Two new experiments to probe nuclear moments in atoms

In our previous NMR work, we found an exact form

for the nuclear wave function that easily allows for transitions

between arbitrary states. This was for a magnetic

field B(t) = B₀ z +B₁[x cos(ωt)+ y sin(ωt)], where

B₁ << B₀. We now extend this technique to consider the

interaction of that magnetic field with both the nuclear

and electronic states of an atom. The atomic nuclear

and electronic interactions have the effective bare Hamiltonian

Η₀ = Ω_nI_z ⊗ 1_e + Ω_e1_z ⊗ J_e, where Ω_n,Ω_e are

the Rabi expressions for the nucleus and electrons, respectively.

The model can be solved using standard perturbation

theory, since the exact wave functions for the

nucleus for spin I and the electrons of total angular momentum

J are used. Results for the electric quadrupole

moment and the magnetic octupole moment for general

I, J are found, and some figures for (I, J) = (1, 1/2) and

(3/2, 1/2) are presented