low energies. Many of the response functions and polarization observables for nucleon knockout are quite sensitive to the coupling scheme, especially those which vanish in the absence of final-state interactions. Polarization transfer for proton knockout is insensitive to channel coupling, even for fairly low ejectile energies, but polarization transfer for neutron knockout retains nonnegligible sensitivity to channel coupling for energies up to about 200 MeV. The present results suggest that possible medium modifications of neutron and proton electromagnetic form factors for Q 2 > ∼ 0.5 (GeV/c) 2 can be studied using recoil polarization with relatively little uncertainty due to final-state interactions.

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Single-particle potentials and wave functions in the 1p and 2s-1d shells

Cited by 321 publications

References 41 publications

QED calculation of the nuclear magnetic shielding for hydrogenlike ions

QED calculation of the nuclear magnetic shielding for hydrogenlike ions

Hyperfine structure of Li andBe+

Channel coupling inA(e→,e′N→
Kelly
¹

1999
Phys. Rev. C
45
2
64
0
View full text Add to dashboard Cite

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Single-particle potentials and wave functions in the 1p and 2s-1d shells

Cited by 321 publications

References 41 publications

QED calculation of the nuclear magnetic shielding for hydrogenlike ions

QED calculation of the nuclear magnetic shielding for hydrogenlike ions

Hyperfine structure of Li andBe+

Channel coupling inA(e→,e′N→Kelly1 1999Phys. Rev. C452640View full textAdd to dashboardCite

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About

Channel coupling inA(e→,e′N→
Kelly
¹

1999
Phys. Rev. C
45
2
64
0
View full text Add to dashboard Cite