Session:
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Post-dealine Session III
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Paper Type:
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Contributed
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Title:
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The Multipole Expansion of the Electric Potential and Non-Spherical Nuclei
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Meeting:
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2014 Summer Meeting: Minneapolis, Minnesota |
Location:
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N/A |
Date:
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Time:
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1:20PM
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Author:
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John Karkheck, Marquette University
414-288-7358, John.Karkheck@marquette.edu
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Co-Author(s):
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None
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Abstract:
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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 non-spherical nuclei to estimate nuclear dimensions. A standard analysis found in nuclear-physics 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 shape-independent nuclear density, results in an exactly solvable cubic equation for the semi-major axis. Comparison is given of results from the two approaches.
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Footnotes:
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None
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Presentation:
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KarkheckAAPTJuly302014.pptx
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