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Manuscript Title: SevenOperators, a Mathematica script for harmonic oscillator nuclear matrix elements arising in semileptonic electroweak interactions
Authors: Wick Haxton, Cecilia Lunardini
Program title: SevenOperators
Catalogue identifier: AEAY_v1_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 179(2008)345
Programming language: Mathematica.
Computer: Any computer running Mathematica; tested on Mac OS X PowerPC(32-bit) running Mathematica 6.0.0.
Operating system: Any running Mathematica.
RAM: Memory requirements determined by Mathematica; 512 MB or greater RAM and hard drive space of at least 3.0 GB recommended
Keywords: Semileptonic weak interactions, multipole operator matrix elements, harmonic oscillator response functions.
PACS: 23.20.Js, 23.40.Hc, 25.30.Pt.
Classification: 17.16, 17.19.

Nature of problem:
Algebraic evaluation of harmonic oscillator nuclear matrix elements for the one-body multipole operators governing semi-leptonic weak interactions, such as charged- or neutral-current neutrino scattering off nuclei.

Solution method:
Mathematica evaluation of associated angular momentum algebra and spherical Bessel function radial integrals.

Running time:
Depends on the complexity of the one-body density matrix employed, but times of a few seconds are typical.