Calculating The Magnetic Moment
In the shell model, the magnetic moment of a nucleon of total angular momentum j, orbital angular momentum l and spin s, is given by
By projecting with the total angular momentum j we get
has contributions both from the orbital angular momentum and the spin, with different coefficients g(l) and g(s):
by substituting this back to the formula above and rewriting
For a single nucleon s =1/2. For we get
and for
Read more about this topic: Nuclear Magnetic Moment
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