Which values to choose for gl and gs?
The gyromagnetic ratios determine how strongly the nuclear magnetic dipole moment interacts with the electromagnetic field, which directly affects the M1 transition strength. They show up in the $M1$ operator as
$$ \hat{M1} = g_l \hat{L} + g_s \hat{S}. $$
Protons and neutrons have different gyromagnetic ratios. The orbital motion of a charged particle produces a magnetic moment. Since only protons have charge, they alone contribute to the orbital part of the nuclear magnetic moment. The magnetic moment of a moving charge is given by
$$ \mu = \frac{q}{2m}L $$
(continue with completing this text and look at what happens to the M1 GSF when the orbital g-factors change, calculate some magnetic moments for different spin g-factors and see what makes most sense!) TBC
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