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Elastic Electron Scattering from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>

L. R. SuelzleDepartment of Physics and High Energy Physics Laboratory, Stanford University, Stanford, CaliforniaM. R. YearianDepartment of Physics and High Energy Physics Laboratory, Stanford University, Stanford, CaliforniaH. CrannellDepartment of Physics and High Energy Physics Laboratory, Stanford University, Stanford, California
1967lv
ABI

Аннотация

The nuclear-charge form factors for elastic electron scattering on ${\mathrm{Li}}^{6}$ and ${\mathrm{Li}}^{7}$ have been determined from measurements at primary beam energies of 100 to 600 MeV. The maximum square of the momentum transferred to the nuclei was 6.9 ${\mathrm{F}}^{\ensuremath{-}2}$. Absolute values of the cross sections were obtained by comparison with the known absolute proton cross section. For measurements at the primary-beam energy of 100 MeV, however, only the ratio of the ${\mathrm{Li}}^{7}$ cross section to the ${\mathrm{Li}}^{6}$ cross section was measured. The charge form factor for ${\mathrm{Li}}^{7}$ could be interpreted in terms of a simple harmonic-oscillator shell model with a quadrupole contribution described by the underformed $p$-shell model. For this model, the rms charge radius was 2.39\ifmmode\pm\else\textpm\fi{}0.03 F, and the electric-quadrupole moment required for the fit was in excellent agreement with the spectroscopic measurements. The ${\mathrm{Li}}^{6}$ charge form factor could not be interpreted either in terms of the simple harmonic-well shell model, or in terms of the modified harmonic-well model in which the $s$ and $p$ nucleons are permitted to move in potential wells of different strengths. The rms radius obtained for a phenomenological fit to the data was 2.54\ifmmode\pm\else\textpm\fi{}0.05 F. The ratio of the ${\mathrm{Li}}^{6}$ and ${\mathrm{Li}}^{7}$ rms radii, as determined from the 100-MeV measurements, was 1.055\ifmmode\pm\else\textpm\fi{}0.008. This is in agreement with the ratio as determined from the best-fit form factors which were obtained from the complete range in ${q}^{2}$ of the data.

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