1. Nuclear Electromagnetic Moments

2. Electric Multipoles
The electric energy associated with the electric charge distribution in the nucleus is determined by the interaction of the nuclear charge distribution with electric fields.

4. Parity of Vn goes as (-1)n

5. QM Analog for the Nucleus
Vn is the multipole operator of order n
 is the nuclear wave function
For all fixed-parity states, the contribution from all odd multipole operators is zero!

6. Electric Multipole Moments
All odd electric multipole moments must vanish for stationary states (e.g., nuclei, nucleons, etc.)
Therefore, nuclei must not have
Electric dipole moments (n = 1)
Electric octupole moments (n = 3)
Etc…
Search for electric dipole moment for neutron

7. Electric Multipole Moments
In more general terms --
All odd electric multipole moments must vanish if the nuclear system is time-reversible - i.e., if it obeys time reversal symmetry.
Find an electric dipole moment for neutron implies time reversal symmetry violation!

8. Magnetic Multipole Moments
Classically, a circulating current induces a magnetic dipole moment --
where A is the area enclosed by i.
If i is due to a single charge e moving with velocity v, we get --

9. Magnetic Multipole Moments
If i is due to a single charge e moving with velocity v, we get --

10. In the QM regime, this becomes --

11. g-factors
For the proton
For the neutron

12. g-factors
For the electron
For the proton
For the neutron