Session:

Postdealine Session III

Paper Type:

Contributed

Title:

The Multipole Expansion of the Electric Potential and NonSpherical Nuclei

Meeting:

2014 Summer Meeting: Minneapolis, Minnesota 
Location:

N/A 
Date:


Time:

1:20PM

Author:

John Karkheck, Marquette University
4142887358, John.Karkheck@marquette.edu

CoAuthor(s):

None

Abstract:

The multipole expansion of the electric potential, developed in electrostatics, is a powerful tool for elucidating relationships between shape of electric fields and geometric symmetry of charge distributions. In standard texts, thorough development is given for the first two terms, the monopole and dipole terms. The third term, the quadrupole term, is analytically tractable in symmetric situations such as ellipsoids of revolution which serve as fruitful models for employing the quadrupole moment of nonspherical nuclei to estimate nuclear dimensions. A standard analysis found in nuclearphysics texts employs the assumption that deviations from sphericity are small, a condition that often does not hold. The approach here, based on the assumption of shapeindependent nuclear density, results in an exactly solvable cubic equation for the semimajor axis. Comparison is given of results from the two approaches.

Footnotes:

None

Presentation:

KarkheckAAPTJuly302014.pptx

