M3Suppression in Hartree-Fock Theory

With a zero-range interaction a valence spin-up neutron will not interact with core spin-up neutrons and hence will not deform them; it will deform spin-down neutrons. This introduces a spin-quadrupole correlation. An ideal operator for probing this correlation is the $M3\mathrm{}$ operator, since this operator is crudely $E2\mathrm{}\times M1\mathrm{}$. The suppression of the $M3\mathrm{}$ moment in ${}_{}{}^{17}{}_{}{}^{}\mathrm{O}$ due to this effect, as well as due to the spin dependence of the interaction, is considered.