Scaling theory of excitations in trapped fermionic condensates

Formulas are derived for the coupled quadrupolar and monopolar oscillations of a fermion condensate trapped in a axially symmetric harmonic potential. We consider two-component condensates with a large particle-particle scattering length and in the limits of frequencies either small (adiabatic) or large (diabatic) compared to the pairing gap. Using the method of coordinate scaling, we reproduce Stringari's results for adiabatic excitations and present new results for the diabatic limit. Unlike the adiabatic oscillations, the diabatic ones show sensitivity to the interaction between particles.