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We extend and clarify the large-charge expansion of the conformal dimension$\Delta_Q$ of the lowest operator of charge $Q$ in nonrelativistic CFTs usingthe state-operator correspondence. The latter requires coupling the theory toan external harmonic trap that confines the particles to a spherical cloud, atthe edge of which the effective theory breaks down and leads to divergences.Only recently has this issue been overcome by constructing appropriatecounterterms at the edge of the cloud in arXiv:2010.07967. In this note, weextend these results by systematically analyzing the degree of divergence ofoperators in the effective action and show that there always exist appropriateedge counterterms that make the final contributions to $\Delta_Q$ finite. Onthe other side of the correspondence, this also provides new corrections to theThomas-Fermi approximation of the unitary Fermi gas, and we comment on theirrelevance for ultracold atom physics.

Operator spectrum of nonrelativistic CFTs at large charge