Treatment of proton and neutron contributions

The above expressions for the mass tensor are valid for one kind of fermions only. In the case of the cranking approximation, the total mass tensor is a sum of neutron and proton contributions:

$${\cal M}^C_{\rm total} = {\cal M}^C_{\rm n} + {\cal M}^C_{\rm p}.$$ (65)

In the GOA, however, the total inverse inertia $({\cal M}^{\rm GOA}_{\rm total})^{-1}$ for a composite system is given as a sum of proton and neutron inverse covariant inertia tensors [24]:

$$({\cal M}^{\rm GOA}_{\rm total})^{-1}= ({\cal M}^{\rm GOA}_n)^{-1} + ({\cal M}^{\rm GOA}_p)^{-1}.$$ (66)