1 / 12

Nuclear Electromagnetic Moments

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 V n goes as (-1) n. QM Analog for the Nucleus.

leland
Download Presentation

Nuclear Electromagnetic Moments

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Nuclear ElectromagneticMoments

  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.

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

  4. 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!

  5. Electric Multipole Moments • All odd electric multipole momentsmust 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

  6. Electric Multipole Moments • In more general terms -- • All odd electric multipole momentsmust 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!

  7. 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 chargee moving with velocity v, we get --

  8. Magnetic Multipole Moments • If i is due to a single chargee moving with velocity v, we get --

  9. In the QM regime, this becomes --

  10. g-factors For the proton For the neutron

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

More Related