Nuclear Electromagnetic Moments

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Nuclear Magnetic Moment
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Presentation transcript:

Nuclear Electromagnetic Moments

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.

Parity of Vn goes as (-1)n

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!

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

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!

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 --

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

In the QM regime, this becomes --

g-factors For the proton For the neutron

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

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