L-S coupling and the magnetic moment of6Li from three-body models

Lehman, D. R.; Parke, William C.

doi:10.1007/bf01076711

Cited by 10 publications

(5 citation statements)

References 13 publications

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“…The hypersphericalexpansion results [37] with yet another smooth NN potential (Gogny-Pires-de Toureil [62]) and the Sack potential are admitted to not have fully converged. But various methods are used to extrapolate to their asymptotic results in Table VI which are in qualitative agreement with those of Table V. The integral equations of [43,48] have to account only for mesh sizes and not a truncation of partial waves. This appears to be well under control as discussed in their papers and as shown by the nice straight line fit in the radius-energy plane (cf.…”

Section: B Comparison With Other Resultsmentioning

confidence: 52%

“…The other examples of calculations in Table VI are those of Bang and Gignoux [33], Danilin et al [37], and Lehman et al [43,48]. None of the inputs exactly match our models a-h, so the comparisons can only be qualitative.…”

Section: B Comparison With Other Resultsmentioning

confidence: 86%

“…2, Table V, and Table VI will now be discussed with these questions in mind. Table VI presents a selection of the results found in the literature with different calculational methods (coordinate-space variational [32,45,59], coordinate-space direct solution of the Faddeev equations [33], hyperspherical expansion [37], and Faddeev integral equations in momentum space [38,48]) applied to a variety of input potentials.…”

Section: Discussionmentioning

confidence: 99%

“…We will now turn to the magnetic moment, which is the q → 0 limit of the transversal form factor. We will use the observation of Lehman et al [48] and others that the magnetic moment for the ground state of 6 Li can be written in terms of probabilities:…”

Section: A Comparison With Experimentsmentioning

confidence: 99%

“…"The transversal form factor F T is expected to be very close to [the pion-nuclear spin form factor] F S el (q) because the convection current contribution almost vanishes in e- 6 Li scattering, if L = 0 is really the dominating configuration in the 6 Li ground-state wave function" [12]. This statement can be quantified at the q → 0 limit by the explicit formula for the orbital contribution µ L to the magnetic moment [48] µ L = 1 2 [ 1 2 P P + P…”

Section: Nucleon Polarization In 6 → LImentioning

confidence: 99%

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Nucleon polarization in three-body models of polarizedLi6

et al. 1993

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Just as 3 → He can be approximately characterized as a polarized neutron target, polarized 6 LiD has been advocated as a good isoscalar nuclear target for the extraction of the polarized gluon content of the nucleon. The original argument rests upon a presumed "alpha + deuteron" picture of 6 Li, with the polarization of the nucleus carried by the polarization of the deuteron. We have calculated the polarization of the constituents of 6 Li as a three-body bound state of α+n+p interacting with local potentials fitted to the scattering data. It is necessary to include partial waves up to j = 17/2 (75 channels, or, when including the T = 1 state, 150 channels) in the Faddeev equations before the energy eigenvalue converges. The longitudinal formfactors are then described well by the wave function. Various combinations of αN and NN strong and Coulomb potentials yield a straight line in the charge radius vs. energy plane which, unlike those of previous calculations, passes through the experimental datum. We find for all cases a polarization of the valence neutron in excess of 90%. This may make polarized 6 LiD an attractive target for many nuclear physics purposes, since its neutrons are effectively 45% polarized.

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Section: B Comparison With Other Resultsmentioning

confidence: 52%

Section: B Comparison With Other Resultsmentioning

confidence: 86%