nuclear magnetic moments and electric quadrupole moments

From: Allan Adler (ara_at_nestle.csail.mit.edu)
Date: 11/17/04 

Date: Wed, 17 Nov 2004 16:48:30 +0000 (UTC)

I've been trying to make sense of Goeppert-Mayer's and Jenkins' book
on the nuclear shell model, particularly the discussion in one appendix
of the nuclear wave function for Li7, with spin 3/2 and isobaric spin 1/2.
Here is something, probably easy, that I don't understand.

Suppose you have an eigenfunction for m neutrons and n protons, each with
assigned values of m_j, the eigenfunction being expressed as a Slater
determinant. For example, one of the eigenfunctions for Li7 above is:

|(pi psi^(3/2))(nu psi^(3/2))(nu psi^(-3/2))|

>From the computations of magnetic dipole moments and electric quadrupole
moments given in the same appendix, it seems that such Slater determinants
are eigenfunctions for the operators needed to compute these moments.
Given such a Slater determinant, for m neutrons and n protons, how do
you write down its eigenvalue for the magnetic dipole moment and electric
quadrupole moment? 

-- 
Ignorantly,
Allan Adler <ara@zurich.csail.mit.edu>
* Disclaimer: I am a guest and *not* a member of the MIT CSAIL. My actions and
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