We obtain the magnetic form factor of ${}_{}{}^{17}{}_{}{}^{}\mathrm{O}$ in a microscopic effective operator approach which includes self-consistency effects, first order core polarization, and second order number conserving sets of effective operator diagrams. The self-consistency effects yield a reduction in the cross section ranging from 10% to 20% through the region of experimental data. Core polarization reduces the $M3\mathrm{}$ contribution by a factor of 2 as compared to a factor of 3 reduction obtained by Arima, Horikawa, Hyuga, and Suzuki. In addition, we find the core polarization yields a slight $M1\mathrm{}$ enhancement at its peak and a substantial $M5\mathrm{}$ reduction so that the overall agreement with experiment is poor. We then explore second order core polarization effects and evaluate the two number conserving sets of diagrams. Their contributions are non-negligible but fail to resolve the discrepancy between theory and experiment. We also include an exchange current amplitude. The lack of agreement between theory and experiment invites theoretical attention to additional corrections and to phenomena which may enhance magnetic scattering.

NUCLEAR REACTIONS ${}_{}{}^{17}{}_{}{}^{}\mathrm{O}$($e$,$e$); magnetic form factor, theory including higher order effects. Effective operator within self-consistent framework.

• Received 10 July 1981

DOI:https://doi.org/10.1103/PhysRevC.25.73